Exponential sums over points of elliptic curves

DOI10.1016/j.jnt.2014.01.016zbMath1312.11065arXiv1302.4210OpenAlexW2964143415MaRDI QIDQ401994

Omran Ahmadi, Igor E. Shparlinski

Publication date: 27 August 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4210

zbMATH Keywords

exponential sumselliptic curvesfinite fields

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Curves over finite and local fields (11G20)

Related Items (2)

On the distribution of pseudorandom vectors generated by elliptic curves ⋮ Pseudorandom vector generation using elliptic curves and applications to Wiener processes

Cites Work

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• Some special character sums over elliptic curves
• Elliptic curve analogue of Legendre sequences
• On the elliptic curve analogue of the sum-product problem
• Double character sums over elliptic curves and finite fields
• The insecurity of the elliptic curve digital signature algorithm with partially known nonces
• Randomness extraction in elliptic curves and secret key derivation at the end of Diffie-Hellman protocol
• Signed bits and fast exponentiation
• Extractors for varieties
• Bilinear character sums over elliptic curves
• A family of elliptic curve pseudorandom binary sequences
• On the Distribution of the Subset Sum Pseudorandom Number Generator on Elliptic Curves
• Construction of pseudorandom binary lattices using elliptic curves
• EXPONENTIAL SUMS OVER POINTS OF ELLIPTIC CURVES WITH RECIPROCALS OF PRIMES
• Bilinear character sums and sum-product problems on elliptic curves
• Constructions of Approximately Mutually Unbiased Bases
• The Arithmetic of Elliptic Curves
• Optimal Randomness Extraction from a Diffie-Hellman Element
• Certain Exponential Sums and Random Walks on Elliptic Curves
• Indifferentiable deterministic hashing to elliptic and hyperelliptic curves
• Pseudorandom Bits From Points on Elliptic Curves
• On sums and products of residues modulo p
• Twisted exponential sums over points of elliptic curves
• Construction of pseudorandom binary sequences over elliptic curves using multiplicative characters
• Distribution of some sequences of points on elliptic curves
• On Exponential Sums in Finite Fields

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