منابع مشابه
Automorphism groups of GRS codes
We look at AG codes associated to P1, re-examining the problem of determining their automorphism groups (originally investigated by Dür in 1987 using combinatorial techniques) using recent methods from algebraic geometry. We classify those finite groups that can arise as the automorphism group of an AG code and give an explicit description of how these groups appear. We give examples of general...
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Article history: Received 9 May 2012 Revised 17 February 2013 Accepted 30 April 2013 Available online 14 May 2013 Communicated by Xiang-dong Hou MSC: 14M15 20B25 94B05 94B27
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We look at AG codes associated to P, re-examining the problem of determining their automorphism groups (originally investigated by Dür in 1987 using combinatorial techniques) using recent methods from algebraic geometry. We classify those finite groups that can arise as the automorphism group of an AG code and give an explicit description of how these groups appear. We give examples of generali...
متن کاملAutomorphism groups of Gabidulin-like codes
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 c...
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Diese Dissertation ist auf den Internetseiten der Hochschulbibliothek online verfügbar.
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2009
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-009-0179-y