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Finite field arithmetic
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11	BRICS Basic Research in Computer Science BRICS RSCramer & Damg˚ard: Zero-Knowledge Proofs for Finite Field Arithmetic Zero-Knowledge Proofs for Add to Reading List Source URL: www.brics.dk Language: English - Date: 1997-11-26 08:42:39
12	Batch binary Edwards D. J. Bernstein University of Illinois at Chicago NSF ITR– Nonnegative elements of Z: Add to Reading List Source URL: www.iacr.org Language: English - Date: 2009-09-22 18:54:06 Integer sequences Ring theory Public-key cryptography Field theory Finite field Prime number Factorial Ring Modular arithmetic Mathematics Abstract algebra Mathematical analysis
13 $Abstract algebra / Irreducible polynomial / Finite field / Partial fraction / Degree of a polynomial / Mathematics / Polynomials / Algebra$	Lecture 6: Finite Fields (PART 3) PART 3: Polynomial Arithmetic Theoretical Underpinnings of Modern Cryptography Lecture Notes on “Computer and Network Security” by Avi Kak () January 29, 2015 Add to Reading List Source URL: engineering.purdue.edu Language: English - Date: 2015-01-29 15:31:09 Abstract algebra Irreducible polynomial Finite field Partial fraction Degree of a polynomial Mathematics Polynomials Algebra
14	Polynomial arithmetic and applications in number theory David Harvey September 26, 2008 Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2011-07-17 23:06:27 Field theory Polynomials Hyperelliptic curve Elliptic curve Number theory Finite field Prime number Field Hyperelliptic curve cryptography Abstract algebra Mathematics Algebra
15	Faster polynomial multiplication over finite fields David Harvey University of New South Wales 8th December AustMS/NZMS 2014, University of Melbourne Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2014-12-30 21:41:38 Multiplication Multiplication algorithm Finite field Polynomial Arithmetic circuit complexity Λ-ring Mathematics Algebra Abstract algebra
16	Eﬃcient Arithmetic on Subﬁeld Elliptic Curves over Small Odd Characteristics Keisuke Hakuta1 , Hisayoshi Sato1 , and Tsuyoshi Takagi2 1 Hitachi, Ltd., Systems Development Laboratory, Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2005-12-11 20:15:09 Analytic number theory Euclidean plane geometry Golden ratio Finite field Frobenius endomorphism Logarithm Defining equation Elliptic curve Complex number Abstract algebra Mathematics Field theory
17	Universally Constructing 12-th Degree Extension Field for Ate Pairing Masaaki Shirase School of Systems Information, Future University Hakodate, 116-2 Kamedanakano, Hakodate, Hokkaido, Japan Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-18 23:01:15 Modular arithmetic Quadratic residue Algebraic number theory Group theory Cubic reciprocity Legendre symbol Prime number Elliptic curve Finite field Abstract algebra Number theory Mathematics
18	1 Square root computation over even extension fields Gora Adj 1 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2013-07-18 17:22:53 Modular arithmetic Quadratic residue Field theory Exponentials Tonelli–Shanks algorithm Exponentiation by squaring Polynomial basis Quadratic reciprocity Finite field Abstract algebra Mathematics Number theory
19	COMBINATIONAL LOGIC DESIGN FOR AES SUBBYTE TRANSFORMATION ON MASKED DATA ELENA TRICHINA Abstract. Low power consumption, low gate count and high throughput used to be standard design criteria for cryptographic coprocesso Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2003-11-12 00:19:16 Binary arithmetic Mathematics Mask GF Finite field arithmetic XTR Finite fields Cryptography Advanced Encryption Standard
20	Privacy-Preserving Set Operations Lea Kissner Dawn Song Add to Reading List Source URL: www.cs.cmu.edu Language: English - Date: 2006-11-19 16:59:50 Polynomials Commutative algebra Multiset Invariant theory IP Computer algebra Factorization of polynomials over a finite field and irreducibility tests Arithmetic circuit complexity Abstract algebra Mathematics Algebra

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