Even And Odd Nature For Pseudo Τ-Adic Non-Adjacent Form
نویسندگان
چکیده
منابع مشابه
Efficient Circuitry for Computing τ-adic Non-Adjacent Form
Elliptic curve point multiplication kP on an elliptic curve is required in every elliptic curve cryptosystem. The operation can be significantly accelerated by using a special type of elliptic curves called the Koblitz curves and by representing the integer k in τ -adic nonadjacent form (τNAF). Hardware-friendly modifications of existing τNAF conversion algorithms are presented and an efficient...
متن کاملOn Redundant τ -adic Expansions and Non-Adjacent Digit Sets
This paper studies τ -adic expansions of scalars, which are important in the design of scalar multiplication algorithms on Koblitz Curves, and are less understood than their binary counterparts. At Crypto ’97 Solinas introduced the width-w τ -adic non-adjacent form for use with Koblitz curves. It is an expansion of integers z = P` i=0 ziτ , where τ is a quadratic integer depending on the curve,...
متن کاملRedundant τ-adic expansions I: non-adjacent digit sets and their applications to scalar multiplication
This paper investigates some properties of τ -adic expansions of scalars. Such expansions are widely used in the design of scalar multiplication algorithms on Koblitz Curves, but at the same time they are much less understood than their binary counterparts. Solinas introduced the width-w τ -adic non-adjacent form for use with Koblitz curves. This is an expansion of integers z = Pl i=0 ziτ , whe...
متن کاملRedundant τ-Adic Expansions II: Non-Optimality and Chaotic Behaviour
When computing scalar multiples on Koblitz curves, the Frobenius endomorphism can be used to replace the usual doublings on the curve. This involves digital expansions of the scalar to the complex base τ = (±1± √ −7)/2 instead of binary expansions. As in the binary case, this method can be sped up by enlarging the set of valid digits at the cost of precomputing some points on the curve. In the ...
متن کاملSynchrotron Radiation Studies on Even-Odd and Odd-Even Nylons
Aliphatic polyamides derived from odd diamine or odd dicarboxylic acid units cannot adopt a conventional sheet structure when molecular chains have an all trans conformation. However, typical fiber diffraction patterns of this sheet structure were observed in several polyamides derived from odd units such as nylons 65 and 56. Consequently, a new structure based on the establishment of intermole...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Malaysian Journal of Science
سال: 2018
ISSN: 1394-3065,2600-8688
DOI: 10.22452/mjs.vol37no2.2