摘要：We construct trace codes over Z4 based on Boolean functions and their support. The Lee weight distribution of these codes is studied by using the Walsh-Hadamard transform of the Boolean functions, and exponential character sums. We obtain few weights codes. In particular, bent and semi-bent functions give three-weight codes.
报告人：Patrick Solé 教授
报告人简介：Patrick Solé 教授目前在法国巴黎第8大学工作，他是国际著名的代数编码与密码顶级专家。研究领域包括代数组合、代数图论、代数编码、离散数学、格的构造、模形式等等。目前已在国际著名期刊《IEEE Transaction on Information Theory》, 《Finite Fields and Their Applications》, 《Journal of Algebra》, 《Journal of Combinatorial Theory Series B》, 《Bulletin of the American Mathematical Society》 等发表170余篇专业学术论文，在国际学术会议上发表论文70余篇，出版英文专著3本。1995年Patrick Solé与其合作者获得信息论方面的最佳论文奖, 该论文[R. Hammons, P. V. Kumar, A. R. Calderbank, N. J. A Sloane, P. Solé, The -linearity of Kerdock, Preparata, Goethals, and related codes, IEEE Trans. Inform. Theory, 1994, 40(2): 301-319.]已经被引用了1300余次，这篇论文开辟了有限环上的代数编码理论的先河。Patrick Solé 教授曾担任国际著名期刊《IEEE Transaction Information Theory》等著名杂志的副主编，目前是多个SCI期刊的副主编。
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