Codes Induced by Alternative Codes

Codes Induced by Alternative Codes

Alternative codes, an extension of the notion of ordinary codes, have been first introduced and considered by Huy and Nam ( 2004 ). As seen below, every alternative code, in its turn, defines an ordinary code. Such codes are called codes induced by alternative codes or alt-induced codes, for short....

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Veröffentlicht in:Acta mathematica vietnamica 2018-06, Vol.43 (2), p.357-371
Hauptverfasser: Hien, Ngo Thi, Van, Do Long
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Codes
Mathematics
Mathematics and Statistics
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description Alternative codes, an extension of the notion of ordinary codes, have been first introduced and considered by Huy and Nam ( 2004 ). As seen below, every alternative code, in its turn, defines an ordinary code. Such codes are called codes induced by alternative codes or alt-induced codes, for short. In this paper, we consider these alt-induced codes and subclasses of them. In particular, characteristic properties of such codes are established, and an algorithm to check whether a finite code is alt-induced or not is proposed.
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subjects Codes
Mathematics
Mathematics and Statistics
title Codes Induced by Alternative Codes
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