Article

# Optimal self-dual codes over F2×F2 with respect to the Hamming weight

Dept. of Bus. Inf. Sci., Jobu Univ., Gunma, Japan

IEEE Transactions on Information Theory (Impact Factor: 2.62). 03/2004; DOI: 10.1109/TIT.2003.822576 Source: IEEE Xplore

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**ABSTRACT:**In this study, we consider linear and especially cyclic codes over the non-chain ring Zp[v]/⟨vp − v⟩ where p is a prime. This is a generalization of the case p = 3. Further, in this work the structure of constacyclic codes are studied as well. This study takes advantage mainly from a Gray map which preserves the distance between codes over this ring and p-ary codes and moreover this map enlightens the structure of these codes. Furthermore, a MacWilliams type identity is presented together with some illustrative examples.Journal of Algebra Combinatorics Discrete Structures and Applications. 08/2014; 1(1):1-12. -
##### Article: Theta-Cyclic Codes Over F2 + vF2

Australasian Journal of Combinatorics 10/2012; 54:115-126. - [Show abstract] [Hide abstract]

**ABSTRACT:**In this paper we give the structure of the ternary image of self-dual linear block codes and cyclic linear block codes over the semi-local Frobenius ring R3 = F3 + vF3, where v 2 = 1, with respect to an ordered basis. Sufficient conditions for the ternary image of an R3-code to be of Type III or cyclic are presented.Philippine Computing Journal 01/2012; 7(2):33-37.

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