On codes from cyclotomic fields for multidimensional signals |
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| Authors: | Dong, Xue-Dong Soh, Cheong Boon Gunawan, Erry |
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| Affiliation: | 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 |
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| Abstract: | This paper derives an algorithm for constructing codes overfinite fields of the algebraic integer ring of the cyclotomicfield Q(e2 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. |
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| Keywords: | algebraic integer ring cyclotomic field block code multidimensional signal space. |
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