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On the Distribution of Diffie--Hellman Triples with Sparse Exponents

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Publication:2706197
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DOI10.1137/S0895480199361740zbMath0973.11100MaRDI QIDQ2706197

Igor E. Shparlinski, John B. Friedlander

Publication date: 19 March 2001

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

exponential sumssparse exponentsDiffie-Hellman cryptosystem


Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Exponential sums (11T23)


Related Items (9)

Distribution of exponential functions with squarefull exponent in residue rings. ⋮ Multiplicative character sums with the sum of \(g\)-ary digits function ⋮ Weyl sums over integers with digital restrictions ⋮ Multiplicative character sums and products of sparse integers in residue classes ⋮ Distribution of exponential functions with \(k\)-full exponent modulo a prime ⋮ On the number of sparse RSA exponents ⋮ Weyl sums over integers with affine digit restrictions ⋮ Character sums with exponential functions over smooth numbers ⋮ On the complexity of the discrete logarithm and Diffie-Hellman problems







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