Boldfaced 发表于 2025-3-21 16:11:10

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情感 发表于 2025-3-21 21:17:05

Lattices and the Hidden Number Problemts in both cryptanalysis and design of new cryptosystems. However traditionally only heuristic results have obtained with their help. Here we outline some tools which, combined with other number-theoretic techniques, allow us to give rigorous proofs to some of these results, see also a brief survey

Endoscope 发表于 2025-3-22 04:13:16

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Transfusion 发表于 2025-3-22 07:30:32

Boolean Complexity of the Diffie-Hellman Secret Keyoolean model (and in some situations it is), but there is no proof that this is really the case for our particular situation. Moreover, as a dual question of computing powers in parallel shows in some cases (over finite fields of small characteristic), the Boolean model of computation is exponential

essential-fats 发表于 2025-3-22 11:41:04

Bit Security of the Diffie—Hellman Secret Keyeady mentioned that the proof of Theorem 2 of is not quite correct and it applies only to some special inputs. Using the bounds of exponential sums, namely Lemmas 3.15 and 3.16, allows us to complete the proof and also extend the result to more general settings. Accordingly, the bound of Lemma

发牢骚 发表于 2025-3-22 14:41:02

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发牢骚 发表于 2025-3-22 19:53:34

Shiban Kishen Koul,Richa Bharadwajts in both cryptanalysis and design of new cryptosystems. However traditionally only heuristic results have obtained with their help. Here we outline some tools which, combined with other number-theoretic techniques, allow us to give rigorous proofs to some of these results, see also a brief survey

LAITY 发表于 2025-3-23 00:29:31

Sridhar P. Arjunan,Arockia Vijay Josephol, is based on the still unproved assumption that recovering the value of the Diffie-Hellman secret key . from the known values of g.and g.is essentially equivalent to the discrete logarithm problem and therefore is hard. Here we show that even computation of . from g.cannot be realized by a polyno

单调性 发表于 2025-3-23 04:04:17

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avulsion 发表于 2025-3-23 06:48:35

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查看完整版本: Titlebook: Cryptographic Applications of Analytic Number Theory; Complexity Lower Bou Igor Shparlinski Book 2003 Springer Basel AG 2003 Cryptography.D