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Can we Beat the Square Root Bound for ECDLP over Fp2 via Representations?
ECDLP Square Root Bound
2019/7/15
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 ...
Efficient Square-based Montgomery Multiplier for All Type C.1 Pentanomials
Montgomery multiplication Squaring Bit-parallel
2017/9/1
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...
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 ...
A Star-based Independent Biclique Attack on Full Rounds SQUARE
Block cipher SQUARE Biclique attack Star-based independent biclique
2016/1/27
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...
Square Span Programs with Applications to Succinct NIZK Arguments
Square span program quadratic span program SNARKs
2016/1/7
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...
Statistical Properties of the Square Map Modulo a Power of Two
Square map modulo a power of two Vectorial Boolean function Component Boolean function
2016/1/6
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 ...
Roots of Square: Cryptanalysis of Double-Layer Square and Square+
Multivariate Cryptography Algebraic Cryptanalysis Square Double-Layer Square Square+ MinRank Key Recovery
2012/3/27
Square is a multivariate quadratic encryption scheme proposed in 2009. It is a specialization of Hidden Field Equations by using only odd characteristic fi elds 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 ...
Biclique Cryptanalysis of the Block Cipher SQUARE
secret-key cryptography / Block cipher cryptanalysis biclique differential SQUARE
2012/3/26
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...
The Computational Square-Root Exponent Problem- Revisited
Computational Square-Root Exponent Problem- Revisited Computational Diffie-Hellman Problem
2012/3/28
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 ...
The Computational Square-Root Exponent Problem- Revisited
Diffie-Hellman problem square Diffie-Hellman problem squareroot exponent problem equivalence order
2011/6/9
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...