Weight Distributions of Two Classes of Linear Codes from Perfect Nonlinear Functions  

作　　者：DAI Qingping LI Chao 

机构地区：[1]Department of Mathematics and System Sciences, Science College, National University of Defense Technology, Changsha 410073, China [2]National Mobile Communications Research Laboratory, Southeast University, Nanjing 210096, China

出　　处：《Chinese Journal of Electronics》2009年第3期465-470,共6页电子学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China （No.60573028） and the Open Research Fund of National Mobile Communications Research Laboratory of Southeast University （No.w200805）.

摘　　要：The weight distributions of two classes of linear codes from all known perfect nonlinear functions from Fpm to itself are determined, based on the Pless power moments. These results suggest that two open problems proposed by C. Carlet, C. Ding and J. Yuan in 2005 are solved by a new kind of uniform approach.

关 键 词：Linear codes Perfect nonlinear functions Quadratic forms Weight distributions. 

分 类 号：O157.4[理学—数学] TN918.1[理学—基础数学]