On the metrical rigidity of binary codes
β Scribed by S.V. Avgustinovich; F.I. Solov'eva
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 449 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A method of investigating the minimum distance of binary cyclic codes of composite blocklength is described; only the case of blocklength 63 is discussed in any detail. Moreover, the usefulness of the method is left as an unanswered question. 'Your proof of Theorem 5.9.2 is the same as the one in M
The asymptotic value as nPR of the number b(n) of inequivalent binary n-codes is determined. It was long known that b(n) also gives the number of nonisomorphic binary n-matroids.
It is shown that for 1 <~j<~n and 1 ~<k ~<2", the jth letter of the kth word of the binary reflected Gray code of length n is equal to the parity of the binomial coefficient 2"-2" ~ iC[2, 2,-~-~-~/21 modulo 2. Also it is shown how this observation and the usual iterative definition of the binary ref
## Abstract In 1996 Rosenthal and York proposed (timeβinvariant) BCH convolutional codes [4] in which the parity check matrix of a BCH code is used in the construction of the convolutional code. The lower bound on the minimum free distance of a BCH convolutional code is guaranteed by the BCH limit.