Redundant \(\tau \)-adic expansions. II: Non-optimality and chaotic behaviour

DOI10.1007/s11786-009-0014-9zbMath1205.11014OpenAlexW2079248424MaRDI QIDQ626943

Clemens Heuberger

Publication date: 19 February 2011

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-009-0014-9

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Formal languages and automata (68Q45) Cryptography (94A60) Radix representation; digital problems (11A63)

Related Items (5)

Optimality of the width-\(w\) non-adjacent form: general characterisation and the case of imaginary quadratic bases ⋮ Non-minimality of the width-$w$ non-adjacent form in conjunction with trace one $\tau $-adic digit expansions and Koblitz curves in characteristic two ⋮ Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication ⋮ On the distribution of the coefficients of normal forms for Frobenius expansions ⋮ Some properties of \(\tau\)-adic expansions on hyperelliptic Koblitz curves

Cites Work

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• Minimal redundant digit expansions in the Gaussian integers
• Distribution results for low-weight binary representations for pairs of integers
• Redundant \(\tau \)-adic expansions. I: Non-adjacent digit sets and their applications to scalar multiplication
• Scalar multiplication on Koblitz curves using the Frobenius endomorphism and its combination with point halving: extensions and mathematical analysis
• Efficient arithmetic on Koblitz curves
• Analysis of alternative digit sets for nonadjacent representations
• Canonical number systems in imaginary quadratic fields
• A Survey of Fast Exponentiation Methods
• Speeding up the computations on an elliptic curve using addition-subtraction chains
• 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
• Minimal weight and colexicographically minimal integer representations
• Selected Areas in Cryptography
• Continuous Dependence of Solutions of Ordinary Differential Equations
• Topics in Cryptology – CT-RSA 2005
• Minimality and other properties of the width-𝑤 nonadjacent form

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