Automorphism groups of Gabidulin-like codes
نویسندگان
چکیده
LetK/k be a cyclic Galois extension of degree l and θ a generator of Gal(K/k). For any v = (v1, . . . , vm) ∈ K m such that v is linearly independent over k, and any 1 ≤ d < m the Gabidulin-like code C(v, θ, d) ≤ kl×m is a maximum rank distance code of dimension ld over k. This construction unifies the ones available in the literature. We characterise the K-linear codes that are Gabidulinlike codes and determine their rank-metric automorphism group.
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عنوان ژورنال:
- CoRR
دوره abs/1603.09565 شماره
صفحات -
تاریخ انتشار 2016