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https://scholarbank.nus.edu.sg/handle/10635/38915
| Title: | Duadic sequences of prime lengths | Authors: | Ding, C. Helleseth, T. Lam, K.Y. |
Keywords: | Duadic codes Duadic sequences Legendre sequences Sequences |
Issue Date: | 2000 | Citation: | Ding, C.,Helleseth, T.,Lam, K.Y. (2000). Duadic sequences of prime lengths. Discrete Mathematics 218 (1-3) : 33-49. ScholarBank@NUS Repository. | Abstract: | Legendre sequences have a number of interesting properties. Their counterparts in coding theory are binary quadratic residue codes. In this paper we study a class of binary sequences, called duadic sequences whose counterparts in coding theory are duadic codes. We calculate their linear complexity, study their autocorrelation and crosscorrelation properties, give exact formulas for the number of bigrams in a cycle, investigate their decimation properties, and discuss their implementation. © 2000 Elsevier Science B.V. All rights reserved. | Source Title: | Discrete Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/38915 | ISSN: | 0012365X |
| Appears in Collections: | Staff Publications |
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