Dirk Liebhold

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Let K/k be a cyclic Galois extension of degree ℓ and θ a generator of Gal(K/k). For any v = (v 1 ,. .. , v m) ∈ K m such that v is linearly independent over k, and any 1 ≤ d < m the Gabidulin-like code C(v, θ, d) ≤ k ℓ×m is a maximum rank distance code of dimension ℓd over k. This construction unifies the ones available in the literature. We characterise(More)
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