搜索结果: 1-10 共查到“军事学 Isomorphism”相关记录10条 . 查询时间(0.04 秒)
A signature scheme from the finite field isomorphism problem
Digital signatures finite field isomorphism problem lattice-based signature
2018/7/16
In a recent paper the authors and their collaborators proposed a new hard problem, called the finite field isomorphism problem, and they used it to construct a fully homomorphic encryption scheme. In ...
Fully Homomorphic Encryption from the Finite Field Isomorphism Problem
Finite field isomorphism fully homomorphic encryption lattice-based cyrptopgraphy
2017/6/9
If qq is a prime and nn is a positive integer then any two finite fields of order qnqn are isomorphic. Elements of these fields can be thought of as polynomials with coefficients chosen modulo qq, and...
New Insight into the Isomorphism of Polynomials problem IP1S and its Use in Cryptography
secret-key cryptography
2014/3/5
This paper investigates the mathematical structure of the ``Isomorphism of Polynomial with One Secret'' problem (IP1S). Our purpose is to understand why for practical parameter values of IP1S most ran...
Isomorphism classes of Edwards curves over finite fields
Elliptic curves Edwards curves Isomorphisms
2012/3/28
Edwards curves are an alternate model for elliptic curves, which have attracted notice in cryptography. We give exact formulas for the number of $\Fq$-isomorphism classes of Edwards curves and twisted...
Practical Cryptanalysis of the Identification Scheme Based on the Isomorphism of Polynomial with One Secret Problem
identification protocols cryptanalysis multivariate crypto
2010/10/11
This paper presents a practical cryptanalysis of the Identification Scheme proposed by Patarin at Crypto 1996. This scheme relies on the hardness of the Isomorphism of Polynomial with One Secret (IP1S...
In this paper, we investigate the difficulty of the Isomorphism of Polynomials (IP) Problem
as well as one of its variant IP1S. The Isomorphism of Polynomials is a well-known problem studied in
mult...
ISOMORPHISM CLASSES OF HYPERELLIPTIC CURVES OF GENUS 3 OVER FINITE FIELDS
cryptography hyperelliptic curves finite fields
2009/4/10
We give the number of the isomorphism classes of hyperelliptic
curves of genus 3 defined over finite fields Fpn, p 6= 2; 7: These results have
applications to cryptography.
ISOMORPHISM CLASSES OF HYPERELLIPTIC CURVES OF GENUS 2 OVER F2n
hyperelliptic curves of genus 2 finite fields isomorphism classes
2009/4/10
We give the exact number and representatives of the isomorphism,
which preserves infinity, classes of hyperelliptic curves of genus 2
over finite fields with characteristic 2 in most cases. These re...
ISOMORPHISM CLASSES OF PICARD CURVES OVER FINITE FIELDS
Picard curve superelliptic curve isomorphism class
2009/4/8
In this paper we determine the number of isomorphism classes of
Picard curves, i.e., superelliptic curves y3 = f(x) of genus three, over finite
fields of characteristic different from 3. In the proc...
Fast exponentiation via prime finite field isomorphism
fast exponentiation cyclic group algebraic integers
2008/11/11
Raising of the fixed element of prime order group to arbitrary degree is the main operation
specified by digital signature algorithms DSA, ECDSA. Fast exponentiation
algorithms are proposed. Algorit...