Self-dual codes and Hadamard matrices
β Scribed by Vladimir D. Tonchev
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 487 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract There are exactly 60 inequivalent Hadamard matrices of order 24. In this note, we give a classification of the selfβdual π½~5~βcodes of length 48 constructed from the Hadamard matrices of order 24. Β© 2004 Wiley Periodicals, Inc.
For primes p > 2, the generalized Hadamaxd matrix H(p, pt) can be expressed as H = x A, where the notation means hij = x a~ . It is shown that the row vectors of A represent a p-ary error correcting code. Depending upon the value of t, either linear or nonlinear codes emerge. Code words are equidist
## Abstract It is known that all doublyβeven selfβdual codes of lengths 8 or 16, and the extended Golay code, can be constructed from some binary Hadamard matrix of orders 8, 16, and 24, respectively. In this note, we demonstrate that every extremal doublyβeven selfβdual [32,16,8] code can be const