Linear Block Codes for Four-Dimensional Signals

Authors: Dong X-D.¹; Soh C.B.²; Moreno E.O.

Source: Finite Fields and Their Applications, Volume 5, Number 1, January 1999 , pp. 57-75(19)

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Abstract:

In this paper, linear block codes over finite fields of the algebraic integer ring of the cyclotomic field Q(e^2i/n) modulo irreducible elements are presented, where n=5, 8, or 12. These codes can be used for coding over four-dimensional signal space and can correct one error which takes from the group of all roots of unity in the algebraic integer ring of Q(e^2i/n), where n=5, 8, or 12. Copyright 1999 Academic Press.

Language: English

Document Type: Research article

Affiliations: 1: Department of Mathematics, Liaoning Normal University, Dalian, 116029, P.R. China 2: School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore, 639798, Singapore

Publication date: 1999-01-01