Self-dual twisted generalized Reed-Solomon codes
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In this paper, by using some properties for linear algebra methods, the parity-check matrixs for twisted generalized Reed-Solomon codes with any given hook h and twist t are presented, and then a sufficient and necessary condition for that a twisted generalized Reed-Solomon code with dimension h+t (h≥ t) to be self-dual is given. Furthermore, several classes of self-dual codes with small singleton defect are constructed based on twisted generalized Reed-Solomon codes.
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