Cnstructions of authentication codes from algebraic curves over finite fields

Chaoping Xing; Huaxiong Wang; Kwok Yan Lam; C. P. Xing

doi:10.1109/18.841168

Cnstructions of authentication codes from algebraic curves over finite fields

Chaoping Xing^*, Huaxiong Wang, Kwok Yan Lam, C. P. Xing

^*Corresponding author for this work

School of Computing

Research output: Contribution to journal › Article › peer-review

20 Citations (Scopus)

Abstract

We present a new application of algebraic curves over finite fields to the constructions of universal hash families and unconditionally secure codes. We show that the constructions derived from the Garcia-Stichtenoth curves yield new classes of authentication codes and universal hash families which are substantially better than those previously known.

Original language	English
Pages (from-to)	886-892
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	46
Issue number	3
DOIs	https://doi.org/10.1109/18.841168
Publication status	Published - 2000

Keywords

Algebraic curve
Authentication code
Strongly universal hash family
Universal hash family

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10.1109/18.841168

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title = "Cnstructions of authentication codes from algebraic curves over finite fields",

abstract = "We present a new application of algebraic curves over finite fields to the constructions of universal hash families and unconditionally secure codes. We show that the constructions derived from the Garcia-Stichtenoth curves yield new classes of authentication codes and universal hash families which are substantially better than those previously known.",

keywords = "Algebraic curve, Authentication code, Strongly universal hash family, Universal hash family",

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AU - Lam, Kwok Yan

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AB - We present a new application of algebraic curves over finite fields to the constructions of universal hash families and unconditionally secure codes. We show that the constructions derived from the Garcia-Stichtenoth curves yield new classes of authentication codes and universal hash families which are substantially better than those previously known.

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KW - Strongly universal hash family

KW - Universal hash family

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Cnstructions of authentication codes from algebraic curves over finite fields

Abstract

Keywords

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