Linear Block Codes for Four-Dimensional Signals

Authors:
Xue-Dong Dong;Cheong Boon Soh;Erry Gunawan
Affiliations:
Department of Mathematics, Liaoning Normal University, Dalian, 116029, P.R. China;School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore, 639798, Singaporef1cbsoh@auto.eee.ntu.ac.sgf1;School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore, 639798, Singaporef1cbsoh@auto.eee.ntu.ac.sgf1
Venue:
Finite Fields and Their Applications
Year:
1999

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Abstract

In this paper, linear block codes over finite fields of the algebraic integer ring of the cyclotomic fieldQ(e^2^@p^i^/^n) modulo irreducible elements are presented, wheren=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 ofQ(e^2^@p^i^/^n), wheren=5, 8, or 12.