搜索结果: 1-15 共查到“Galois”相关记录74条 . 查询时间(0.375 秒)
绝对不可约Galois表示的Kisin簇的连通性
绝对不可约 Galois表示 Kisin簇 连通性
2023/1/5
We consider the Kisin variety associated to a $n$-dimensional absolutely irreducible mod $p$ Galois representation $\bar\rho$ of a $p$-adic field $K$ and a cocharacter $\mu$. Kisin conjectured that th...
Efficient Information-Theoretic Secure Multiparty Computation over Z/pkZ via Galois Rings
MPC Galois Rings
2019/7/30
At CRYPTO 2018, Cramer et al. introduced a secret-sharing based protocol called SPDZ2kZ2k that allows for secure multiparty computation (MPC) in the dishonest majority setting over the ring of integer...
In this paper we analyze the new AEAD mode called the Multilinear Galois Mode (MGM) originally proposed in CTCrypt 2017. This mode is currently considered in the Russian Standardization system as the ...
4-bit crypto S-boxes: Generation with irreducible polynomials over Galois field GF(24) and cryptanalysis
public-key cryptography EPs
2018/6/13
4-bit crypto S-boxes play a significant role in encryption and decryption of many cipher algorithms from last 4 decades. Generation and cryptanalysis of generated 4-bit crypto S-boxes is one of the ma...
Multiplication and Division over Extended Galois Field GF(pqpq): A new Approach to find Monic Irreducible Polynomials over any Galois Field GF(pqpq).
Galois Field Finite field Irreducible Polynomials (IPs)
2017/6/9
Irreducible Polynomials (IPs) have been of utmost importance in generation of substitution boxes in modern cryptographic ciphers. In this paper an algorithm entitled Composite Algorithm using both mul...
Linear Complexity of Designs based on Coordinate Sequences of LRS and on Digital Sequences of Matrix/Skew LRS Coordinate Sequences over Galois Ring
matrix linear congruent generator skew linear recurrent sequence pseudo-random sequences
2016/12/8
Here we continue investigation of linear complexity properties of different ways to generate
pseudo-random sequences over Galois field wich essentially involves linear recurrences over
Galois ring a...
On the notion of indiscernibility in the light of Galois-Grothendieck Theory
Galois-Grothendieck Indiscernibility Symmetries-Invariants State-Observable Duality
2016/6/12
We analyze the notion of indiscernibility in the light of the Galois theory of field extensions and the generalization to K-algebras proposed by Grothendieck. Grothendieck's reformulation of Galois th...
Low Linear Complexity Estimates for Coordinate Sequences of Linear Recurrences of Maximal Period over Galois Ring
linear recurrent sequence linear complexity/rank estimations pseudo-random sequences
2016/3/1
In this work we provide low rank estimations for coordinate sequences of linear recurrent sequences (LRS) of maximal period (MP) over Galois ring R=GR(pn,r), p≥5, r≥2, with numbers s such that s=kr+2,...
We explore further the hardness of the RLWE problem for various number rings, construct a new family of vulnerable Galois number fields, give improved attacks for certain rings satisfying some additio...
A Maiorana-McFarland Construction of a GBF on Galois ring
Bent Function Galois ring Non Linearity
2016/2/23
Bent functions shows some vital properties among all combinatorial
objects. Its links in combinatorics, cryptography and coding theory attract the
scientific community to construct new class of bent...
Authentication Key Recovery in Galois/Counter Mode (GCM)
Secret-key Cryptography Message Authentication Codes Block Ciphers
2015/12/30
GCM is used in a vast amount of security protocols and is quickly becoming the de facto mode of operation for block ciphers. In this paper we suggest several novel improvements to Fergusons’s authenti...
An Authentication Code over Galois Rings with Optimal Impersonation and Substitution Probabilities
Authentication codes optimality against impersonation substitution attacks
2015/12/29
A new systematic authentication scheme based on the Gray map
over Galois rings is introduced. The Gray map determines an isometry between
the Galois ring and a vector space over a Galois field. The ...
CRITERION OF MAXIMAL PERIOD OF A TRINOMIAL OVER NONTRIVIAL GALOIS RING OF ODD CHARACTERISTIC
Secret-key cryptography Stream ciphers Pseudo-randomness
2015/12/22
In earlier eighties of XX century A.A.Nechaev has obtained the criterion of full period of a Galois polynomial over primary residue ring modulo power of 2. Also he has obtained necessary conditions of...
SECOND COORDINATE SEQUENCE OF MP-LRS OVER NONTRIVIAL GALOIS RING OF ODD CHARACTERISTIC
linear recurrent sequence minimal polynomial rank estimations
2015/12/22
We investigate a well-known way to construct pseudo-random sequences by separation
p-adic coordinate sequences of linear recurrences over Galois ring. Commonly
it is necessary to know rank estimatio...
Exploiting Transformations of the Galois Configuration to Improve Guess-and-Determine Attacks on NFSRs
Guess-and-determine NFSR Sprout
2015/12/21
Guess-and-determine attacks are based on guessing a subset
of internal state bits and subsequently using these guesses together with
the cipher’s output function to determine the value of the remain...