Consecutive Weierstrass gaps and minimum distance of Goppa codes
نویسندگان
چکیده
منابع مشابه
Consecutive Weierstrass Gaps and Minimum Distance of Goppa Codes
We prove that if there are consecutive gaps at a rational point on a smooth curve defined over a finite field, then one can improve the usual lower bound on the minimum distance of certain algebraic-geometric codes defined using a multiple of the point. A q-ary linear code of length n and dimension k is a vector subspace of dimension k of Fq , where Fq denotes the finite field with q elements. ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1993
ISSN: 0022-4049
DOI: 10.1016/0022-4049(93)90039-v