The elliptic net algorithm revisited
WebSep 15, 2024 · The Elliptic Net Algorithm Revisited 09/15/2024 ∙ by Shiping Cai, et al. ∙ 0 ∙ share Pairings have been widely used since their introduction to cryptography. They can … Webliptic Net algorithm which can compute pairings in polynomial time, but it requires more storage than Miller’s algorithm. We use several methods to speed up the Elliptic Net …
The elliptic net algorithm revisited
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WebThe Elliptic Net Algorithm Revisited. CoRR abs/2109.07050 (2024) [i28] view. electronic edition @ arxiv.org (open access) references & citations . export record. BibTeX; RIS; ... An Improvment of the Elliptic Net Algorithm. IACR Cryptol. ePrint Arch. 2015: 276 (2015) [i13] view. electronic edition @ iacr.org (open access) WebNov 6, 2015 · In this paper we propose a modified Elliptic Net algorithm to compute pairings. By reducing the number of the intermediate variables which should be updated in …
WebJun 1, 2024 · Elliptic curve cryptography is one of the most efficient public-key cryptosystems compared to the Rivest-Shamir-Addleman scheme. One of the methods to … WebNov 1, 2024 · We provide timing results of the new algorithm and compare it with previous algorithms before concluding in Section 4. 2 Review of Kanayama's elliptic curve scalar …
WebSep 15, 2024 · Pairings have been widely used since their introduction to cryptography. They can be applied to identity-based encryption, tripartite Diffie-Hellman key agreement, … The elliptic net algorithm revisited 1 Introduction. Pairing-based cryptography, as a member of elliptic curve cryptography (ECC), has utilized pairings to... 2 Preliminaries. In this section, we will give the definition of the Tate pairing and the (Optimal) Ate pairing. A brief... 3 Elimination of ... See more Let {\mathbb {F}}_q be a finite field with the characteristic not equal to 2 or 3. Let E:y^2=x^3+Ax+B be a short Weierstrass curve over {\mathbb {F}}_q, where A,B \in {\mathbb {F}}_q and 4A^3+27B^2 \ne 0. We denote the q … See more [35, Chapter IX, Theorem 9] Let E_1/{\mathbb {F}}_q be an elliptic curve. Let r_0 be a prime such that r_0\mid \#E_1({\mathbb {F}}_q). Suppose that the embedding degree … See more [14, Theorem 4] Let \lambda =\alpha r = \sum _{i=0}^{\varphi (k)}c_iq^i with r \not \mid \alpha , where \varphi (k) is the Euler function of k, then we … See more Let E be an elliptic curve over {\mathbb {F}}_q. An elliptic curve E'/{\mathbb {F}}_{q^{k/d}} is a twist of degree d of E if there exists an isomorphism \Psi _d:E'\rightarrow E defined over {\mathbb {F}}_{q^k} and dis … See more
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WebSep 10, 2024 · Results show that the Elliptic Net algorithm can be significantly accelerated especially on the twisted curve. The algorithm can be 80% faster than the previous ones … raytown water district #2WebApr 15, 2024 · This paper proposes an asymmetric image encryption algorithm based on an elliptic curve cryptosystem (ECC). The sender and recipient agree on an elliptic curve point based on Diffie-Hellman public ... simply owners cottagesWebMay 16, 2024 · Elliptic curve multiplications can be improved by replacing the standard ladder algorithm's base 2 representation of the scalar multiplicand, with mixed-base representations with power-of-2 bases, processing the n … simply owners east devonWebThe Elliptic Net Algorithm Revisited Pairings have been widely used since their introduction to cryptography.... 0 Shiping Cai, et al. ∙. share ... raytown water serviceWebOct 26, 2016 · Pairing based cryptography has been an area of intense research recently andElliptic Curve point arithmetic is at the heart of all cryptographic algorithms utilizing Elliptic Curves. Elliptic Curve point arithmetic is at the heart of all cryptographic algorithms utilizing Elliptic Curves. Pairing based cryptography has been an area of intense research … simply owners carvoeiro portugalWebMar 27, 2010 · In this paper, we present a novel method for constructing a super-optimal pairing with great efficiency, which we call the omega pairing. The computation of the omega pairing requires the simple final exponentiation and short loop length in Miller’s algorithm which leads to a significant improvement over the previously known techniques … simply owners grassingtonWebThe Elliptic Net Algorithm Revisited Pairings have been widely used since their introduction to cryptography.... 0 Shiping Cai, et al. ∙. share ... simplyowners enquiries simplyowners.net