Title of article
Optimal linear rate 12 codes over F5 and F7
Author/Authors
T.Aaron Gulliver، نويسنده , , Patric R.J. ostergard، نويسنده , , Nikolai Senkevitch، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
12
From page
59
To page
70
Abstract
In this paper, we classify all optimal linear [n,n/2,d] codes over F5 up to length 12, and show that there are unique optimal [4,2,3] and [6,3,4] codes, up to equivalence. We also classify all optimal linear [n,n/2,d] codes over F7 up to length 8, and present a number of optimal codes of length 10. It is shown that this is the smallest field with two inequivalent [n,n/2] maximum distance separable codes of the same length.
Keywords
Optimal codes , Codes over View the MathML source and View the MathML source
Journal title
Discrete Mathematics
Serial Year
2003
Journal title
Discrete Mathematics
Record number
949085
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