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endobj endobj (2.1. 41 0 obj (2.5. This book is based on lecture notes from coding theory courses taught by Venkatesan Gu-ruswami at University at Washington and CMU; by Atri Rudra at University at Buffalo, SUNY andby … 57 0 obj Solving the Key Equation) Examples) F-����w�2�fᠼ��J�-����V�c�ݏ3��{@eJT 45 0 obj The Binary Hamming Code) Coding theory then attempts to realize the promise of these bounds by models which are con-structed through mainly algebraic means. endobj (1.7. << /S /GoTo /D (subsection.4.11.0) >> endobj endobj endobj 149 0 obj Combined correction/erasure/detection) << /S /GoTo /D (subsection.4.9.0) >> 116 0 obj 252 0 obj 148 0 obj (6.8. Encoding RS codes) (2.6. 188 0 obj endobj 418 0 obj << (7.6. << /S /GoTo /D (subsection.4.17.0) >> Communication System) 205 0 obj (6.12. Shannon Coding Theorems for the BSC) (2.10. >> endobj 388 0 obj 341 0 obj 196 0 obj 92 0 obj << /S /GoTo /D (subsection.5.9.0) >> endobj 240 0 obj 100 0 obj 0000042007 00000 n
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(1.17. For scribes, here is a … (3.5. endobj Plot of Asymptotic Bounds) Foundations: Probability, Uncertainty, and Information 2. << /S /GoTo /D (subsection.2.1.0) >> endobj The repetition code demonstrates that the coding problem can be solved in principal. Reed-Solomon Codes) 0000000016 00000 n
endobj Minimum Distance and EqColorHTextcolor) << /S /GoTo /D (subsection.7.5.0) >> endobj << /S /GoTo /D (subsection.4.18.0) >> Information theory is the study of achievable bounds for com-munication and is largely probabilistic and analytic in nature. 89 0 obj 61 0 obj 225 0 obj /D [414 0 R /XYZ 39.602 575.281 null] 233 0 obj The Hamming Metric) endobj 9 0 obj endobj 76 0 obj endobj (3.8. (2.9. << /S /GoTo /D (subsection.2.12.0) >> << /S /GoTo /D (subsection.2.8.0) >> (3.7. 157 0 obj << /S /GoTo /D (section.5.0) >> The Gilbert-Varshamov bound) endobj 0000061934 00000 n
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endobj MDS Code Examples) This course is adapted to your level as well as all Python pdf courses to … 313 0 obj endobj 200 0 obj endobj 281 0 obj /Length 253 65 0 obj (5.6. endobj (2. Stay up to date with latest software releases, news, . << /S /GoTo /D (subsection.1.9.0) >> (1.14. (1.16. endobj << /S /GoTo /D (subsection.3.2.0) >> endobj endobj Parity Check Matrix) endobj 197 0 obj 389 0 obj << /S /GoTo /D (subsection.6.12.0) >> It provides a means to transmit information across time and space over noisy and unreliable communication channels. << /S /GoTo /D (subsection.6.13.0) >> Field Characteristic) Coding Theory Lecture Notes Nathan Kaplan and members of the tutorial September 7, 2011 These are the notes for the 2011 Summer Tutorial on Coding Theory. 320 0 obj 0000012326 00000 n
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