Distribution of some sequences of points on elliptic curves

DOI10.1515/JMC.2007.001zbMath1129.14040MaRDI QIDQ5443559

Tanja Lange, Igor E. Shparlinski

Publication date: 21 February 2008

Published in: Mathematical Cryptology (Search for Journal in Brave)

zbMATH Keywords

elliptic curvescharacter sumspublic key cryptographypseudorandomnessKoblitz curves

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Exponential sums (11T23) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (13)

Exponential sums over points of elliptic curves ⋮ Extractors for Jacobians of Binary Genus-2 Hyperelliptic Curves ⋮ On the distribution of the coefficients of normal forms for Frobenius expansions ⋮ On the elliptic curve endomorphism generator ⋮ Bilinear character sums over elliptic curves ⋮ Numerical convergence study of iterative coupling for coupled flow and geomechanics ⋮ Pseudo-Randomness of Discrete-Log Sequences from Elliptic Curves ⋮ Ree geometries ⋮ Extractors for binary elliptic curves ⋮ On Modular Decomposition of Integers ⋮ EXPONENTIAL SUMS OVER POINTS OF ELLIPTIC CURVES WITH RECIPROCALS OF PRIMES ⋮ Linear complexity of sequences on Koblitz curves of genus 2 ⋮ On Pseudorandom Properties of Certain Sequences of Points on Elliptic Curve

Cites Work

• Fast multiplication on elliptic curves over small fields of characteristic two
• Elliptic curve cryptosystems over small fields of odd characteristic
• Koblitz curve cryptosystems
• Efficient arithmetic on Koblitz curves
• On the linear complexity and multidimensional distribution of congruential generators over elliptic curves
• On Exponential Sums in Finite Fields

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