On Converting Discrete Logarithm Calculation to Long Division

被引:0
作者
Li, Hui [1 ]
Liu, Haoze [1 ]
Yi, Junkai [1 ]
机构
[1] Beijing Univ Chem Technol, Coll Informat Sci & Technol, Beijing, Peoples R China
来源
2016 IEEE INTERNATIONAL CONFERENCE ON RECENT TRENDS IN ELECTRONICS, INFORMATION & COMMUNICATION TECHNOLOGY (RTEICT) | 2016年
关键词
Cyclic number; Group action; Discrete logarithm; Cryptography; Long division;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper we define an abstract group action on the repetend integer which was obtained from the repetend of a certain fraction. The group action can explain the principle of cyclic numbers. Moreover, we propose a new method to calculate discrete logarithm based on this principle. The primary goal of this research is to establish the connection between the discrete logarithm and long division.
引用
收藏
页码:1 / 4
页数:4
相关论文
共 7 条
[1]  
Akyildiz E., J COMPUTATIONAL APPL, V259, P599
[2]   NEW DIRECTIONS IN CRYPTOGRAPHY [J].
DIFFIE, W ;
HELLMAN, ME .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1976, 22 (06) :644-654
[3]  
Joux A., DESIGNS CODES CRYPTO, V78, P73
[4]  
LAMBERT Johann Heinrich, 1769, NOVA ACTA ERUDITORUM, VLXIX, P107
[5]   A THEOREM ON REPEATING DECIMALS [J].
LEAVITT, WG .
AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (06) :669-&
[6]  
Meshram C., INFORM PROCESSING LE, V115, P351
[7]  
Shim KA., IEEE COMMUNICATIONS, V18, P577