Constructions of p-ary quadratic bent functions
文献类型：期刊论文
| 作者 | Li, Shenghua1; Hu, Lei2; Zeng, Xiangyong1 |
| 刊名 | Acta applicandae mathematicae
 |
| 出版日期 | 2008-02-01 |
| 卷号 | 100期号:3页码:227-245 |
| 关键词 | Finite field Bent function Hadamard transform |
| ISSN号 | 0167-8019 |
| DOI | 10.1007/s10440-007-9181-3 |
| 通讯作者 | Li, shenghua(lsh@hubu.edu.cn) |
| 英文摘要 | Bent functions have many applications in the fields of coding theory, communications and cryptography. this paper studies the constructions of bent functions having the form sigma((n-1)/2)(i=1) c(i)tr(1)(n) (x(pi+1)) for odd n and sigma(n/2-1)(i=1) c(i)tr(1)(n)(x(pi+1)) + c(n/2)tr(1)(n/2)(x(pn/2+1)) for even n, over the finite field f-p(n) of odd characteristic p, where c(i) is an element of f-p. based on the irreducibility of some polynomials on f-p, we focus on characterizing the bent functions for n = p(v)q(r) and n = 2p(v)q(r), where v >= 0, r >= 1, q is an odd prime and p a primitive root modulo q(2). moreover, the enumerations of those functions are also considered. |
| WOS关键词 | SEMI-BENT ; SEQUENCES |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| 语种 | 英语 |
| WOS记录号 | WOS:000252473200002 |
| 出版者 | SPRINGER |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2386293 |
| 专题 | 中国科学院大学 |
| 通讯作者 | Li, Shenghua |
| 作者单位 | 1.Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China 2.Chinese Acad Sci, Grad Sch, State Key Lab Informat Secur, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Shenghua,Hu, Lei,Zeng, Xiangyong. Constructions of p-ary quadratic bent functions[J]. Acta applicandae mathematicae,2008,100(3):227-245. |
| APA | Li, Shenghua,Hu, Lei,&Zeng, Xiangyong.(2008).Constructions of p-ary quadratic bent functions.Acta applicandae mathematicae,100(3),227-245. |
| MLA | Li, Shenghua,et al."Constructions of p-ary quadratic bent functions".Acta applicandae mathematicae 100.3(2008):227-245. |
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来源：中国科学院大学
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