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• W2994132020 abstract "In this paper we introduce a new class of extremal codes, namely the $i$-BMD codes. We show that for this family several of the invariants are determined by the parameters of the underlying code. We refine and extend the notion of an $i$-MRD code and show that the $i$-BMD codes form a proper subclass of the $i$-MRD codes. Using the class of $i$-BMD codes we then obtain a relation between the generalized rank weight enumerator and its corresponding generalized zeta function. We also establish a MacWilliams identity for generalized rank weight distributions." @default.
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• W2994132020 date "2019-12-04" @default.
• W2994132020 modified "2023-09-27" @default.
• W2994132020 title "Rank-Metric Codes, Generalized Binomial Moments and their Zeta Functions" @default.
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