Type IV codes over a non-local non-unital ring
DOI:
https://doi.org/10.22199/issn.0717-6279-2020-04-0060Keywords:
Non-unital rings, Semi-local rings, Self-orthogonal codes, Type IV codes, Modular latticesAbstract
There is a local ring H of order 4, without identity for the multiplication, defined by generators and relations as
H =〈a, b | 2a = 2b = 0, a2 = 0, b2 = b, ab = ba = 0〉.
We classify self orthogonal codes of length n and size 2n (called here quasi self-dual codes or QSD) up to the length n = 6. In particular, we classify quasi Type IV codes (a subclass of Type IV codes, viz QSD codes with even weights) up to n = 6.
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A. Alahmadi, A. Altassan, W. Basaffar, A. Bonnecaze, H. Shoaib, and P. Solé, “Type IV codes over a non-unital ring”, Journal of algebra and applications, accepted preprint, 2020. [On line]. Available: https://bit.ly/3f5D8ue
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Copyright (c) 2020 Adel Alahmadi, Amani Alkathiry, Alaa Altassan, Widyan Basaffar, Alexis Bonnecaze, Hatoon Shoaib, Patrick Solé
This work is licensed under a Creative Commons Attribution 4.0 International License.
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