On the distribution of the coefficients of normal forms for Frobenius expansions

DOI10.1007/s10623-010-9439-zzbMath1261.11089OpenAlexW2019552462WikidataQ61914036 ScholiaQ61914036MaRDI QIDQ634134

Steven D. Galbraith, Waldyr Dias jun. Benits, James McKee, Roberto M. Avanzi

Publication date: 2 August 2011

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-010-9439-z

zbMATH Keywords

elliptic curveshyperelliptic curvesFrobenius expansions

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Redundant \(\tau \)-adic expansions. II: Non-optimality and chaotic behaviour
• On \(\tau\)-adic representations of integers
• Hyperelliptic cryptosystems
• Fast multiplication on elliptic curves over small fields of characteristic two
• Elliptic curve cryptosystems over small fields of odd characteristic
• Collisions in fast generation of ideal classes and points on hyperelliptic and elliptic curves
• Koblitz curve cryptosystems
• Efficient arithmetic on Koblitz curves
• An Improvement to the Gaudry-Schost Algorithm for Multidimensional Discrete Logarithm Problems
• Elliptic Curve Cryptosystems
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Minimality of the Hamming Weight of the τ-NAF for Koblitz Curves and Improved Combination with Point Halving
• On Redundant τ-Adic Expansions and Non-adjacent Digit Sets
• Distribution of some sequences of points on elliptic curves
• Koblitz Curves and Integer Equivalents of Frobenius Expansions
• Algorithmic Number Theory

This page was built for publication: On the distribution of the coefficients of normal forms for Frobenius expansions