Vectorial resilient PC(l) of order k Boolean functions from AG-codes

作者：Chen, Hao^*; Ma, Liang; Li, Jianhua

来源：Chinese Annals of Mathematics Series B, 2011, 32(1): 99-104.

DOI：10.1007/s11401-010-0621-4

• Cryptography
• Boolean function
• Algebraic-geometric code

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.

• 出版日期2011-1
• 单位上海交通大学; 上海理工大学; 华东师范大学