New code equivalence based on relative generalized Hamming weights
نویسندگان
چکیده
منابع مشابه
New code equivalence based on relative generalized Hamming weights
Code equivalence is a basic concept in coding theory. The well-known theorem by MacWilliams gives a sufficient condition for code equivalence. Recently the MacWilliams theorem has been generalized, by Fan, Liu and Puig, making use of the generalized Hamming weights (GHWs). In this paper, we will present a further generalization of the MacWilliams theorem. Our result extends both the MacWilliams...
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Abstract. Relative generalized Hamming weights (RGHWs) of a linear code respect to a linear subcode determine the security of the linear ramp secret sharing scheme based on the code. They can be used to express the information leakage of the secret when some keepers of shares are corrupted. Cyclic codes are an interesting type of linear codes and have wide applications in communication and stor...
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ژورنال
عنوان ژورنال: Information Sciences
سال: 2011
ISSN: 0020-0255
DOI: 10.1016/j.ins.2011.04.021