Two new constructions of Cartesian authentication codes from symplectic geometry
type: Item
instance of: scholarly article
title: Two new constructions of Cartesian authentication codes from symplectic geometry
zbMATH Open document ID: 0842.94012
DOI: 10.1007/BF02662876
author: You Gao
author: Zeng Jia Zou
published in: Applied Mathematics. Series B (English Edition)
publication date: 1996-08-05T00:00:00Z
review text: \textit{Z. Wan} [Des. Codes Cryptography 2, 333-356 (1992; Zbl 0764.94022)] used symplectic and unitary geometry over finite fields to construct Cartesian authentication codes and got some beautiful results. In the present paper, two new constructions of Cartesian authentication codes from symplectic geometry are presented and their size parameters are computed. Moreover, assume that the encoding rules are chosen according to a uniform probability distribution, the largest probabilities of a successful impersonation attack and of a successful substitution attack of these codes are also computed.
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 20G40
Mathematics Subject Classification ID: 51A50
zbMATH DE Number: 840336
zbMATH Keywords: symplectic geometry
zbMATH Keywords: unitary geometry
zbMATH Keywords: Cartesian authentication codes
zbMATH Keywords: impersonation attack
zbMATH Keywords: substitution attack
MaRDI profile type: Publication
cites work: Q4698439
cites work: Q4018288
cites work: On the construction of Cartesian authentication codes over symplectic spaces
description: scientific article; zbMATH DE number 840336