Abstract | ||
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We define an elementary family of lattices, from which we obtain a family of extended cyclic codes with coefficients in the modular integers. The first nontrivial subfamily is the family of quaternary Preparata codes. The family of dual codes coincides with the extended low-correlation sequences introduced by Kumar, Helleseth, and Calderbank (1995) |
Year | DOI | Venue |
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2001 | 10.1109/18.904501 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
quaternary preparata code,dual code,extended low-correlation,extended cyclic code,modular integer,nontrivial subfamily,elementary family,cyclic code,lattices,gaussian processes,indexing terms,linear code,galois fields,hamming distance,mathematics | Discrete mathematics,Hamming code,Preparata code,Combinatorics,Group code,Luby transform code,Block code,Expander code,Reed–Muller code,Linear code,Mathematics | Journal |
Volume | Issue | ISSN |
47 | 1 | 0018-9448 |
Citations | PageRank | References |
2 | 0.60 | 5 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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I. M. Duursma | 1 | 61 | 8.04 |