Title :
The weight distribution of a class of linear codes from perfect nonlinear functions
Author :
Yuan, Jin ; Carlet, Claude ; Ding, Cunsheng
Author_Institution :
Dept. of Comput. Sci., Hong Kong Univ. of Sci. & Technol., China
Abstract :
In this correspondence, the weight distribution of a class of linear codes based on perfect nonlinear functions (also called planar functions) is determined. The class of linear codes under study are either optimal or among the best codes known, and have nice applications in cryptography.
Keywords :
cryptography; linear codes; nonlinear codes; nonlinear functions; cryptography; difference set; linear code class; perfect nonlinear function; planar function; weight distribution; Computer science; Councils; Cryptography; Error correction codes; Frequency; Linear code; Difference sets; linear codes; perfect nonlinear functions; planar functions; weight distribution;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2005.862125
