An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form

On Some Patterns of Tnaf for Scalar Multiplication Over Koblitz Curve

“…Besides, Figure A1 illustrates this algorithm by applying Maple programming with a computer with an Intel(R) Core (TM) i7 processor, 8 GB RAM and a 64-bit operating system. This result is also an extension of a prior study (Suberi et al, 2016; to scrutinize the property of unsecure keys prior to doing SM on Koblitz Curves. Algorithm 3.1 helps Alice to list down some patterns of unsecure keys and acts as a multiplier of SM before sending a cypher text (𝑸) to Bob.…”

Even And Odd Nature For Pseudo Τ-Adic Non-Adjacent Form

“…Before we proceed to the new cases of 0 + 1 , we rephrase back the seventh properties that have been developed by and Mohd Suberi et al (2016) as follows.…”

“…In Section 2, we give the previous study developed by some earlier researchers. Next, in Section 3, we begin with restating all the seventh properties 0 and 1 involving an even and odd situation that have been proposed by and Mohd Suberi et al (2016). We introduced two properties of such 0 and 1 .…”

“…To estimate this cost more accurately, Ali and Yunos (2016) and Ali et al (2017) suggested the use of total, maximum and minimum norm formulas for TNAF that was occurring among of all elements in Z(τ). Whereas the selection of seven types of 0 + 1 involving even and odd situation for 0 and 1 as described in and Mohd Suberi et al (2016) should be considered. It can influence any attackers to guess an original message.…”

“…; Avanzi et al (2010); Heuberger (2010); Hakuta et al (2010); Karthikeyan et al (2011); Heuberger and Krenn (2011, 2012); Yunos et al (2014); Yunos et al (2015a, 2015b); Yunos and Mohd Atan (2016), MohdSuberi et al (2016Suberi et al ( , 2018;Ali and Yunos (2016) andAli et al (2017).…”