TY - GEN

T1 - A multiplication algorithm with square-free Gauss period normal basis

AU - Nogami, Yasuyuki

AU - Nekado, Kenta

PY - 2012/10/8

Y1 - 2012/10/8

N2 - Recent cryptographic applications such as elliptic curve cryptography and pairing-based cryptography often need arithmetic operations, especially vector multiplications in a certain extension field of large order. Thus, the authors have proposed cyclic vector multiplication algorithm (CVMA) with prime Gauss period normal basis (GNB) for accelerating multiplications in extension field. It is efficient for most cases; however, a few cases were not. In order to reduce the few inefficient cases without loss of the convenience of CVMA, this paper extends the idea to square-free GNB with improving CVMA.

AB - Recent cryptographic applications such as elliptic curve cryptography and pairing-based cryptography often need arithmetic operations, especially vector multiplications in a certain extension field of large order. Thus, the authors have proposed cyclic vector multiplication algorithm (CVMA) with prime Gauss period normal basis (GNB) for accelerating multiplications in extension field. It is efficient for most cases; however, a few cases were not. In order to reduce the few inefficient cases without loss of the convenience of CVMA, this paper extends the idea to square-free GNB with improving CVMA.

UR - http://www.scopus.com/inward/record.url?scp=84867002337&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84867002337&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84867002337

SN - 9788988678671

T3 - Proceedings - 2012 8th International Conference on Computing Technology and Information Management, ICCM 2012

SP - 136

EP - 140

BT - Proceedings - 2012 8th International Conference on Computing Technology and Information Management, ICCM 2012

T2 - 2012 8th International Conference on Computing Technology and Information Management, ICCM 2012

Y2 - 24 April 2012 through 26 April 2012

ER -