Faster computation of the tate pairing

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Webthe computation of the Weil and Tate pairings by up to 7.8%. Keywords: elliptic curve cryptosystem, elliptic curve arithmetic, scalar multiplication, ECM, pairing-based cryptosystem. 1 Introduction This paperpresentsan algorithmwhich canspeed scalarmultiplication ona gen-eral elliptic curve, by doing some arithmetic diﬀerently. WebThe Tate pairing on Edwards curves can be computed by using these functions in Miller's algorithm. Computing the sum of two points or the double of a point and the coefficients …

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WebMiller’s algorithm is at the heart of all pairing-based cryptosystems since it is used in the computation of pairing such as that of Weil or Tate and their variants. Most of the optimizations of this algorithm involve elliptic curves of particular forms, or curves with even embedding degree, or having an equation of a special form. WebThe Tate pairing on Edwards curves can be computed by using these functions in Miller’s algorithm. Computing the sum of two points or the double of a point and the … how many chapters does yttd have

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WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): For the Tate pairing implementation over hyperelliptic curves, there is a development by DuursmaLee and Barreto et al., and those computations are focused on degenerate divisors. As divisors are not degenerate form in general, it is necessary to find algorithms on general divisors … WebJan 1, 2010 · We also present a new self-pairing based on the Weil pairing which is faster than the self-pairing based on the Tate pairing on ordinary elliptic curves with … WebDec 2, 2011 · Fast Parallel Computation of Tate Pairing Abstract: In pairing-based cryptography, Miller's algorithm plays a key role in the calculation of pairing. Currently, … high school fashion trends 217

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CiteSeerX — Faster Computation of the Tate Pairing

WebMay 20, 2013 · In 2002, Barreto et al. and Galbraith et al. provided new algorithms for the fast computation of the Tate pairing in characteristic three. In this paper, we give a closed formula for the Tate ... WebApr 6, 2009 · In this work, we demonstrate a novel high-speed architecture for Tate pairing over prime fields, based on the use of Solinas primes, Fast Carry Chains, and DSP … high school fashion trends 2018Webcurves by Granger et al. [12]. Matsuda et al. [21] showed that the Ate pairing is always at least as fast as the Tate pairing by providing the optimized versions of the Ate and the twisted Ate pairing. For fast pairing computation, it is known that the loop length in Miller’s high school fashion trends 2020

"Webreduced Tate pairing since it involves two Miller loops [9]. However, it has been shown that the variant of the Weil pairing is faster than that of the Tate pairing on certain pairing-friendly curves [30]. This results also indicate that the special structure of the Weil pairing is useful for pairing computations. In the following, " - Faster computation of the tate pairing

Faster computation of the tate pairing

A note on computing the Tate pairing with efficiently computable ...

WebThis provides a framework for converting Tate-like pairing computation formulas and operation counts to their ate-like analogues. For BN curves [8], Akane, Nogami, and Morikawa showed in [1] that the ate pairing itself can be computed on the twisted curve. Our result covers more general curves but computes the ate pairing only up to a power ... WebAn Analysis of Affine Coordinates for Pairing Computation, , Pairing 2010, Yamanaka Hot Spring, Ishikawa, Japan, 2010-12-13 ... Video abstract for the paper Faster computation of the Tate pairing with Christophe …

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WebFaster Computation of the Tate Pairing Christophe Arene, Tanja Lange, Michael Naehrig, and Christophe Ritzenthaler Abstract This paper proposes new explicit formulas for the … WebDec 14, 2024 · Aranha DF Karabina K Longa P Gebotys CH López J Paterson KG Faster explicit formulas for computing pairings over ordinary curves Advances in Cryptology – EUROCRYPT 2011 2011 Heidelberg Springer 48 68 10.1007/978-3-642-20465-4_5 Google Scholar; 2. Arène, C., Lange, T., Naehrig, M., Ritzenthaler, C.: Faster computation of …

WebRecently there are lots of studies on the Tate pairing computation with different coordinate systems, such as twisted Edwards curves and Hessian curves coordinate systems. ... T., Naehrig, M., Ritzenthaler, C.: Faster computation of the Tate pairing. Journal of Number Theory 131, 842–857 (2011) CrossRef MathSciNet MATH Google Scholar ... WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): For the Tate pairing computation over hyperelliptic curves, there are developments by DuursmaLee and Barreto et al., and those computations are focused on degenerate divisors. As divisors are not degenerate form in general, it is necessary to find algorithms on general divisors for …

WebSep 1, 2010 · The authors examine faster computation of Tate pairing on elliptic curves by using some efficiently computable endomorphism. Focused on two typical types of elliptic curves with even embedding ... WebAug 26, 2005 · The problem is that the Tate pairing computation is expensive operation, and various methods for faster computation have been proposed. However their actual …

WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This paper proposes new explicit formulas for the doubling and addition step in Miller’s algorithm to compute the Tate pairing. For Edwards curves the formulas come from a new way of seeing the arithmetic. We state the first geometric interpretation of the group law on …

WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This paper proposes new explicit formulas for the doubling and addition steps in Miller’s algorithm to … high school farming programsWebJul 28, 2010 · 0:00 / 3:39 Faster Computation of the Tate Pairing JournalNumberTheory 1.25K subscribers Subscribe Like Share 2.1K views 12 years ago Christophe Arene, *Tanja Lange, Michael … high school fashion trends for guys 2015WebIonica and Joux [23] use a diﬀerent map to a curve of degree 3 and compute the 4-th power of the Tate pairing. The latter poses no problem for usage in protocols as long as all … high school fashion trends for guys 2014