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- W2012102311 abstract "Let be the set of all subspaces of . The following three groups act on : (i) the symmetric group on the coordinate positions of ; (ii) the group of monomial transformations of ; (iii) the group of semi-linear monomial transformations of . The orbits of under these actions are the equivalence classes of linear codes in under three notions of equivalence: permutation equivalence, monomial equivalence and equivalence. Let , , N n,q Γ denote the numbers of the orbits under the three actions on respectively. It was recently proved that as n → ∞, and . In this article, we show that , where q = pr and p is a prime." @default.
- W2012102311 created "2016-06-24" @default.
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- W2012102311 date "2009-03-01" @default.
- W2012102311 modified "2023-10-16" @default.
- W2012102311 title "Asymptotic numbers of non-equivalent codes in three notions of equivalence" @default.
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- W2012102311 doi "https://doi.org/10.1080/03081080701539023" @default.
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