… In what follows, the calculation of the probability of undetected error for an (n, k; 4) linear
block code is considered. For a given code and a given value of E , we denote this quantity as …

… of a code measures the protection provided the entire message. This paper proves that any
fixed linear block code has an encoding which is optimal with respect to the error protection …

… and we give new constructions of linear error-block codes. We obtain a Gilbert–Varshamov …
linear error-block codes over F2. We also study the asymptotic of linear error-block codes. …

… A bounded-distance decoder for a linear (n, k) block code attempts to correct symbol errors
… surrounding the code words. If the decoder always corrects t or fewer symbol errors, then …

… minimization of the bit-error probability for MLD of linear block codes and other softdecision …
the generator matrix of the code. For block codes, the large error coefficients can justify this …

… In the construction technique we consider, given that it is desired to correct t random errors
per block length n , one first chooses the largest known linear block code V of length n having …

… for binary linear block codes. The basic idea of this approach is to achieve a desired error
performance progressively in a number of stages. For each decoding stage, the error perfor…

… any fixed linear block code, the error rates for the … error rates for all message symbols. The
model used assumes that the distibution of messages is flat and that the distribution of error …

… The stream is split into blocks y of length k, and the codeword for y is x, where x = Ey , for
a suitable matrix E. Of course, we must try to ensure that resulting code has good error-…

… distance of a Hamming code is always d = 3. A linear block code with distance d can
correct up to t errors where t ≤ floor ((d-1)/2). The floor operation rounds down to the nearest …