Results 11 to 20 of about 196 (92)
Using Inclusion / Exclusion to find Bent and Balanced Monomial Rotation Symmetric Functions
Journal of Mathematical Cryptology, 2021 There are many cryptographic applications of Boolean functions. Recently, research has been done on monomial rotation symmetric (MRS) functions which have useful cryptographic properties.
Reid Elizabeth M.
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On a class of strongly asymmetric PKA algorithms
Journal of Mathematical Cryptology, 2015 In the papers [New features for public key exchange algorithms, in: 18-th International ICWG Meeting (Krakow 2011)], [Strongly asymmetric PKD cryptographic algorithms: An implementation using the matrix model, in: Proceedings ISEC Conference (Shizuoka ...
Accardi Luigi, Regoli Massimo
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Quantum algorithms for computing general discrete logarithms and orders with tradeoffs
Journal of Mathematical Cryptology, 2021 We generalize our earlier works on computing short discrete logarithms with tradeoffs, and bridge them with Seifert's work on computing orders with tradeoffs, and with Shor's groundbreaking works on computing orders and general discrete logarithms.
Ekerå Martin
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Indifferentiability security of the fast wide pipe hash: Breaking the birthday barrier
Journal of Mathematical Cryptology, 2016 A hash function secure in the indifferentiability framework (TCC 2004) is able to resist all meaningful generic attacks. Such hash functions also play a crucial role in establishing the security of protocols that use them as random functions.
Moody Dustin +2 more
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Analysis of a certain polycyclic-group-based cryptosystem
Journal of Mathematical Cryptology, 2015 We investigate security properties of the Anshel–Anshel–Goldfeld commutator key-establishment protocol [Math. Res. Lett. 6 (1999), 287–291] used with certain polycyclic groups described by Eick and Kahrobaei [http://arxiv.org/abs/math.GR/0411077].
Kotov Matvei, Ushakov Alexander
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Compression for trace zero points on twisted Edwards curves
Journal of Mathematical Cryptology, 2016 We propose two optimal representations for the elements of trace zero subgroups of twisted Edwards curves. For both representations, we provide efficient compression and decompression algorithms.
Bianco Giulia, Gorla Elisa
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Tame logarithmic signatures of abelian groups
Journal of Mathematical Cryptology, 2017 The security of the asymmetric cryptosystem MST1{{}_{1}} relies on the hardness of factoring group elements with respect to a logarithmic signature. In this paper we investigate the factorization problem with respect to logarithmic signatures of abelian ...
Reichl Dominik
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Journal of Mathematical Cryptology, 2018 Composite order pairing setting has been used to achieve cryptographic functionalities beyond what is attainable in prime order groups. However, such pairings are known to be significantly slower than their prime order counterparts.
Chatterjee Sanjit +2 more
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A trade-off between classical and quantum circuit size for an attack against CSIDH
Journal of Mathematical Cryptology, 2020 We propose a heuristic algorithm to solve the underlying hard problem of the CSIDH cryptosystem (and other isogeny-based cryptosystems using elliptic curves with endomorphism ring isomorphic to an imaginary quadratic order 𝒪).
Biasse Jean-François +4 more
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On the security of the Courtois-Finiasz-Sendrier signature
Open Mathematics, 2018 We prove that a variant of the Courtois-Finiasz-Sendrier signature is strongly existentially unforgeable under chosen message attack in the random oracle model, assuming hardness of the Permuted Goppa Syndrome Decoding Problem (also known as the ...
Morozov Kirill +3 more
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