On the elliptic curves \(y^{2}=x^{3} - c\) with embedding degree one

DOI10.1016/j.cam.2010.08.020zbMath1241.94027OpenAlexW1701814608MaRDI QIDQ555157

Barış Bülent Kırlar

Publication date: 22 July 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.08.020

zbMATH Keywords

elliptic curvesJacobi sumspairing-based cryptographycharacters of fieldsembedding degree

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Elliptic curves (14H52) Curves over finite and local fields (11G20) Exponential sums (11T23)

Related Items (1)

Elliptic curves withj= 0,1728 and low embedding degree

Cites Work

• A one round protocol for tripartite Diffie-Hellman
• Evidence that XTR is more secure than supersingular elliptic curve cryptosystems
• Separating decision Diffie-Hellman from computational Diffie-Hellman in cryptographic groups
• A taxonomy of pairing-friendly elliptic curves
• On the Conjecture of Hardy & Littlewood concerning the Number of Primes of the Form n 2 + a
• A Heuristic Asymptotic Formula Concerning the Distribution of Prime Numbers
• Cryptography and Coding
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