Characterization and constructions of self-dual codes over $\mathbb Z_2\times \mathbb Z

Characterization and constructions of self-dual codes over $\mathbb Z_2\times \mathbb Z_4$

Published:2012 Issue:3 Volume:6 Page:287-303
ISSN:1930-5338
Container-title:Advances in Mathematics of Communications
language:en
Short-container-title:

Author:

Borges Joaquim, ,T. Dougherty Steven,Fernández-Córdoba Cristina,

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory,Applied Mathematics,Discrete Mathematics and Combinatorics,Computer Networks and Communications,Algebra and Number Theory

Reference19 articles.

1. On extremal additive $\mathbb F_4$ codes of length $10$ to $18$,;C. Bachoc;J. Théorie Nombres Bordeaux,2000

2. "Introduction to Coding Theory,'';J. Bierbrauer;Chapman & Hall/CRC,2005

3. Small additive quaternary codes,;A. Blokhuis;European J. Combin.,2004

4. On $\mathbb Z_2\mathbb Z_4$-linear codes and duality,;J. Borges;in,2006

5. $\mathbb Z_2\mathbb Z_4$-linear codes: generator matrices and duality,;J. Borges;Des. Codes Crypt.,2010

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