搜索结果: 1-15 共查到“irreducible”相关记录46条 . 查询时间(0.081 秒)
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...
A new class of irreducible pentanomials for polynomial based multipliers in binary fields
irreducible pentanomials polynomial multiplication modular reduction
2018/6/5
We give the total cost of the multiplier and found that the bit-parallel multiplier defined by this new class of polynomials has improved XOR and AND complexity. Our multiplier has comparable time del...
"The Irreducible Minimum" An Evaluation of Counterterrorism Operations in Iraq
The Irreducible Minimum Counterterrorism Operations Task Force–714
2019/10/21
With the end of full-scale combat operations in Iraq in late April 2003, no one at the senior level in Washington or Baghdad expected an organized insurgency to materialize—a “war after the war” was u...
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...
Adjacency Graphs, Irreducible Polynomials and Cyclotomy
feedback shift register adjacency graph De Bruijn sequence
2016/4/22
We consider the adjacency graphs of linear feedback shift registers (LFSRs) with reducible characteristic polynomials. Let l(x) be a characteristic polynomial, and l(x)=l_1(x)l_2(x)\cdots l_r(x) be a ...
$GF(2^n)$ Bit-Parallel Squarer Using Generalized Polynomial Basis For a New Class of Irreducible Pentanomials
implementation implementation
2016/1/26
We present explicit formulae and complexities of bit-parallel GF(2n) squarers for a new class of irreducible pentanomials xn+xn−1+xk+x+1, where n is odd and 1rer is bas...
A Chinese Remainder Theorem Approach to Bit-Parallel GF(2^n) Polynomial Basis Multipliers for Irreducible Trinomials
implementation Irreducible Trinomials
2016/1/5
We show that the step “modulo the degree-n field generating irreducible polynomial” in the classical definition of the GF(2^n) multiplication operation can be avoided. This leads to an alternative rep...
Low Space Complexity CRT-based Bit-Parallel GF(2^n) Polynomial Basis Multipliers for Irreducible Trinomials
Finite field multiplication polynomial basis
2015/12/30
By selecting the largest possible value of k∈(n/2,2n/3], we further reduce the AND and XOR gate complexities of the CRT-based hybrid parallel GF(2^n) polynomial basis multipliers for the irreduc...
Comparison Between Irreducible and Separable Goppa Code in McEliece Cryptosystem
McEliece cryptosystem Goppa code separable irreducible
2015/12/21
The McEliece cryptosystem is an asymmetric type of cryptography based on
error correction code. The classical McEliece used irreducible binary Goppa code which
considered unbreakable until now espec...
STRONGLY ESSENTIAL FLOWS ON IRREDUCIBLE PARABOLIC GEOMETRIES
STRONGLY ESSENTIAL FLOWS GEOMETRIES
2015/10/14
We study the local geometry of irreducible parabolic geometries admitting
strongly essential
ows; these are
ows by local automorphisms with higher-order xed
points. We prove several new rigidit...
Tightness for Non-irreducible Markov Chains
Markov chains stochastic stability tightness Lyapunov functions
2015/7/8
In this paper we develop Foster-type criteria guaranteeing tightness for Markov chains which are not necessarily irreducible. The results include criteria for both tightness of the marginal distributi...
This paper lays the foundations for the global theory of irreducible components of rigid analytic spaces over
a complete eld k. We prove the excellence of the local rings on rigid spaces over k. Thi...
The Singular Supports of IC Sheaves on Quasimaps' Spaces are Irreducible
IC bundle Quasimaps space singular
2014/12/29
The Singular Supports of IC Sheaves on Quasimaps' Spaces are Irreducible.
Toeplitz matrix-vector product based GF(2^n) shifted polynomial basis multipliers for all irreducible pentanomials
subquadratic space complexity multiplier shifted polynomial basis
2014/3/11
Besides Karatsuba algorithm, optimal Toeplitz matrix-vector product (TMVP) formulae is another approach to design GF(2^n) subquadratic multipliers. However, when GF(2^n) elements are represented using...
The Mind’s Irreducible Structure
Mind Social Reality Symbolic Process Biological Sociology Social Psychology
2013/2/19
The human mind is one of our most compelling subjects of scientific inquiry—and perhaps our most elusive. Despite impressive biological advances, neuroscience has yet to produce a logical and empirica...