1. Type IV codes over a non-local non-unital ring.
- Author
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Alahmadi, Adel, Alkathiry, Amani, Altassan, Alaa, Basaffar, Widyan, Bonnecaze, Alexis, Shoaib, Hatoon, and Sold, Patrick
- Subjects
- *
ORTHOGONAL codes , *LOCAL rings (Algebra) , *CIPHERS - Abstract
There is a local ring H of order 4, without identity for the multiplication, defined by generators and relations as H =(a, b I 2a = 2b = 0, a2 = 0, b2 = b, ab = ba = 0). We classify self orthogonal codes of length n and size 2„ (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. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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