Merge branch 'Baer' of https://github.com/JODBaer/SeminarMatrizen into Baer

10 files changed, 389 insertions, 154 deletions

diff --git a/buch/papers/reedsolomon/RS presentation/README.txt b/buch/papers/reedsolomon/RS presentation/README.txt
new file mode 100644
index 0000000..4d0620f
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/README.txt
@@ -0,0 +1 @@
+Dies ist die Presentation des Reed-Solomon-Code
\ No newline at end of file
diff --git a/buch/papers/reedsolomon/RS presentation/RS.aux b/buch/papers/reedsolomon/RS presentation/RS.aux
index 005172f..065ba66 100644
--- a/buch/papers/reedsolomon/RS presentation/RS.aux
+++ b/buch/papers/reedsolomon/RS presentation/RS.aux
@@ -26,52 +26,121 @@
 \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{1}}}
 \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{1}}}
 \@writefile{nav}{\headcommand {\sectionentry {1}{Einführung}{2}{Einführung}{0}}}
-\@writefile{nav}{\headcommand {\slideentry {1}{0}{1}{2/2}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
-\HyPL@Entry{2<</P(3)>>}
-\@writefile{toc}{\beamer@sectionintoc {2}{Polynom Ansatz}{3}{0}{2}}
-\@writefile{nav}{\headcommand {\beamer@sectionpages {2}{2}}}
-\@writefile{nav}{\headcommand {\beamer@subsectionpages {2}{2}}}
-\@writefile{nav}{\headcommand {\sectionentry {2}{Polynom Ansatz}{3}{Polynom Ansatz}{0}}}
-\@writefile{nav}{\headcommand {\slideentry {2}{0}{1}{3/3}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
-\HyPL@Entry{3<</P(4)>>}
-\@writefile{nav}{\headcommand {\slideentry {2}{0}{2}{4/5}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {4}{5}}}
-\HyPL@Entry{5<</P(5)>>}
-\@writefile{nav}{\headcommand {\slideentry {2}{0}{3}{6/6}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}
-\HyPL@Entry{6<</P(6)>>}
-\@writefile{toc}{\beamer@sectionintoc {3}{Fourier Transformation}{7}{0}{3}}
-\@writefile{nav}{\headcommand {\beamer@sectionpages {3}{6}}}
-\@writefile{nav}{\headcommand {\beamer@subsectionpages {3}{6}}}
-\@writefile{nav}{\headcommand {\sectionentry {3}{Fourier Transformation}{7}{Fourier Transformation}{0}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{0}{1}{7/7}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}}
-\HyPL@Entry{7<</P(7)>>}
-\@writefile{nav}{\headcommand {\slideentry {3}{0}{2}{8/14}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {8}{14}}}
-\HyPL@Entry{14<</P(8)>>}
-\@writefile{toc}{\beamer@sectionintoc {4}{Diskrete Fourier Transformation}{15}{0}{4}}
-\@writefile{nav}{\headcommand {\beamer@sectionpages {7}{14}}}
-\@writefile{nav}{\headcommand {\beamer@subsectionpages {7}{14}}}
-\@writefile{nav}{\headcommand {\sectionentry {4}{Diskrete Fourier Transformation}{15}{Diskrete Fourier Transformation}{0}}}
-\@writefile{snm}{\beamer@slide {ft_discrete}{15}}
-\newlabel{ft_discrete}{{8}{15}{Diskrete Fourier Transformation}{Doc-Start}{}}
-\@writefile{nav}{\headcommand {\slideentry {4}{0}{1}{15/15}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
-\HyPL@Entry{15<</P(9)>>}
-\@writefile{nav}{\headcommand {\slideentry {4}{0}{2}{16/16}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}
-\HyPL@Entry{16<</P(10)>>}
-\@writefile{toc}{\beamer@sectionintoc {5}{Probleme und Fragen}{17}{0}{5}}
-\@writefile{nav}{\headcommand {\beamer@sectionpages {15}{16}}}
-\@writefile{nav}{\headcommand {\beamer@subsectionpages {15}{16}}}
-\@writefile{nav}{\headcommand {\sectionentry {5}{Probleme und Fragen}{17}{Probleme und Fragen}{0}}}
-\@writefile{nav}{\headcommand {\slideentry {5}{0}{1}{17/18}{}{0}}}
-\@writefile{nav}{\headcommand {\beamer@framepages {17}{18}}}
-\@writefile{nav}{\headcommand {\beamer@partpages {1}{18}}}
-\@writefile{nav}{\headcommand {\beamer@subsectionpages {17}{18}}}
-\@writefile{nav}{\headcommand {\beamer@sectionpages {17}{18}}}
-\@writefile{nav}{\headcommand {\beamer@documentpages {18}}}
-\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {10}}}
+\@writefile{nav}{\headcommand {\slideentry {1}{0}{1}{2/4}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {2}{4}}}
+\HyPL@Entry{4<</P(3)>>}
+\@writefile{toc}{\beamer@sectionintoc {2}{Polynom Ansatz}{5}{0}{2}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {2}{4}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {2}{4}}}
+\@writefile{nav}{\headcommand {\sectionentry {2}{Polynom Ansatz}{5}{Polynom Ansatz}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {2}{0}{1}{5/5}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
+\HyPL@Entry{5<</P(4)>>}
+\@writefile{nav}{\headcommand {\slideentry {2}{0}{2}{6/8}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {6}{8}}}
+\HyPL@Entry{8<</P(5)>>}
+\@writefile{nav}{\headcommand {\slideentry {2}{0}{3}{9/12}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {9}{12}}}
+\HyPL@Entry{12<</P(6)>>}
+\@writefile{toc}{\beamer@sectionintoc {3}{Diskrete Fourier Transformation}{13}{0}{3}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {5}{12}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {5}{12}}}
+\@writefile{nav}{\headcommand {\sectionentry {3}{Diskrete Fourier Transformation}{13}{Diskrete Fourier Transformation}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{1}{13/13}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}}
+\HyPL@Entry{13<</P(7)>>}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{2}{14/20}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {14}{20}}}
+\HyPL@Entry{20<</P(8)>>}
+\@writefile{snm}{\beamer@slide {ft_discrete}{21}}
+\newlabel{ft_discrete}{{8}{21}{Diskrete Fourier Transformation}{Doc-Start}{}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{3}{21/23}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {21}{23}}}
+\HyPL@Entry{23<</P(9)>>}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{4}{24/24}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}}
+\HyPL@Entry{24<</P(10)>>}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{5}{25/26}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {25}{26}}}
+\HyPL@Entry{26<</P(11)>>}
+\@writefile{toc}{\beamer@sectionintoc {4}{Reed-Solomon in Endlichen Körpern}{27}{0}{4}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {13}{26}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {13}{26}}}
+\@writefile{nav}{\headcommand {\sectionentry {4}{Reed-Solomon in Endlichen Körpern}{27}{Reed-Solomon in Endlichen Körpern}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{1}{27/27}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {27}{27}}}
+\HyPL@Entry{27<</P(12)>>}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{2}{28/28}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {28}{28}}}
+\HyPL@Entry{28<</P(13)>>}
+\@writefile{toc}{\beamer@sectionintoc {5}{Codierung eines Beispiels}{29}{0}{5}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {27}{28}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {27}{28}}}
+\@writefile{nav}{\headcommand {\sectionentry {5}{Codierung eines Beispiels}{29}{Codierung eines Beispiels}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{1}{29/29}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {29}{29}}}
+\HyPL@Entry{29<</P(14)>>}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{2}{30/30}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {30}{30}}}
+\HyPL@Entry{30<</P(15)>>}
+\@writefile{toc}{\beamer@sectionintoc {6}{Decodierung ohne Fehler}{31}{0}{6}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {29}{30}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {29}{30}}}
+\@writefile{nav}{\headcommand {\sectionentry {6}{Decodierung ohne Fehler}{31}{Decodierung ohne Fehler}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {6}{0}{1}{31/31}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {31}{31}}}
+\HyPL@Entry{31<</P(16)>>}
+\@writefile{nav}{\headcommand {\slideentry {6}{0}{2}{32/34}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {32}{34}}}
+\HyPL@Entry{34<</P(17)>>}
+\@writefile{nav}{\headcommand {\slideentry {6}{0}{3}{35/35}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {35}{35}}}
+\HyPL@Entry{35<</P(18)>>}
+\@writefile{toc}{\beamer@sectionintoc {7}{Decodierung mit Fehler}{36}{0}{7}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {31}{35}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {31}{35}}}
+\@writefile{nav}{\headcommand {\sectionentry {7}{Decodierung mit Fehler}{36}{Decodierung mit Fehler}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {7}{0}{1}{36/36}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {36}{36}}}
+\HyPL@Entry{36<</P(19)>>}
+\@writefile{nav}{\headcommand {\slideentry {7}{0}{2}{37/37}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {37}{37}}}
+\HyPL@Entry{37<</P(20)>>}
+\@writefile{nav}{\headcommand {\slideentry {7}{0}{3}{38/38}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {38}{38}}}
+\HyPL@Entry{38<</P(21)>>}
+\@writefile{nav}{\headcommand {\slideentry {7}{0}{4}{39/39}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {39}{39}}}
+\HyPL@Entry{39<</P(22)>>}
+\@writefile{nav}{\headcommand {\slideentry {7}{0}{5}{40/40}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {40}{40}}}
+\HyPL@Entry{40<</P(23)>>}
+\@writefile{nav}{\headcommand {\slideentry {7}{0}{6}{41/42}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {41}{42}}}
+\HyPL@Entry{42<</P(24)>>}
+\@writefile{toc}{\beamer@sectionintoc {8}{Nachricht Rekonstruieren}{43}{0}{8}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {36}{42}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {36}{42}}}
+\@writefile{nav}{\headcommand {\sectionentry {8}{Nachricht Rekonstruieren}{43}{Nachricht Rekonstruieren}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {8}{0}{1}{43/46}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {43}{46}}}
+\HyPL@Entry{46<</P(25)>>}
+\@writefile{nav}{\headcommand {\slideentry {8}{0}{2}{47/49}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {47}{49}}}
+\HyPL@Entry{49<</P(26)>>}
+\@writefile{nav}{\headcommand {\slideentry {8}{0}{3}{50/51}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {50}{51}}}
+\HyPL@Entry{51<</P(27)>>}
+\@writefile{nav}{\headcommand {\slideentry {8}{0}{4}{52/52}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {52}{52}}}
+\HyPL@Entry{52<</P(28)>>}
+\@writefile{nav}{\headcommand {\slideentry {8}{0}{5}{53/53}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {53}{53}}}
+\HyPL@Entry{53<</P(29)>>}
+\@writefile{nav}{\headcommand {\slideentry {8}{0}{6}{54/54}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {54}{54}}}
+\@writefile{nav}{\headcommand {\beamer@partpages {1}{54}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {43}{54}}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {43}{54}}}
+\@writefile{nav}{\headcommand {\beamer@documentpages {54}}}
+\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {29}}}
diff --git a/buch/papers/reedsolomon/RS presentation/RS.log b/buch/papers/reedsolomon/RS presentation/RS.log
index 4e1c806..6042adc 100644
--- a/buch/papers/reedsolomon/RS presentation/RS.log
+++ b/buch/papers/reedsolomon/RS presentation/RS.log
@@ -1,4 +1,4 @@
-This is XeTeX, Version 3.14159265-2.6-0.999991 (TeX Live 2019/W32TeX) (preloaded format=xelatex 2019.10.25)  21 APR 2021 18:18
+This is XeTeX, Version 3.14159265-2.6-0.999991 (TeX Live 2019/W32TeX) (preloaded format=xelatex 2019.10.25)  23 APR 2021 10:48
 entering extended mode
  restricted \write18 enabled.
  %&-line parsing enabled.
@@ -974,141 +974,252 @@ Package hyperref Warning: Option `pdfsubject' has already been used,
 
 ]
 LaTeX Font Info:    Trying to load font information for OT1+lmss on input line 
-29.
+32.
  (c:/texlive/2019/texmf-dist/tex/latex/lm/ot1lmss.fd
 File: ot1lmss.fd 2009/10/30 v1.6 Font defs for Latin Modern
 )
-LaTeX Font Info:    Trying to load font information for OML+lmm on input line 2
-9.
+LaTeX Font Info:    Trying to load font information for OML+lmm on input line 3
+2.
 
 (c:/texlive/2019/texmf-dist/tex/latex/lm/omllmm.fd
 File: omllmm.fd 2009/10/30 v1.6 Font defs for Latin Modern
 )
 LaTeX Font Info:    Trying to load font information for OMS+lmsy on input line 
-29.
+32.
 
 (c:/texlive/2019/texmf-dist/tex/latex/lm/omslmsy.fd
 File: omslmsy.fd 2009/10/30 v1.6 Font defs for Latin Modern
 )
 LaTeX Font Info:    Trying to load font information for OMX+lmex on input line 
-29.
+32.
 
 (c:/texlive/2019/texmf-dist/tex/latex/lm/omxlmex.fd
 File: omxlmex.fd 2009/10/30 v1.6 Font defs for Latin Modern
 )
 LaTeX Font Info:    External font `lmex10' loaded for size
-(Font)              <10.95> on input line 29.
+(Font)              <10.95> on input line 32.
 LaTeX Font Info:    External font `lmex10' loaded for size
-(Font)              <8> on input line 29.
+(Font)              <8> on input line 32.
 LaTeX Font Info:    External font `lmex10' loaded for size
-(Font)              <6> on input line 29.
-LaTeX Font Info:    Trying to load font information for U+msa on input line 29.
+(Font)              <6> on input line 32.
+LaTeX Font Info:    Trying to load font information for U+msa on input line 32.
 
 
 (c:/texlive/2019/texmf-dist/tex/latex/amsfonts/umsa.fd
 File: umsa.fd 2013/01/14 v3.01 AMS symbols A
 )
-LaTeX Font Info:    Trying to load font information for U+msb on input line 29.
+LaTeX Font Info:    Trying to load font information for U+msb on input line 32.
 
 
 (c:/texlive/2019/texmf-dist/tex/latex/amsfonts/umsb.fd
 File: umsb.fd 2013/01/14 v3.01 AMS symbols B
 )
 LaTeX Font Info:    Font shape `T1/lmss/m/it' in size <10.95> not available
-(Font)              Font shape `T1/lmss/m/sl' tried instead on input line 29.
+(Font)              Font shape `T1/lmss/m/sl' tried instead on input line 32.
 LaTeX Font Info:    Font shape `T1/lmss/m/it' in size <8> not available
-(Font)              Font shape `T1/lmss/m/sl' tried instead on input line 29.
+(Font)              Font shape `T1/lmss/m/sl' tried instead on input line 32.
 LaTeX Font Info:    Font shape `T1/lmss/m/it' in size <6> not available
-(Font)              Font shape `T1/lmss/m/sl' tried instead on input line 29.
+(Font)              Font shape `T1/lmss/m/sl' tried instead on input line 32.
  [2
 
 ] [3
 
+] [4
+
+] [5
+
+]
+[6
+
 ]
 File: images/polynom1.pdf Graphic file (type pdf)
 <use images/polynom1.pdf>
- [4
+ [7
 
 ]
 File: images/polynom2.pdf Graphic file (type pdf)
 <use images/polynom2.pdf>
- [5
+ [8
 
-]
-[6
+] [9
 
-] [7
+] [10
+
+] [11
+
+] [12
+
+] [13
 
 ]
 File: images/fig1.pdf Graphic file (type pdf)
 <use images/fig1.pdf>
 
-Overfull \vbox (14.63716pt too high) detected at line 105
+Overfull \vbox (14.63716pt too high) detected at line 124
  []
 
-[8
+[14
 
 ]
 File: images/fig2.pdf Graphic file (type pdf)
 <use images/fig2.pdf>
 
-Overfull \vbox (14.63716pt too high) detected at line 105
+Overfull \vbox (14.63716pt too high) detected at line 124
  []
 
-[9
+[15
 
 ]
 File: images/fig3.pdf Graphic file (type pdf)
 <use images/fig3.pdf>
 
-Overfull \vbox (14.63716pt too high) detected at line 105
+Overfull \vbox (14.63716pt too high) detected at line 124
  []
 
-[10
+[16
 
 ]
 File: images/fig4.pdf Graphic file (type pdf)
 <use images/fig4.pdf>
 
-Overfull \vbox (14.63716pt too high) detected at line 105
+Overfull \vbox (14.63716pt too high) detected at line 124
  []
 
-[11
+[17
 
 ]
 File: images/fig5.pdf Graphic file (type pdf)
 <use images/fig5.pdf>
 
-Overfull \vbox (14.63716pt too high) detected at line 105
+Overfull \vbox (14.63716pt too high) detected at line 124
  []
 
-[12
+[18
 
 ]
 File: images/fig6.pdf Graphic file (type pdf)
 <use images/fig6.pdf>
 
-Overfull \vbox (14.63716pt too high) detected at line 105
+Overfull \vbox (14.63716pt too high) detected at line 124
  []
 
-[13
+[19
 
 ]
 File: images/fig7.pdf Graphic file (type pdf)
 <use images/fig7.pdf>
 
-Overfull \vbox (14.63716pt too high) detected at line 105
+Overfull \vbox (14.63716pt too high) detected at line 124
  []
 
-[14
+[20
+
+] [21
+
+] [22
+
+] [23
+
+] [24
+
+] [25
+
+] [26
+
+] [27
+
+] [28
+
+]
+LaTeX Font Info:    Trying to load font information for T1+lmr on input line 30
+0.
+
+(c:/texlive/2019/texmf-dist/tex/latex/lm/t1lmr.fd
+File: t1lmr.fd 2009/10/30 v1.6 Font defs for Latin Modern
+) [29
+
+] [30
+
+]
+LaTeX Font Info:    Trying to load font information for U+euf on input line 383
+.
+
+(c:/texlive/2019/texmf-dist/tex/latex/amsfonts/ueuf.fd
+File: ueuf.fd 2013/01/14 v3.01 Euler Fraktur
+)
+Overfull \hbox (1.42268pt too wide) detected at line 383
+\U/euf/m/n/10.95 F[]\OT1/lmss/m/n/10.95 (\T1/lmss/m/sl/10.95 F\OT1/lmss/m/n/10.
+95 (\OML/lmm/m/it/10.95 !\OT1/lmss/m/n/10.95 )) = \T1/lmss/m/sl/10.95 f\OT1/lms
+s/m/n/10.95 (\T1/lmss/m/sl/10.95 t\OT1/lmss/m/n/10.95 ) = [] [][] \T1/lmss/m/sl
+/10.95 F\OT1/lmss/m/n/10.95 (\OML/lmm/m/it/10.95 !\OT1/lmss/m/n/10.95 )\T1/lmr/
+m/n/10.95 e[]\T1/lmss/m/sl/10.95 d\OML/lmm/m/it/10.95 !
+ []
+
+[31
 
-] [15
+] [32
 
-] [16
+] [33
 
-] [17
+] [34
 
-] [18
+] [35
+
+] [36
+
+] [37
+
+] [38
+
+]
+LaTeX Font Info:    External font `lmex10' loaded for size
+(Font)              <14.4> on input line 638.
+LaTeX Font Info:    External font `lmex10' loaded for size
+(Font)              <10> on input line 638.
+LaTeX Font Info:    External font `lmex10' loaded for size
+(Font)              <7> on input line 638.
+LaTeX Font Info:    Font shape `T1/lmss/m/it' in size <14.4> not available
+(Font)              Font shape `T1/lmss/m/sl' tried instead on input line 638.
+LaTeX Font Info:    Font shape `T1/lmss/m/it' in size <10> not available
+(Font)              Font shape `T1/lmss/m/sl' tried instead on input line 638.
+LaTeX Font Info:    Font shape `T1/lmss/m/it' in size <7> not available
+(Font)              Font shape `T1/lmss/m/sl' tried instead on input line 638.
+ [39
+
+]
+Overfull \hbox (2.91844pt too wide) detected at line 674
+[]
+ []
+
+[40
+
+] [41
+
+] [42
+
+] [43
+
+] [44
+
+] [45
+
+] [46
+
+] [47
+
+] [48
+
+] [49
+
+] [50
+
+] [51
+
+] [52
+
+] [53
+
+] [54
 
 ]
 \tf@nav=\write6
@@ -1120,21 +1231,22 @@ Overfull \vbox (14.63716pt too high) detected at line 105
 \tf@snm=\write8
 \openout8 = `RS.snm'.
 
-Package atveryend Info: Empty hook `BeforeClearDocument' on input line 160.
-Package atveryend Info: Empty hook `AfterLastShipout' on input line 160.
- (./RS.aux)
-Package atveryend Info: Empty hook `AtVeryEndDocument' on input line 160.
-Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 160.
+Package atveryend Info: Empty hook `BeforeClearDocument' on input line 928.
+Package atveryend Info: Empty hook `AfterLastShipout' on input line 928.
+
+(./RS.aux)
+Package atveryend Info: Empty hook `AtVeryEndDocument' on input line 928.
+Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 928.
 Package rerunfilecheck Info: File `RS.out' has not changed.
-(rerunfilecheck)             Checksum: 74C688051BF542B3A11E9793A97790F4.
+(rerunfilecheck)             Checksum: CBEDF1F633104E8EE4EB074E401487DA.
  ) 
 Here is how much of TeX's memory you used:
- 24400 strings out of 492483
- 451960 string characters out of 6132858
- 534889 words of memory out of 5000000
- 28378 multiletter control sequences out of 15000+600000
- 37892 words of font info for 41 fonts, out of 8000000 for 9000
+ 24528 strings out of 492483
+ 453801 string characters out of 6132858
+ 557615 words of memory out of 5000000
+ 28488 multiletter control sequences out of 15000+600000
+ 82614 words of font info for 73 fonts, out of 8000000 for 9000
  1348 hyphenation exceptions out of 8191
- 58i,15n,61p,796b,549s stack positions out of 5000i,500n,10000p,200000b,80000s
+ 58i,15n,61p,796b,566s stack positions out of 5000i,500n,10000p,200000b,80000s
 
-Output written on RS.pdf (18 pages).
+Output written on RS.pdf (54 pages).
diff --git a/buch/papers/reedsolomon/RS presentation/RS.nav b/buch/papers/reedsolomon/RS presentation/RS.nav
index 1d67391..f288963 100644
--- a/buch/papers/reedsolomon/RS presentation/RS.nav
+++ b/buch/papers/reedsolomon/RS presentation/RS.nav
@@ -3,38 +3,85 @@
 \headcommand {\beamer@sectionpages {1}{1}}
 \headcommand {\beamer@subsectionpages {1}{1}}
 \headcommand {\sectionentry {1}{Einführung}{2}{Einführung}{0}}
-\headcommand {\slideentry {1}{0}{1}{2/2}{}{0}}
-\headcommand {\beamer@framepages {2}{2}}
-\headcommand {\beamer@sectionpages {2}{2}}
-\headcommand {\beamer@subsectionpages {2}{2}}
-\headcommand {\sectionentry {2}{Polynom Ansatz}{3}{Polynom Ansatz}{0}}
-\headcommand {\slideentry {2}{0}{1}{3/3}{}{0}}
-\headcommand {\beamer@framepages {3}{3}}
-\headcommand {\slideentry {2}{0}{2}{4/5}{}{0}}
-\headcommand {\beamer@framepages {4}{5}}
-\headcommand {\slideentry {2}{0}{3}{6/6}{}{0}}
-\headcommand {\beamer@framepages {6}{6}}
-\headcommand {\beamer@sectionpages {3}{6}}
-\headcommand {\beamer@subsectionpages {3}{6}}
-\headcommand {\sectionentry {3}{Fourier Transformation}{7}{Fourier Transformation}{0}}
-\headcommand {\slideentry {3}{0}{1}{7/7}{}{0}}
-\headcommand {\beamer@framepages {7}{7}}
-\headcommand {\slideentry {3}{0}{2}{8/14}{}{0}}
-\headcommand {\beamer@framepages {8}{14}}
-\headcommand {\beamer@sectionpages {7}{14}}
-\headcommand {\beamer@subsectionpages {7}{14}}
-\headcommand {\sectionentry {4}{Diskrete Fourier Transformation}{15}{Diskrete Fourier Transformation}{0}}
-\headcommand {\slideentry {4}{0}{1}{15/15}{}{0}}
-\headcommand {\beamer@framepages {15}{15}}
-\headcommand {\slideentry {4}{0}{2}{16/16}{}{0}}
-\headcommand {\beamer@framepages {16}{16}}
-\headcommand {\beamer@sectionpages {15}{16}}
-\headcommand {\beamer@subsectionpages {15}{16}}
-\headcommand {\sectionentry {5}{Probleme und Fragen}{17}{Probleme und Fragen}{0}}
-\headcommand {\slideentry {5}{0}{1}{17/18}{}{0}}
-\headcommand {\beamer@framepages {17}{18}}
-\headcommand {\beamer@partpages {1}{18}}
-\headcommand {\beamer@subsectionpages {17}{18}}
-\headcommand {\beamer@sectionpages {17}{18}}
-\headcommand {\beamer@documentpages {18}}
-\headcommand {\gdef \inserttotalframenumber {10}}
+\headcommand {\slideentry {1}{0}{1}{2/4}{}{0}}
+\headcommand {\beamer@framepages {2}{4}}
+\headcommand {\beamer@sectionpages {2}{4}}
+\headcommand {\beamer@subsectionpages {2}{4}}
+\headcommand {\sectionentry {2}{Polynom Ansatz}{5}{Polynom Ansatz}{0}}
+\headcommand {\slideentry {2}{0}{1}{5/5}{}{0}}
+\headcommand {\beamer@framepages {5}{5}}
+\headcommand {\slideentry {2}{0}{2}{6/8}{}{0}}
+\headcommand {\beamer@framepages {6}{8}}
+\headcommand {\slideentry {2}{0}{3}{9/12}{}{0}}
+\headcommand {\beamer@framepages {9}{12}}
+\headcommand {\beamer@sectionpages {5}{12}}
+\headcommand {\beamer@subsectionpages {5}{12}}
+\headcommand {\sectionentry {3}{Diskrete Fourier Transformation}{13}{Diskrete Fourier Transformation}{0}}
+\headcommand {\slideentry {3}{0}{1}{13/13}{}{0}}
+\headcommand {\beamer@framepages {13}{13}}
+\headcommand {\slideentry {3}{0}{2}{14/20}{}{0}}
+\headcommand {\beamer@framepages {14}{20}}
+\headcommand {\slideentry {3}{0}{3}{21/23}{}{0}}
+\headcommand {\beamer@framepages {21}{23}}
+\headcommand {\slideentry {3}{0}{4}{24/24}{}{0}}
+\headcommand {\beamer@framepages {24}{24}}
+\headcommand {\slideentry {3}{0}{5}{25/26}{}{0}}
+\headcommand {\beamer@framepages {25}{26}}
+\headcommand {\beamer@sectionpages {13}{26}}
+\headcommand {\beamer@subsectionpages {13}{26}}
+\headcommand {\sectionentry {4}{Reed-Solomon in Endlichen Körpern}{27}{Reed-Solomon in Endlichen Körpern}{0}}
+\headcommand {\slideentry {4}{0}{1}{27/27}{}{0}}
+\headcommand {\beamer@framepages {27}{27}}
+\headcommand {\slideentry {4}{0}{2}{28/28}{}{0}}
+\headcommand {\beamer@framepages {28}{28}}
+\headcommand {\beamer@sectionpages {27}{28}}
+\headcommand {\beamer@subsectionpages {27}{28}}
+\headcommand {\sectionentry {5}{Codierung eines Beispiels}{29}{Codierung eines Beispiels}{0}}
+\headcommand {\slideentry {5}{0}{1}{29/29}{}{0}}
+\headcommand {\beamer@framepages {29}{29}}
+\headcommand {\slideentry {5}{0}{2}{30/30}{}{0}}
+\headcommand {\beamer@framepages {30}{30}}
+\headcommand {\beamer@sectionpages {29}{30}}
+\headcommand {\beamer@subsectionpages {29}{30}}
+\headcommand {\sectionentry {6}{Decodierung ohne Fehler}{31}{Decodierung ohne Fehler}{0}}
+\headcommand {\slideentry {6}{0}{1}{31/31}{}{0}}
+\headcommand {\beamer@framepages {31}{31}}
+\headcommand {\slideentry {6}{0}{2}{32/34}{}{0}}
+\headcommand {\beamer@framepages {32}{34}}
+\headcommand {\slideentry {6}{0}{3}{35/35}{}{0}}
+\headcommand {\beamer@framepages {35}{35}}
+\headcommand {\beamer@sectionpages {31}{35}}
+\headcommand {\beamer@subsectionpages {31}{35}}
+\headcommand {\sectionentry {7}{Decodierung mit Fehler}{36}{Decodierung mit Fehler}{0}}
+\headcommand {\slideentry {7}{0}{1}{36/36}{}{0}}
+\headcommand {\beamer@framepages {36}{36}}
+\headcommand {\slideentry {7}{0}{2}{37/37}{}{0}}
+\headcommand {\beamer@framepages {37}{37}}
+\headcommand {\slideentry {7}{0}{3}{38/38}{}{0}}
+\headcommand {\beamer@framepages {38}{38}}
+\headcommand {\slideentry {7}{0}{4}{39/39}{}{0}}
+\headcommand {\beamer@framepages {39}{39}}
+\headcommand {\slideentry {7}{0}{5}{40/40}{}{0}}
+\headcommand {\beamer@framepages {40}{40}}
+\headcommand {\slideentry {7}{0}{6}{41/42}{}{0}}
+\headcommand {\beamer@framepages {41}{42}}
+\headcommand {\beamer@sectionpages {36}{42}}
+\headcommand {\beamer@subsectionpages {36}{42}}
+\headcommand {\sectionentry {8}{Nachricht Rekonstruieren}{43}{Nachricht Rekonstruieren}{0}}
+\headcommand {\slideentry {8}{0}{1}{43/46}{}{0}}
+\headcommand {\beamer@framepages {43}{46}}
+\headcommand {\slideentry {8}{0}{2}{47/49}{}{0}}
+\headcommand {\beamer@framepages {47}{49}}
+\headcommand {\slideentry {8}{0}{3}{50/51}{}{0}}
+\headcommand {\beamer@framepages {50}{51}}
+\headcommand {\slideentry {8}{0}{4}{52/52}{}{0}}
+\headcommand {\beamer@framepages {52}{52}}
+\headcommand {\slideentry {8}{0}{5}{53/53}{}{0}}
+\headcommand {\beamer@framepages {53}{53}}
+\headcommand {\slideentry {8}{0}{6}{54/54}{}{0}}
+\headcommand {\beamer@framepages {54}{54}}
+\headcommand {\beamer@partpages {1}{54}}
+\headcommand {\beamer@subsectionpages {43}{54}}
+\headcommand {\beamer@sectionpages {43}{54}}
+\headcommand {\beamer@documentpages {54}}
+\headcommand {\gdef \inserttotalframenumber {29}}
diff --git a/buch/papers/reedsolomon/RS presentation/RS.out b/buch/papers/reedsolomon/RS presentation/RS.out
index 32b9a2c..364319e 100644
--- a/buch/papers/reedsolomon/RS presentation/RS.out
+++ b/buch/papers/reedsolomon/RS presentation/RS.out
@@ -1,5 +1,8 @@
 \BOOKMARK [2][]{Outline0.1}{Einführung}{}% 1
 \BOOKMARK [2][]{Outline0.2}{Polynom\040Ansatz}{}% 2
-\BOOKMARK [2][]{Outline0.3}{Fourier\040Transformation}{}% 3
-\BOOKMARK [2][]{Outline0.4}{Diskrete\040Fourier\040Transformation}{}% 4
-\BOOKMARK [2][]{Outline0.5}{Probleme\040und\040Fragen}{}% 5
+\BOOKMARK [2][]{Outline0.3}{Diskrete\040Fourier\040Transformation}{}% 3
+\BOOKMARK [2][]{Outline0.4}{Reed-Solomon in Endlichen Körpern}{}% 4
+\BOOKMARK [2][]{Outline0.5}{Codierung\040eines\040Beispiels}{}% 5
+\BOOKMARK [2][]{Outline0.6}{Decodierung\040ohne\040Fehler}{}% 6
+\BOOKMARK [2][]{Outline0.7}{Decodierung\040mit\040Fehler}{}% 7
+\BOOKMARK [2][]{Outline0.8}{Nachricht\040Rekonstruieren}{}% 8
diff --git a/buch/papers/reedsolomon/RS presentation/RS.pdf b/buch/papers/reedsolomon/RS presentation/RS.pdf
index 913bc42..d9d6693 100644
--- a/buch/papers/reedsolomon/RS presentation/RS.pdf
+++ b/buch/papers/reedsolomon/RS presentation/RS.pdf
diff --git a/buch/papers/reedsolomon/RS presentation/RS.snm b/buch/papers/reedsolomon/RS presentation/RS.snm
index 6607ea8..86859c9 100644
--- a/buch/papers/reedsolomon/RS presentation/RS.snm
+++ b/buch/papers/reedsolomon/RS presentation/RS.snm
@@ -1 +1 @@
-\beamer@slide {ft_discrete}{15}
+\beamer@slide {ft_discrete}{21}
diff --git a/buch/papers/reedsolomon/RS presentation/RS.synctex.gz b/buch/papers/reedsolomon/RS presentation/RS.synctex.gz
index 001b5c8..04bd239 100644
--- a/buch/papers/reedsolomon/RS presentation/RS.synctex.gz
+++ b/buch/papers/reedsolomon/RS presentation/RS.synctex.gz
diff --git a/buch/papers/reedsolomon/RS presentation/RS.tex b/buch/papers/reedsolomon/RS presentation/RS.tex
index c215e66..6ee6cc7 100644
--- a/buch/papers/reedsolomon/RS presentation/RS.tex
+++ b/buch/papers/reedsolomon/RS presentation/RS.tex
@@ -43,18 +43,18 @@
 		${f}_2=\textcolor{blue}{2}$, ${f}_1=\textcolor{blue}{1}$, ${f}_0=\textcolor{blue}{5}$ 
 		als $ p(w) = \textcolor{blue}{2}w^2 + \textcolor{blue}{1}w + \textcolor{blue}{5} $.
 		
-		\only<1>{
-			Versende $ (p(1),p(2),\dots,p(7)) = (\textcolor{green}{8}, 
-			\textcolor{green}{15}, \textcolor{green}{26},
-			\textcolor{green}{41}, \textcolor{green}{60}, 
-			\textcolor{green}{83}, \textcolor{green}{110})$	
-			\includegraphics[scale = 1.2]{images/polynom1.pdf}}
-		\only<2>{
-			Versende $ (p(1),p(2),\dots,p(7)) = (\textcolor{green}{8}, 
-			\textcolor{red}{50}, \textcolor{red}{37},
-			\textcolor{green}{41}, \textcolor{green}{60}, 
-			\textcolor{green}{83}, \textcolor{green}{110})$
-			\includegraphics[scale = 1.2]{images/polynom2.pdf}
+		
+			Versende $ (p(1),p(2),\dots,p(7))$
+			\visible<2->{ = (\textcolor{green}{8},} 
+			\only<2>{\textcolor{green}{15},}
+			\only<3>{\textcolor{red}{50},}
+			\only<2>{\textcolor{green}{26},}
+			\only<3>{\textcolor{red}{37},}
+			\visible<2->{\textcolor{green}{41}, \textcolor{green}{60}, 
+			\textcolor{green}{83}, \textcolor{green}{110})}	
+			\only<2>{\includegraphics[scale = 1.2]{images/polynom1.pdf}}
+			\only<3>{\includegraphics[scale = 1.2]{images/polynom2.pdf}}
+			\visible<3>{
 			\newline
 			\textcolor{green}{7} Zahlen versenden, um \textcolor{blue}{3} Zahlen gegen \textcolor{red}{2} Fehlern abzusichern.}
 	\end{frame}
diff --git a/buch/papers/reedsolomon/RS presentation/RS.toc b/buch/papers/reedsolomon/RS presentation/RS.toc
index 44c06ab..095b5e6 100644
--- a/buch/papers/reedsolomon/RS presentation/RS.toc
+++ b/buch/papers/reedsolomon/RS presentation/RS.toc
@@ -1,6 +1,9 @@
 \babel@toc {ngerman}{}
 \beamer@sectionintoc {1}{Einführung}{2}{0}{1}
-\beamer@sectionintoc {2}{Polynom Ansatz}{3}{0}{2}
-\beamer@sectionintoc {3}{Fourier Transformation}{7}{0}{3}
-\beamer@sectionintoc {4}{Diskrete Fourier Transformation}{15}{0}{4}
-\beamer@sectionintoc {5}{Probleme und Fragen}{17}{0}{5}
+\beamer@sectionintoc {2}{Polynom Ansatz}{5}{0}{2}
+\beamer@sectionintoc {3}{Diskrete Fourier Transformation}{13}{0}{3}
+\beamer@sectionintoc {4}{Reed-Solomon in Endlichen Körpern}{27}{0}{4}
+\beamer@sectionintoc {5}{Codierung eines Beispiels}{29}{0}{5}
+\beamer@sectionintoc {6}{Decodierung ohne Fehler}{31}{0}{6}
+\beamer@sectionintoc {7}{Decodierung mit Fehler}{36}{0}{7}
+\beamer@sectionintoc {8}{Nachricht Rekonstruieren}{43}{0}{8}