A heuristic approach for designing cyclic group codes
نویسندگان
چکیده
منابع مشابه
A heuristic approach for designing cyclic group codes
In this paper we propose a heuristic technique for distributing points on the surface of a unit n-dimensional Euclidean sphere, generated as the orbit of a finite cyclic subgroup of orthogonal matrices, the so called cyclic group codes. Massive numerical experiments were done and many new cyclic group codes have been obtained in several dimensions at various rate. The obtained results assure th...
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New cyclic group codes oflength 2"1 over (m j)-bit symbols are introduced. These codes can be systematically encoded and decoded algebraically. The code rates are very close to Reed-Solomon (RS) codes and are much better than BoseChaudhuri-Hocquenghem (BCH) codes (a former alternative). The binary (m j)tuples are identified with a subgroup of the binary m-tuples which represent the field GF(2m)...
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Article history: Received 27 August 2012 Revised 26 November 2012 Accepted 14 December 2012 Available online xxxx Communicated by Simeon Ball MSC: 94B15 94B05 05B50
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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...
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ژورنال
عنوان ژورنال: International Transactions in Operational Research
سال: 2015
ISSN: 0969-6016
DOI: 10.1111/itor.12238