An Algebraic Method for Decoding q-ary Codes via Submodules of Z^n

In this paper, by using a relation between binomial ideal and submodules of Z n in , a submodule associated with the integer programming (IP) problem is defined. By computing the reduced Gröbner basis (RGB) of the submodule, the decoding problem of non-binary q-ary codes is considered as an integer...

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Veröffentlicht in:	IEEE communications letters 2014-05, Vol.18 (5), p.857-860
Hauptverfasser:	Aliasgari, Malihe, Sadeghi, Mohammad-Reza
Format:	Artikel
Sprache:	eng
Schlagworte:	Complexity theory Grobner basis group code integer programming IP networks Manganese Maximum likelihood decoding Vectors Z-module Zinc
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