Optimal binary linear codes and Z4-linearity
β Scribed by Encheva, S.B.; Jensen, H.E.
- Book ID
- 114540417
- Publisher
- IEEE
- Year
- 1996
- Tongue
- English
- Weight
- 746 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0018-9448
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
If N = 2 k 16 then there exist exactly b(k 1)=2c pairwise nonequivalent Z 4linear Hadamard (N 2N N = 2)-codes and b(k + 1 ) =2c pairwise nonequivalent Z 4linear extended perfect (N 2 N =2N 4)-codes. Recurrent construction of Z 4 -linear Hadamard codes is given.