• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2017, Volume: 10, Issue: 39, Pages: 1-4

Original Article

An Improved Signed Digit Representation of Integers


This research modifies the GNAF (Generalized NAF), which is one of the signed-digit representations that have been used to speed up point multiplication in pairing-based cryptosystems. The hamming weight of MGNAF (Modified Generalized Non-Adjacent Form), which is proposed in this paper, is less than GNAF for radixes higher than 2 (in cost of a bigger digit set). Moreover, in radix 2 the hamming weight of MGNAF is as low as GNAF and the well-known NAF (Non-Adjacent Form) with the same digit set.

Keywords: Cryptography, Digit Set, Generalized NAF, Hamming Weight, Non-Adjacent Form, Radix-r Representation 


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