The natural analogues of Lee weight and the Gray map over % are introduced. Self-dual codes for the Euclidean scalar product with Lee weights multiple of 4 are called Type II. They produce Type II binary codes by the Gray map. All extended Q-codes of length a multiple of 4 are Type II. This includes
Code loops and even codes over F4
โ Scribed by Masaaki Kitazume
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 414 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The notion of a shadow of a self-dual binary code is generalized to self-dual codes over 9 . A Gleason formula for the symmetrized weight enumerator of the shadow of a Type I code is derived. Congruence properties of the weights follow; this yields constructions of self-dual codes of larger lengths
A central problem in coding theory is that of finding the smallest length for which there exists a linear code of dimension k and minimum distance d, over a field of ~7 elements, We consider here the problem for quaternary codes (q=4), solving the problem for k< 3 for all values of d, and for k=4 fo