The elliptic net algorithm revisited
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 … WebSep 15, 2024 · Upload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display).
The elliptic net algorithm revisited
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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 WebNov 4, 2024 · Read the article The elliptic net algorithm revisited on R Discovery, your go-to avenue for effective literature search. Article on The elliptic net algorithm revisited, …
WebThe Elliptic Net Algorithm Revisited Pairings have been widely used since their introduction to cryptography.... 0 Shiping Cai, et al. ∙. share ... WebSep 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. …
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 … WebApr 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 ...
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 …
pnb accredited developerWebSep 15, 2024 · Pairings can be computed using elliptic nets of rank 2.The ENA was used to compute the Tate pairing originally [Stange2007].Then the explicit formulas for computing some variants of the Tate pairing using the ENA were given [Tangchunming2014, CPEN].In 2015, an improved version of the ENA was proposed [Chen2015AnIO].We abbreviate this … pnb adarsh nagar ifsc codeWebSep 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 … pnb 3in one accountWebSep 14, 2024 · Results show that the Elliptic Net algorithm can be significantly accelerated especially on the twisted curve. The algorithmcan be 80% faster than the previous ones … pnb accounts credit returnWebRevisited 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 pnb affiliated merchantsWebNov 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 … pnb ac opening onlineWebOct 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 … pnb accounts