515 CORRESPONDENCE On the Complexity DILIP

Source URL: www.ifp.illinois.edu

• Coding theory
• Error detection and correction
• Finite fields
• Mathematics
• Discrete mathematics
• ReedSolomon error correction
• Linear code
• Goppa code
• Code
• Cyclic code
• Forward error correction
• Additive white Gaussian noise

ON THE SIZE OF KAKEYA SETS IN FINITE FIELDS ZEEV DVIR F F

Source URL: www.cs.princeton.edu

U NE ATTAQUE ´ MA POLYNOMIALE DU SCH E DE M C E LIECE BAS E´ SUR LES

Source URL: caramba.loria.fr

• Coding theory
• Finite fields
• Goppa code
• Linear code

First Joint Meeting Brazil Italy of Mathematics Special Session: Algebraic Geometry over Finite Fields and its Applications to Coding Theory Rio de Janeiro, August 29 - September 02, 2016 Title: Two-point AG codes on the

Source URL: www.sbm.org.br

Security of the J-PAKE Password-Authenticated Key Exchange Protocol Michel Abdalla Fabrice Benhamouda

Source URL: www.normalesup.org

• Cryptography
• Finite fields
• Computational hardness assumptions
• Password-authenticated key agreement
• Password Authenticated Key Exchange by Juggling
• SPEKE
• DiffieHellman problem
• Zero-knowledge proof
• XTR
• Digital signature
• Proof of knowledge

First Joint Meeting Brazil Italy of Mathematics Special Session: Algebraic Geometry over Finite Fields and its Applications to Coding Theory Rio de Janeiro, August 29 - September 02, 2016 Title: Generalized Twisted Gabid

Source URL: www.sbm.org.br

Edgar H. Sibley Panel Editor Cyclic Redundancy Check (CRC) codes provide a simple yet powerful method of error detection during digital data transmission. Use of a table look-up in computing the CRC bits will efficiently

Source URL: www.ifp.illinois.edu

• Finite fields
• Mathematics
• Cyclic redundancy checks
• Polynomials
• Coding theory
• Binary arithmetic
• Computation of cyclic redundancy checks
• Mathematics of cyclic redundancy checks
• CRC-based framing

BetterTimes Privacy-assured Outsourced Multiplications for Additively Homomorphic Encryption on Finite Fields Per Hallgren1 , Mart´ın Ochoa2,3 , and Andrei Sabelfeld1 1

Source URL: www.cse.chalmers.se

Useful Stuff Benjamin Smith Context Algebraic Curves Useful Stuff

Source URL: ecc2011.loria.fr

• Algebraic curves
• Finite fields
• Abelian variety
• Niels Henrik Abel
• Elliptic curve
• DiffieHellman problem
• Hyperelliptic curve cryptography
• Hyperelliptic curve

Motivation - Exotic Security Assumptions in Cryptography Main Algorithm and Results Oracle-assisted Static DHP for binary curves On the Static Diffie-Hellman Problem on Elliptic Curves over Extension Fields

Source URL: 2010.eccworkshop.org

• Cryptography
• Abstract algebra
• Algebra
• Computational hardness assumptions
• Finite fields
• DiffieHellman problem
• Group theory
• Elliptic curve cryptography
• Provable security
• Whitfield Diffie
• DiffieHellman key exchange
• Elliptic curve