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We give a 4-list algorithm for solving the Elliptic Curve Discrete Logarithm (ECDLP) over some quadratic field Fp2Fp2. Using the representation technique, we reduce ECDLP to a multivariate polynomial ...
In this paper, we present a low complexity bit-parallel Montgomery multiplier for GF(2m)GF(2m) generated with a special class of irreducible pentanomials xm+xm−1+xk+x+1xm+xm−1+xk+x+1. Base...
We introduce a new type of Montgomery-like square root formulae in GF(2m)GF(2m) defined by an arbitrary irreducible trinomial, which is more efficient compared with classic square root operation. By c...
Square Attack on 7-Round Kiasu-BC     Cryptanalysis  TWEAKEY  Kiasu       2016/3/28
Kiasu-BC is a tweakable block cipher presented within the TWEAKEY framework at AsiaCrypt 2014. Kiasu-BC is almost identical to AES-128, the only difference to AES-128 is the tweak addition, where the ...
SQUARE is an iterated block cipher proposed by Daemen et.al. in FSE1997. Inspired by Bogdanov et.al.’s recent works [12], we first present an improved biclique attack, i.e. stat-based independent bi...
We propose a new characterization of NP using square span programs (SSPs). We first characterize NP as affine map constraints on small vectors. We then relate this characterization to SSPs, which a...
The square map is one of the functions that is used in cryptography. For instance, the square map is used in Rabin encryption scheme, block cipher RC6 and stream cipher Rabbit, in different forms. In ...
Given a network of n = 2^k gossipers, we want to schedule a cyclic calendar of meetings between all of them, such that: (1) each gossiper communicates (gossips) only once a day, with one other gossipe...
We present a square root algorithm in F_q which generalizes Atkins's square root algorithm for q=5(mod 8) and Kong et al.'s algorithm for q=9(mod 16) Our algorithm precomputes a primitive 2^s-th root ...
Square is a multivariate quadratic encryption scheme proposed in 2009. It is a specialization of Hidden Field Equations by using only odd characteristic fields and also X^2 as its central map. In add...
In this paper, we prove that the degree of regularity of the family of Square systems, an HFE type of systems, over a prime finite field of odd characteristics $q$ is exactly $q$, and therefore prove ...
SQUARE, an 8-round substitution-permutation block cipher, is considered as the predecessor of the AES. In this paper, inspired from the recent biclique attack on the AES by Bogdanov et al., we present...
n this paper, we revisit the Computational Square-Root Exponent Problem (CSREP), and give a more generic condition such that CSREP is polynomial-time equivalent to the Computational Diffie-Hellman Pro...
In this paper, we prove that the degree of regularity of the family of Square systems, an HFE type of systems, over a prime finite field of odd characteristics $q$ is exactly $q$, and therefore prove ...
In this paper, we revisit the Computational Square-Root Exponent Problem (CSREP), and give a more generic condition such that CSREP is polynomial-time equivalent to the Computational Diffie-Hellman Pr...

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