New point compression method for elliptic Fq2-curves of j-invariant 0

被引：0

作者：

Koshelev, Dmitrii ^{[1
,2
,3
]}

机构：

[1] Versailles Laboratory of Mathematics, Versailles Saint-Quentin-en-Yvelines University, France

[2] Algebra and Number Theory Laboratory, Institute for Information Transmission Problems, Russia

[3] Department of Discrete Mathematics, Moscow Institute of Physics and Technology, Russia

来源：

Finite Fields and their Applications | 2021年 / 69卷

关键词：

D O I：

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中图分类号：

学科分类号：

摘要：

Geometry - Public key cryptography - Computation theory

引用

共 36 条

[21] Indifferentiable hashing to ordinary elliptic Fq-curves of j=0 with the cost of one exponentiation in Fq
Koshelev, Dmitrii
DESIGNS CODES AND CRYPTOGRAPHY, 2022, 90 (03) : 801 - 812
[22] Torsion groups of elliptic curves with integral j-invariant over general cubic number fields
Petho, A
Weis, T
Zimmer, HG
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 1997, 7 (03) : 353 - 413
[23] TORSION GROUPS OF ELLIPTIC-CURVES WITH INTEGRAL J-INVARIANT OVER PURE CUBIC FIELDS
FUNG, GW
STROHER, H
WILLIAMS, HC
ZIMMER, HG
JOURNAL OF NUMBER THEORY, 1990, 36 (01) : 12 - 45
[24] TORSION OF ELLIPTIC CURVES WITH RATIONAL j-INVARIANT DEFINED OVER NUMBER FIELDS OF PRIME DEGREE
Guzvic, Tomislav
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 149 (08) : 3261 - 3275
[25] ELLIPTIC-CURVES WITH GOOD REDUCTION EVERYWHERE OVER QUADRATIC FIELDS AND HAVING RATIONAL J-INVARIANT
SETZER, B
ILLINOIS JOURNAL OF MATHEMATICS, 1981, 25 (02) : 233 - 245
[26] Ordinary elliptic curves of high rank over (F)over-barp(x) with constant j-invariant
Bouw, II
Diem, C
Scholten, J
MANUSCRIPTA MATHEMATICA, 2004, 114 (04) : 487 - 501
[27] A point compression method for elliptic curves defined over GF(2n)
King, B
PUBLIC KEY CRYPTOGRAPHY - PKC 2004, PROCEEDINGS, 2004, 2947 : 333 - 345
[28] Ordinary elliptic curves of high rank over [inline-graphic not available: see fulltext] with constant j-invariant
Irene I. Bouw
Claus Diem
Jasper Scholten
manuscripta mathematica, 2004, 114 : 487 - 501
[29] Ordinary elliptic curves of high rank over (F)over-barP (x) with constant j-invariant II
Diem, Claus
Scholten, Jasper
JOURNAL OF NUMBER THEORY, 2007, 124 (01) : 31 - 41
[30] An x-Coordinate Point Compression Method for Elliptic Curves over Fp
Dudeanu, Alina
Oancea, George-Razvan
Iftene, Sorin
12TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2010), 2011, : 65 - 71

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