Theory and Practice of Error Control Codes |
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40 pages matching Berlekamp-Massey algorithm in this book
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Contents
INTRODUCTION TO ALGEBRA | 16 |
LINEAR BLOCK CODES | 45 |
THE ARITHMETIC OF GALOIS FIELDS | 65 |
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Common terms and phrases
addition algorithm BCH code binary bits block blocklength bound burst called channel chapter choose circuit codeword coefficients columns complexity components compute constraints construct contains convolutional code correct cyclic code decoder defined definition denoted described designed developed divides elements encoder equal equations error error pattern example exist extended field field element Figure finite Fourier transform frame frequencies GF(q given gives Hamming Hence integer inverse iterations known least length less linear majority matrix minimum distance multiplication nonzero obtained occur operation parity parity-check path points polynomial possible prime primitive procedure Proof prove received word Reed-Solomon code requires ring satisfies sequence shift register shown space spectrum Suppose symbols syndrome systematic techniques Theorem values vector weight zero