Scalar multiplication on Koblitz curves using the Frobenius endomorphism and its combination with point halving: extensions and mathematical analysis
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Publication:866957
DOI10.1007/s00453-006-0105-9zbMath1106.94021OpenAlexW1972505831MaRDI QIDQ866957
Clemens Heuberger, Roberto M. Avanzi, Prodinger, Helmut
Publication date: 14 February 2007
Published in: Algorithmica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00453-006-0105-9
Analysis of algorithms (68W40) Cryptography (94A60) Radix representation; digital problems (11A63) Applications to coding theory and cryptography of arithmetic geometry (14G50)
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Optimality of the width-\(w\) non-adjacent form: general characterisation and the case of imaginary quadratic bases ⋮ Redundant \(\tau \)-adic expansions. II: Non-optimality and chaotic behaviour ⋮ 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 ⋮ Some properties of \(\tau\)-adic expansions on hyperelliptic Koblitz curves ⋮ Another Look at Square Roots (and Other Less Common Operations) in Fields of Even Characteristic ⋮ Variances and covariances in the central limit theorem for the output of a transducer
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