DocumentCode
1114798
Title
Systematic authentication codes from highly nonlinear functions
Author
Ding, Cunsheng ; Niederreiter, Harald
Author_Institution
Dept. of Comput. Sci., Hong Kong Univ. of Sci. & Technol., Kowloon, China
Volume
50
Issue
10
fYear
2004
Firstpage
2421
Lastpage
2428
Abstract
Recently, highly nonlinear functions have been successfully employed to construct authentication codes with and without secrecy. In this paper, we construct four classes of systematic authentication codes from perfect nonlinear functions and almost-perfect nonlinear functions. The systematic authentication codes presented in this paper are either better than existing codes or as good as the best codes known.
Keywords
Galois fields; cryptography; error correction codes; nonlinear codes; nonlinear functions; telecommunication security; Galois field; Kloosterman sum; cryptography; error correcting code; perfect-almost perfect nonlinear function; secrecy; systematic authentication codes; Authentication; Communication channels; Computer science; Councils; Cryptography; Laboratories; Mathematics; State-space methods; Transmitters; Almost perfect nonlinear functions; Kloosterman sums; authentication codes; cryptography; perfect nonlinear functions;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2004.834788
Filename
1337115
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