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687 results
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Seminar
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Cryptography
PMNS for efficient arithmetic and small memory cost
Speaker : Fangan Yssouf Dosso - Ecole des Mines de Saint-Etienne
The Polynomial Modular Number System (PMNS) is an integer number system which aims to speed up arithmetic operations modulo a prime p. Such a system is defined by a tuple (p, n, g, r, E), where p, n, g and r are positive integers, E is a monic polynomial with integer coefficients, having g as a root modulo p. Most of the work done on PMNS focus on polynomials E such that E(X) = X^n – l, where l is[…] -
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Seminar
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Cryptography
Syndrome Decoding in the Head – Shorter Signatures from Zero-Knowledge proofs
Speaker : Thibauld Feneuil - CryptoExperts et Sorbonne Université
In this talk, I will present a new zero-knowledge proof of knowledge for the syndrome decoding (SD) problem on random linear codes. Instead of using permutations like most of the existing protocols, we rely on the MPC-in-the-head paradigm in which we reduce the task of proving the low Hamming weight of the SD solution to proving some relations between specific polynomials. Specifically, we propose[…] -
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Seminar
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Cryptography
Elliptic curves for SNARKs
Speaker : Youssef El Housni - LIX
At CANS’20, El Housni and Guillevic introduced a new 2-chain of pairing-friendly elliptic curves for recursive zero-knowledge Succinct Non-interactive ARguments of Knowledge (zk-SNARKs) made of the former BLS12-377 curve (a Barreto–Lynn–Scott curve over a 377- bit prime field) and the new BW6-761 curve (a Brezing–Weng curve of embedding degree 6 over a 761-bit prime field). First we generalise the[…] -
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Seminar
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Cryptography
Divisible E-Cash from Constrained Pseudo-Random Functions
Speaker : Olivier Sanders - Orange
Electronic cash (e-cash) is the digital analogue of regular cash which aims at preserving users' privacy. Following Chaum's seminal work, several new features were proposed for e-cash to address the practical issues of the original primitive. Among them, divisibility has proved very useful to enable efficient storage and spendings. Unfortunately, it is also very difficult to achieve and, to date,[…] -
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Seminar
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Cryptography
Post-Quantum Cryptography Hardware: Monolithic Implementations vs. Hardware-Software Co-Design
Speaker : Markku-Juhani Saarinen - PQShield
At PQShield, we've developed dedicated coprocessor(s) for lattice schemes, hash-based signatures, and code-based cryptography. These cryptographic modules are commercial rather than academic and designed to meet customer specifications such as a specific performance profile or Common Criteria and FIPS security certification requirements. Hardware implementations of legacy RSA and Elliptic Curve[…] -
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Seminar
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Cryptography
Constant time implementation of rank based cryptography
Speaker : Nicolas Aragon - IRISA
Since the start of the NIST standardization project for post-quantum cryptography in 2017, rank metric based cryptography is becoming more popular as an alternative to code-based cryptography in the Hamming metric.<br/> While rank based cryptography has always been competitive in terms of keys and ciphertexts sizes, the lack of maturity in the implementations of these cryptosystems made them[…] -