TWO　NEW　CONSTRUCTIONS　OF　CARTESIAN　AUTHENTICATION　CODES　FROM　SYMPLECTIC　GEOMETRY 被引量：4

TWO NEW CONSTRUCTIONS OF CARTESIAN AUTHENTICATION CODES FROM SYMPLECTIC GEOMETRY

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摘要 In this paper, two new constructions of Cartesian authentication codes from symplectic geometry are presented and their size parameters are computed. In this paper, two new constructions of Cartesian authentication codes from symplectic geometry are presented and their size parameters are computed.

作者 GAO YOU AND ZOU ZENGJIA (Department of Basic Science, Northeast Institute of Electric Power, Jinn 132012).

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1995年第3期345-356,共12页 高校应用数学学报（英文版）（B辑）

关键词 Cartesian authentication code construction symplectic geometry Cartesian authentication code, construction, symplectic geometry

分类号 O157.4 [理学—基础数学]

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1裴定一,王学理.基于有限域圆锥曲线的加密认证码[J].中国科学（E辑）,1996,26(5):385-394. 被引量：5
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3陈尚弟,王新更.带仲裁的认证码的一个新构造[J].高校应用数学学报（A辑）,2011,26(2):230-238. 被引量：1
4陈尚弟,赵大伟.利用有限域上酉几何构作带仲裁的认证码[J].数学的实践与认识,2012,42(19):101-106. 被引量：1
5马文平,王新梅.基于酉几何的等概的具有仲裁的认证码的构造[J].应用数学学报,2001,24(2):271-276. 被引量：9
6杜庆灵,张利民.多接收多重认证码的有关边界和构造[J].电子与信息学报,2002,24(8):1109-1112. 被引量：2

引证文献4

1余江明,李志慧.利用伪辛几何构造新的带仲裁的认证码[J].西北大学学报（自然科学版）,2005,35(1):7-10. 被引量：1
2Shang-di CHEN,Da-wei ZHAO.Two Constructions of Optimal Cartesian Authentication Codes from Unitary Geometry over Finite Fields[J].Acta Mathematicae Applicatae Sinica,2013,29(4):829-836. 被引量：3
3郑业龙,李瑞虎.利用辛几何构作两类Cartesian认证码[J].工科数学,2001,17(1):38-41.
4陈尚弟,李雪.基于有限域上的辛几何构造带仲裁的多接收认证码[J].应用数学学报,2018,41(3):315-336.

二级引证文献4

1李益群,刘三阳,王雷.F_4上的3维最优自正交码[J].西北大学学报（自然科学版）,2006,36(6):871-874. 被引量：3
2Shang-di CHEN,Hao MA.Construction of Authentication Codes with Double Arbiters over Symplectic Geometry[J].Acta Mathematicae Applicatae Sinica,2015,31(4):1141-1152.
3Chen Shangdi,Tian Wenjing,Li Xue.Construction of authentication codes with distrust arbitration from polynomials over finite fields[J].The Journal of China Universities of Posts and Telecommunications,2017,24(1):87-95.
4陈尚弟,梁俊英.基于有限域上的射影空间构造完善的A^3码[J].中国民航大学学报,2018,36(2):59-64.

1李香丽,段生贵,彭建萍.有限域上酉几何中一类Cartesian认证码的构作[J].河北师范大学学报（自然科学版）,2004,28(3):237-240.
2赵辉芳,秦德生.Using Normal Form of Nilpotent Matrices over Finite Fields to Construct Cartesian Authentication Codes[J].Northeastern Mathematical Journal,2004,20(4):415-423. 被引量：5
3王万义.Complex J-Symplectic Geometry WithApplication to Ordinary Differential Operators[J].数学进展,2001,30(3):277-278. 被引量：6
4张小钢,宋峥嵘,李金来,黄太安,沈大为.材料编码映射辅助系统研究[J].中国勘察设计,2015(6):81-84. 被引量：1
5陈景波.Multisymplectic Geometry and Its Appiications for the Schrodinger Equation in Quantum Mechanics[J].Chinese Physics Letters,2007,24(2):370-373. 被引量：1
6Shang-di CHEN,Da-wei ZHAO.Two Constructions of Optimal Cartesian Authentication Codes from Unitary Geometry over Finite Fields[J].Acta Mathematicae Applicatae Sinica,2013,29(4):829-836. 被引量：3
7陈殿友,付治国,韩燕.A Construction Method of Cartesian Authentication Codes from B N Pair Decomposition of SL_n(F_q)[J].Northeastern Mathematical Journal,2007,23(6):523-531.
8Shang-di CHEN,Hao MA.Construction of Authentication Codes with Double Arbiters over Symplectic Geometry[J].Acta Mathematicae Applicatae Sinica,2015,31(4):1141-1152.
9FENG Rong quan (School of Mathematical Sciences, Peking University, Beijing 100871, China).EXISTENCE OF AUTHENTICATION CODES[J].Systems Science and Mathematical Sciences,2000,13(1):108-112. 被引量：3
10HU JianXun,RUAN YongBin.Positive divisors in symplectic geometry[J].Science China Mathematics,2013,56(6):1129-1144. 被引量：1

Applied Mathematics(A Journal of Chinese Universities)

1995年第3期

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TWO　NEW　CONSTRUCTIONS　OF　CARTESIAN　AUTHENTICATION　CODES　FROM　SYMPLECTIC　GEOMETRY 被引量：4

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TWO NEW CONSTRUCTIONS OF CARTESIAN AUTHENTICATION CODES FROM SYMPLECTIC GEOMETRY 被引量：4

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TWO　NEW　CONSTRUCTIONS　OF　CARTESIAN　AUTHENTICATION　CODES　FROM　SYMPLECTIC　GEOMETRY 被引量：4