Unified Digit Serial Systolic Montgomery Multiplication Architecture for Special Classes of Polynomials over GF(2m)
作者： Somsubhra Talapatra , Hafizur Rahaman , Samir K. Saha
DOI: 10.1109/DSD.2010.59
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摘要: This paper presents an unified digit-serial systolic multiplication architecture for all-one polynomials (AOP) and trinomial over GF (2 m) for efficient implementation of Montgomery …
sci-hub.se 参考文章(15)
Rudolf Lidl, Harald Niederreiter, Introduction to finite fields and their applications The Mathematical Gazette. ,vol. 72, pp. 335- ,(1986) , 10.1017/CBO9781139172769
Darrel Hankerson, Alfred J. Menezes, Scott Vanstone, Guide to Elliptic Curve Cryptography ,(2004)
Peter L. Montgomery, Modular multiplication without trial division Mathematics of Computation. ,vol. 44, pp. 519- 521 ,(1985) , 10.1090/S0025-5718-1985-0777282-X
C.-C. CHEN, C.-Y. LEE, E.-H. LU, Scalable and Systolic Montgomery Multipliers over GF(2m) IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. ,vol. 91, pp. 1763- 1771 ,(2008) , 10.1093/IETFEC/E91-A.7.1763
G. Drolet, A new representation of elements of finite fields GF(2/sup m/) yielding small complexity arithmetic circuits IEEE Transactions on Computers. ,vol. 47, pp. 938- 946 ,(1998) , 10.1109/12.713313
C.-Y. Lee, C.W. Chiou, J.-M. Lin, C.-C. Chang, Scalable and systolic Montgomery multiplier over GF(2 m ) generated by trinomials Iet Circuits Devices & Systems. ,vol. 1, pp. 477- 484 ,(2007) , 10.1049/IET-CDS:20060314
Chiou-Yng Lee, Chin-Chin Chen, Erl-Huei Lu, Compact Bit-Parallel Systolic Montgomery Multiplication Over GF(2m) Generated by Trinomials ieee region 10 conference. pp. 1- 4 ,(2006) , 10.1109/TENCON.2006.343995
Chang Hoon Kim, Chun Pyo Hong, Soonhak Kwon, A digit-serial multiplier for finite field GF(2/sup m/) IEEE Transactions on Very Large Scale Integration Systems. ,vol. 13, pp. 476- 483 ,(2005) , 10.1109/TVLSI.2004.842923
Tae Ho Kim, Sang Chul Kim, Chang Hoon Kim, Chun Pyo Hong, Scalable Montgomery Multiplier for Finite Fields GF(p) and GF(2^m) symposium/workshop on electronic design, test and applications. pp. 458- 461 ,(2008) , 10.1109/DELTA.2008.102