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 … 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
The elliptic net algorithm revisited
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WebMar 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 … WebThe Elliptic Net Algorithm Revisited Pairings have been widely used since their introduction to cryptography.... 0 Shiping Cai, et al. ∙. share ...
WebMay 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 … 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 …
WebRevisited and a Short Note on Doubling in Twisted Edwards Form, 13th International Conference on Security and Cryptography (Lisbon, Portugal), Proceedings of SECRYPT 2016, pages 336-343 and 5. Srinivasa Rao Subramanya Rao, An improved EllipticNet Algorithm for ... 6.2 Stange’s Elliptic Net Algorithm to compute the Tate Pairing102 WebPairings have been widely used since their introduction to cryptography. They can be applied to identity-based encryption, tripartite Diffie-Hellman key agreement, blockchain and other cryptographic schemes. The Acceleration of pairing computations is crucial for these cryptographic schemes or protocols. In this paper, we will focus on the Elliptic Net …
Webpaper, we utilize several tricks to speed up the Elliptic Net algorithm. Firstly, we eliminate the inversion in the improved Elliptic Net algorithm, which allows for further improvements …
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 … cabbyl ushteyWebThe 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) cabby kristinehamnWebintermediate variables which should be updated in the iteration loop of the Elliptic Net algorithm, we speed up the computation of pairings. Experimental results show that the … clover valley homes for rentWebSep 15, 2024 · The Elliptic Net algorithm, which can compute pairings in polynomial time, but it requires more storage than Miller’s algorithm, is focused on, and it is shown that the … clover valley donut shop coffee reviewWebSep 15, 2024 · The Elliptic Net Algorithm Revisited. Shiping Cai, Zhi Hu, Zheng-An Yao, Chang-An Zhao. Pairings have been widely used since their introduction to cryptography. They can be applied to identity-based encryption, tripartite Diffie-Hellman key agreement, blockchain and other cryptographic schemes. The Acceleration of pairing computations is … cabby gregWebNov 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 … cabby landscapeWebThe Elliptic Net Algorithm Revisited - NASA/ADS Pairings have been widely used since their introduction to cryptography. They can be applied to identity-based encryption, tripartite … cabby manual