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Extracting Linearization Equations from Noisy Sources
Multivariate Cryptography HMFEv Q-rank
2018/6/5
This note was originally written under the name ``On the Security of HMFEv'' and was submitted to PQCrypto 2018. The author was informed by the referees of his oversight of an eprint work of the same ...
Non-Full Sbox Linearization: Applications to Collision Attacks on Round-Reduced Keccak
Keccak SHA-3 hash function
2017/6/8
The Keccak hash function is the winner of the SHA-3 competition and became the SHA-3 standard of NIST in 2015. In this paper, we focus on practical collision attacks against round-reduced Keccak hash ...
Linearization of Multi-valued Nonlinear Feedback Shift Registers
Shift register Semi-tensor product state transition matrix
2016/1/3
The Linearization of Nonlinear feedback shift registers (NFSRs) is to find their state transition matrices. In this paper,
we investigate the linearization multi-valued NFSRs by considering it as a l...
Stability and Linearization of Multi-valued Nonlinear Feedback Shift Registers
Nonlinear feedback shift register Semi-tensor product State transition matrix
2016/1/3
In this paper, we study stability and linearization of multivalued
nonlinear feedback shift registers which are considered as logic
networks. First, the linearization of multi-valued nonlinear feedb...
Small Linearization: Memory Friendly Solving of Non-Linear Equations over Finite Fields
MQ problem Algebraic Attacks Equation Solver
2012/6/14
Solving non-linear and in particular Multivariate Quadratic equations over finite fields is an important cryptanalytic problem. Apart from needing exponential time in general, we also need very large ...
Small Linearization: Memory Friendly Solving of Non-Linear Equations over Finite Fields
implementation / MQ problem Algebraic Attacks Equation Solver F5 Buchberger
2012/3/20
Solving non-linear and in particular Multivariate Quadratic equations over finite fields is an important cryptanalytic problem. Apart from needing exponential time in general, we also need very large ...
Small Linearization: Memory Friendly Solving of Non-Linear Equations over Finite Fields
implementation / MQ problem Algebraic Attacks Equation Solver
2012/8/28
Solving non-linear and in particular Multivariate Quadratic equations over finite fields is an important cryptanalytic problem. Apart from needing exponential time in general, we also need very large ...
Linearization Framework for Collision Attacks:Application to CubeHash and MD6
Hash functions collisions differential attack
2009/8/18
In this paper, an improved differential cryptanalysis framework for finding collisions in hash
functions is provided. Its principle is based on linearization of compression functions in order to find...
High Order Linearization Equation (HOLE) Attack on Multivariate Public Key Cryptosystems
multivariate public key cryptosystem quadratic polynomial algebraic cryptanalysis
2008/12/22
In the CT-track of the 2006 RSA conference, a new multivariate
public key cryptosystem, which is called the Medium Field Equation
(MFE) multivariate public key cryptosystem, is proposed by Wang,
Ya...
Linearization Attacks Against Syndrome Based Hashes
FSB Syndrome Based Hashes Provably Secure Hashes Hash Function Cryptanalysis
2008/6/2
In MyCrypt 2005, Augot, Finiasz, and Sendrier proposed FSB, a
family of cryptographic hash functions. The security claim of the FSB hashes
is based on a coding theory problem with hard average-case ...