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https://doi.org/10.1006/ffta.1998.0207
| Title: | New Generalized Cyclotomy and Its Applications | Authors: | Ding, C. Helleseth, T. |
Issue Date: | Apr-1998 | Citation: | Ding, C.,Helleseth, T. (1998-04). New Generalized Cyclotomy and Its Applications. Finite Fields and their Applications 4 (2) : 140-166. ScholarBank@NUS Repository. https://doi.org/10.1006/ffta.1998.0207 | Abstract: | In this paper we first introduce a new generalized cyclotomy of order 2 with respect tope 11···p e tt, then we calculate the new cyclotomic numbers of order 2. Some applications of the new cyclotomy in sequences, cryptography, and coding theory are also discussed. In the last section of this paper, we introduce more generalized cyclotomies and point out their applications. The major motivation behind the new generalized cyclotomies is the construction of binary duadic codes. © 1998 Academic Press. | Source Title: | Finite Fields and their Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/99347 | ISSN: | 10715797 | DOI: | 10.1006/ffta.1998.0207 |
| Appears in Collections: | Staff Publications |
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