Some results on skew hadamard difference sets
文献类型：期刊论文
| 作者 | Weng, Guobiao; Hu, Lei |
| 刊名 | Designs codes and cryptography
 |
| 出版日期 | 2009 |
| 卷号 | 50期号:1页码:93-105 |
| 关键词 | Skew hadamard difference sets Hadamard difference sets Partial difference sets |
| ISSN号 | 0925-1022 |
| DOI | 10.1007/s10623-008-9216-4 |
| 通讯作者 | Weng, guobiao(gbweng@is.ac.cn) |
| 英文摘要 | In this paper, we present two constructions of divisible difference sets based on skew hadamard difference sets. a special class of hadamard difference sets, which can be derived from a skew hadamard difference set and a paley type regular partial difference set respectively in two groups of orders v (1) and v (2) with |v (1) - v (2)| = 2, is contained in these constructions. some result on inequivalence of skew hadamard difference sets is also given in the paper. as a consequence of delsarte's theorem, the dual set of skew hadamard difference set is also a skew hadamard difference set in an abelian group. we show that there are seven pairwisely inequivalent skew hadamard difference sets in the elementary abelian group of order 3(5) or 3(7), and also at least four pairwisely inequivalent skew hadamard difference sets in the elementary abelian group of order 3(9). furthermore, the skew hadamard difference sets deduced by ree-tits slice symplectic spreads are the dual sets of each other when q a parts per thousand currency sign 3(11). |
| WOS关键词 | REGULAR CAYLEY-GRAPHS |
| WOS研究方向 | Computer Science ; Mathematics |
| WOS类目 | Computer Science, Theory & Methods ; Mathematics, Applied |
| 语种 | 英语 |
| WOS记录号 | WOS:000261951700005 |
| 出版者 | SPRINGER |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2398016 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Weng, Guobiao |
| 作者单位 | Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Weng, Guobiao,Hu, Lei. Some results on skew hadamard difference sets[J]. Designs codes and cryptography,2009,50(1):93-105. |
| APA | Weng, Guobiao,&Hu, Lei.(2009).Some results on skew hadamard difference sets.Designs codes and cryptography,50(1),93-105. |
| MLA | Weng, Guobiao,et al."Some results on skew hadamard difference sets".Designs codes and cryptography 50.1(2009):93-105. |
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来源：中国科学院大学
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