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| Vectorial Resilient PC（l） of Order k Boolean Functions from AG-Codes | |
| 作者姓名： | Hao CHEN Liang MA Jianhua LI |
| 作者单位： | Hao CHEN(Software Engineering Institute, East China Normal University, Shanghai 200062, China);Liang MA(Institute of Systems Science, University of Shanghai for Science and Technology, Shanghai 200093, China);Jianhua LI(Department of Electronic Engineering, Shanghai,Jiaotong University, Shanghai 200030, China) |
| 基金项目： | Project supported by the National Natural Science Foundation of China (No.10871068); the joint grant of the Danish National Research Foundation and the National Natural Science Foundation of China and the Shanghai Leading Academic Discipline Project (No.S30504) |
| 摘 要： | Propagation criteria and resiliency of vectorial Boolean functions are important
for cryptographic purpose (see 1–4, 7, 8, 10, 11, 16]). Kurosawa, Stoh 8] and Carlet 1]
gave a construction of Boolean functions satisfying PC(l) of order k from binary linear
or nonlinear codes. In this paper, the algebraic-geometric codes over GF(2m) are used to
modify the Carlet and Kurosawa-Satoh’s construction for giving vectorial resilient Boolean
functions satisfying PC(l) of order k criterion. This new construction is compared with
previously known results. |
| 关 键 词： | 布尔函数 弹性 k阶 矢量 AG 电脑 传输标准 非线性码 |
Vectorial Resilient PC(l) of Order k Boolean Functions from AG-Codes |
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| Hao CHEN,Liang MA,Jianhua LI.Vectorial Resilient PC(l) of Order k Boolean Functions from AG-Codes[J].Chinese Annals of Mathematics,Series B,2011,32(1):99-104. | |
| Authors: | Hao CHEN Liang MA and Jianhua LI |
| Institution: | 1. Software Engineering Institute, East China Normal University, Shanghai 200062, China 2. Institute of Systems Science, University of Shanghai for Science and Technology, Shanghai 200093, China 3. Department of Electronic Engineering, Shanghai,Jiaotong University, Shanghai 200030, China |
| Abstract: | Propagation criteria and resiliency of vectorial Boolean functions are important for cryptographic purpose (see 1–4, 7, 8, 1, 11, 16]). Kurosawa, Stoh 8] and Carlet 1] gave a construction of Boolean functions satisfying PC(l) of order k from binary linear or nonlinear codes. In this paper, the algebraic-geometric codes over GF(2 m ) are used to modify the Carlet and Kurosawa-Satoh’s construction for giving vectorial resilient Boolean functions satisfying PC(l) of order k criterion. This new construction is compared with previously known results. |
| Keywords: | Cryptography Boolean function Algebraic-geometric code |
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