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IMA Journal of Mathematical Control and Information 2005 22(1):1-11; doi:10.1093/imamci/dni001
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© Institute of Mathematics and its Applications 2005; all rights reserved. For permissions please email: journals.permissions@oupjournals.org

On codes from cyclotomic fields for multidimensional signals

Xue-Dong Dong1, Cheong Boon Soh2 * and Erry Gunawan2

1 Department of Mathematics, Liaoning Normal University, Dalian 116029, People's Republic of China, 2 School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, Singapore 639798, Singapore

This paper derives an algorithm for constructing codes over finite fields of the algebraic integer ring of the cyclotomic field Q(e2{pi}i/n) modulo irreducible elements with the norm p2, where n {3, 4, 5, 7, 8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 21, 24, 25, 27, 28, 32, 33, 35, 36, 40, 44, 45, 48, 60, 84}, where p x n and p is a prime number.

Keywords: algebraic integer ring; cyclotomic field; block code; multidimensional signal space.

Received on 22 April 2003.

* Email: ecbsoh{at}ntu.edu.sg


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