𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Self-dual codes and Hadamard matrices

✍ 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.


πŸ“œ SIMILAR VOLUMES


On the self-dual 5-codes constructed fro
✍ Masaaki Harada πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 71 KB πŸ‘ 1 views

## Abstract There are exactly 60 inequivalent Hadamard matrices of order 24. In this note, we give a classification of the self‐dual 𝔽~5~‐codes of length 48 constructed from the Hadamard matrices of order 24. Β© 2004 Wiley Periodicals, Inc.

Self-dual Goppa codes
✍ Henning Stichtenoth πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 688 KB
Error correcting codes associated with c
✍ I. Heng; C.H. Cooke πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 252 KB

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

Some Hadamard matrices of order 32 and t
✍ Makoto Araya; Masaaki Harada; Hadi Kharaghani πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 70 KB πŸ‘ 1 views

## Abstract It is known that all doubly‐even self‐dual 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 doubly‐even self‐dual [32,16,8] code can be const