Optimal Linear Codes Over the Field of Order 7
2020 Algebraic and Combinatorial Coding Theory (ACCT)（2020）
摘要
We construct some new linear codes over the field of order 7 to determine the exact value of the minimum length for which a linear code of dimension four with given minimum weight exists for some open cases. Most of the new codes are constructed as projective duals of some 7-divisible codes from some orbits of a projectivity in the projective space.
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关键词
linear code,divisible code,projective dual
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