Software implementation of binary elliptic curves: impact of the carry-less multiplier on scalar multiplication J. Taverne0 , A. Faz-Hern´andez1 , D. F. Aranha2 , F. Rodr´ıguez-Henr´ıquez1 , D. Hankerson3 , J. L´op

Source URL: delta.cs.cinvestav.mx

• Elliptic curve cryptography
• Finite fields
• Public-key cryptography
• Group theory
• Elliptic curves
• Elliptic curve
• Cryptography
• Multiplication algorithm
• Workshop on Cryptographic Hardware and Embedded Systems
• ECC patents

Math: Precalculus Operations on Matrices Objectives Students will be able to: • Perform operations on matrices (addition, scalar multiplication, and matrix multiplication).

Source URL: www.wolframalpha.com

Revisiting Atomic Patterns for Scalar Multiplications on Elliptic Curves Extended Version? Franck Rondepierre Oberthur Technologies, Crypto Group 420, rue Estienne d’Orves, Colombes, France

Source URL: eprint.iacr.org

• Elliptic curves
• Finite fields
• Elliptic curve cryptography
• Elliptic curve
• Multiplication
• XTR
• Matrix
• Scalar
• Hessian form of an elliptic curve
• Abstract algebra
• Mathematics
• Algebra

VLSI Implementation of Double-Base Scalar Multiplication on a Twisted Edwards Curve with an Efficiently Computable Endomorphism Zhe Liu1 , Husen Wang2 , Johann Großsch¨adl1 , Zhi Hu3 , and Ingrid Verbauwhede1 1

Source URL: eprint.iacr.org

• Finite fields
• Group theory
• Cryptography
• Twisted Edwards curve
• Elliptic curve
• Edwards curve
• Elliptic Curve DSA
• Complex multiplication
• Matrix
• Abstract algebra
• Elliptic curves
• Elliptic curve cryptography

1 A Note on Scalar Multiplication Using Division Polynomials Binglong Chen, Chuangqiang Hu and Chang-An Zhao

Source URL: eprint.iacr.org

• Elliptic curves
• Group theory
• Finite fields
• Number theory
• Cryptography
• Elliptic divisibility sequence
• Division polynomials
• Hyperelliptic curve cryptography
• Supersingular elliptic curve
• Algebra
• Abstract algebra
• Mathematics

Addition, subtraction and scalar multiplication Jackie Nicholas Mathematics Learning Centre University of Sydney

Source URL: sydney.edu.au

Elliptic curve scalar multiplication combining Yao’s algorithm and the double base number system Nicolas M´eloni and M. Anwar Hasan Department of Electrical and Computer Engineering University of Waterloo

Source URL: www.fields.utoronto.ca

• Multiplication
• Linear algebra
• Elliptic curves
• Binary operations
• Scalar
• Elliptic curve point multiplication
• Mathematics
• Algebra
• Abstract algebra

Arizona’s College and Career Ready Standards Mathematics Crosswalks: AZCCRS[removed]High School ARIZONA DEPARTMENT OF EDUCATION

Source URL: www.azed.gov

• Abstract algebra
• Vectors
• Mathematical structures
• Analytic geometry
• Matrix
• Vector space
• Scalar
• Complex number
• Multiplication
• Algebra
• Mathematics
• Linear algebra

LNCS[removed]Efficient Scalar Multiplication by Isogeny Decompositions

Source URL: web.science.mq.edu.au

• Elliptic curves
• Algebraic curves
• Analytic number theory
• Abelian varieties
• Finite fields
• Dual abelian variety
• Supersingular elliptic curve
• Isogeny
• Division polynomials
• Abstract algebra
• Algebraic geometry
• Algebra