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Start Over Author "Dougherty, S. T." Topic additive codes
4 results on '"Dougherty, S. T."'

4. Maximum distance separable codes over $$(\mathbb(Z)_4)$$ and $$(\mathbb(Z)_2 \times \mathbb(Z)_4)$$.

Author

Bilal, M., Borges, J., Dougherty, S. T., and Fernández-Córdoba, C.

Subjects
RINGS of integers, LINEAR algebra, BINARY number system, ABELIAN equations, ABELIAN semigroups, ABELIAN groups, CIPHER & telegraph codes, GRAY codes, POLYNOMIALS
Abstract

Known upper bounds on the minimum distance of codes over rings are applied to the case of $${\mathbb Z_{2}\mathbb Z_{4}}$$-additive codes, that is subgroups of $${\mathbb Z_{2}^{\alpha}\mathbb Z_{4}^{\beta}}$$. Two kinds of maximum distance separable codes are studied. We determine all possible parameters of these codes and characterize the codes in certain cases. The main results are also valid when α = 0, namely for quaternary linear codes. [ABSTRACT FROM AUTHOR]

Published
2011
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