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Cartesian authentication codes from functions with optimal nonlinearity

โœ Scribed by Samuel Chanson; Cunsheng Ding; Arto Salomaa

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
173 KB
Volume
290
Category
Article
ISSN
0304-3975

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โœฆ Synopsis

In this paper, we present several classes of authentication codes using functions with perfect nonlinearity and optimum nonlinearity. Some of the authentication codes are optimal. On the other hand, these authentication codes are easy to implement due to their simple algebraic structures.

๐Ÿ“œ SIMILAR VOLUMES

Construction of Cartesian authentication
Construction of Cartesian authentication codes from unitary geometry
โœ Zhe-Xian Wan ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 886 KB

In the present paper several constructions of Cartesian authentication codes from unitary geometry over finite fields are presented and their size parameters are computed. Assuming that the encoding rules are chosen according to a uniform probability distribution, the probabilities Pt and Ps of a su