提出一种新的密钥管理方案KMTP(key management based on ternary polynomial)。基站为每个节点建立唯一性标识,保证节点合法性;基于三元多项式设计簇内和簇间密钥预分配算法,可以保证秘密多项式的破解门限值分别大于簇内节点和分簇总数...提出一种新的密钥管理方案KMTP(key management based on ternary polynomial)。基站为每个节点建立唯一性标识,保证节点合法性;基于三元多项式设计簇内和簇间密钥预分配算法,可以保证秘密多项式的破解门限值分别大于簇内节点和分簇总数,理论上难以破解;通过构造安全连通邻接表,设计簇间多跳路由选择算法,保证通信阶段的安全;引入更新参数和更新认证数,保证密钥更新阶段的安全。仿真表明,相比已有方案,KMTP开销较小,且能够提供更高的安全性。展开更多
Let A(n) be the largest absolute value of any coefficient of n-th cyclotomic polynomial Φn(x).We say Φn(x) is flat if A(n) = 1.In this paper,for odd primes p 【 q 【 r and 2r ≡±1(mod pq),we prove that Φpqr(x)...Let A(n) be the largest absolute value of any coefficient of n-th cyclotomic polynomial Φn(x).We say Φn(x) is flat if A(n) = 1.In this paper,for odd primes p 【 q 【 r and 2r ≡±1(mod pq),we prove that Φpqr(x) is flat if and only if p = 3 and q ≡ 1(mod 3).展开更多
In this paper, we propose and analyze a subdivision scheme which unifies 3-point approximating subdivision schemes of any arity in its compact form and has less support, computational cost and error bounds.? The usefu...In this paper, we propose and analyze a subdivision scheme which unifies 3-point approximating subdivision schemes of any arity in its compact form and has less support, computational cost and error bounds.? The usefulness of the scheme is illustrated by considering different examples along with its comparison with the established subdivision schemes. Moreover, B-splines of degree 4and well known 3-point schemes [1, 2, 3, 4, 6, 11, 12, 14, 15] are special cases of our proposed scheme.展开更多
文摘提出一种新的密钥管理方案KMTP(key management based on ternary polynomial)。基站为每个节点建立唯一性标识,保证节点合法性;基于三元多项式设计簇内和簇间密钥预分配算法,可以保证秘密多项式的破解门限值分别大于簇内节点和分簇总数,理论上难以破解;通过构造安全连通邻接表,设计簇间多跳路由选择算法,保证通信阶段的安全;引入更新参数和更新认证数,保证密钥更新阶段的安全。仿真表明,相比已有方案,KMTP开销较小,且能够提供更高的安全性。
基金supported by National Natural Science Foundation of China (Grant Nos.10971098,10771103)
文摘Let A(n) be the largest absolute value of any coefficient of n-th cyclotomic polynomial Φn(x).We say Φn(x) is flat if A(n) = 1.In this paper,for odd primes p 【 q 【 r and 2r ≡±1(mod pq),we prove that Φpqr(x) is flat if and only if p = 3 and q ≡ 1(mod 3).
文摘In this paper, we propose and analyze a subdivision scheme which unifies 3-point approximating subdivision schemes of any arity in its compact form and has less support, computational cost and error bounds.? The usefulness of the scheme is illustrated by considering different examples along with its comparison with the established subdivision schemes. Moreover, B-splines of degree 4and well known 3-point schemes [1, 2, 3, 4, 6, 11, 12, 14, 15] are special cases of our proposed scheme.
基金Supported by NSFC(No.11801303)Shandong Provincial Natural Science Foundation(No.ZR2019QA016)+1 种基金China Postdoctoral Science Foundation(No.2018M640617)Science and Technology Project of Qufu Normal University(No.xkj201605)
