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Start Over Author "Hannusch, Carolin" Journal discrete mathematics, algorithms & applications
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1. CONSTRUCTION OF SELF-DUAL RADICAL 2-CODES OF GIVEN DISTANCE.

Author

HANNUSCH, CAROLIN and LAKATOS, PIROSKA

Subjects
*GROUP codes (Coding theory), *GROUP algebras, *LINEAR codes, *CYCLIC groups, *MATHEMATICAL decomposition
Abstract

We prove that for arbitrary n ∈ ℕ and and for a field K of characteristic 2 there exists an abelian group G of order 2n such that one of the powers of the radical of the group algebra K[G] is a (2n, 2n-1, 2d)-self-dual code. These codes are constructed for abelian groups G with decomposition where a1 ≥ 3 and si ≥ 0(1 ≤ i ≤ 3). [ABSTRACT FROM AUTHOR]

Published
2012
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