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...
متن کاملAutomorphism groups of Grassmann codes
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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An algebraic construction for constant dimension subspace codes is called orbit code. It arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. In particular orbit codes of a Singer subgroup of the general linear group has investigated recently. In this paper, we consider the normalizer of a Singer subgroup of the general linear group a...
متن کاملNew Two-Stage Automorphism Group Decoders for Cyclic Codes in the Erasure Channel
Recently, error correcting codes in the erasure channel have drawn great attention for various applications such as distributed storage systems and wireless sensor networks, but many of their decoding algorithms are not practical because they have higher decoding complexity and longer delay. Thus, the automorphism group decoder (AGD) for cyclic codes in the erasure channel was introduced, which...
متن کاملAutomorphism groups of generalized Reed-Solomon codes
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...
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ژورنال
عنوان ژورنال: Intelligent Information Management
سال: 2012
ISSN: 2160-5912,2160-5920
DOI: 10.4236/iim.2012.425043