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A Class Of Algebraic Geometric Codes Generalized Hamming Weight

Posted on:2007-03-27Degree:MasterType:Thesis
Country:ChinaCandidate:T S YanFull Text:PDF
GTID:2190360185961055Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
To obtain the generalized Hamming weights is a basic problem in coding theory, the results of generalized hamming weights of Hermite curve is well-know.It is naturely to generize the Hermite curve since [1,proposition].In this paper,we consider the cases algebraic-geometric codes(geometric Goppa codes) form algebraic curves yq + y = xqt+1 over finite fieldFq2t.Paper [7] gives its 2-th generalized Hamming weights in special condition,we give its 3-th generalized Hamming weights in this paper.
Keywords/Search Tags:algebraic curve, algebraic geometric code, generalized hamming weight
PDF Full Text Request
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