Search results for "finite fields"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
4	Fabrizio Caruso, Jacopo D'Aurizio, Alasdair McAndrew	Efficient Finite Fields in the Maxima Computer Algebra System.	WAIFI	2008	DBLP DOI BibTeX RDF	modular roots, Maxima, finite fields, primitive element
4	Marc Mouffron	Transitive q-Ary Functions over Finite Fields or Finite Sets: Counts, Properties and Applications.	WAIFI	2008	DBLP DOI BibTeX RDF	(sharply) t-transitive functions, balanced functions, functions over finite fields, hardware and software implementation, Symmetric functions
4	Daniel Panario	What Do Random Polynomials over Finite Fields Look Like?	International Conference on Finite Fields and Applications	2003	DBLP DOI BibTeX RDF
4	Ivelisse M. Rubio, Carlos J. Corrada-Bravo	Cyclic Decomposition of Permutations of Finite Fields Obtained Using Monomials.	International Conference on Finite Fields and Applications	2003	DBLP DOI BibTeX RDF
4	Andreas Klappenecker, Martin Rötteler	Constructions of Mutually Unbiased Bases.	International Conference on Finite Fields and Applications	2003	DBLP DOI BibTeX RDF	quantum state estimation, Weil sums, finite fields, Quantum cryptography, Galois rings
3	Adrien Poteaux, Marc Rybowicz	Good reduction of puiseux series and complexity of the Newton-Puiseux algorithm over finite fields.	ISSAC	2008	DBLP DOI BibTeX RDF	modular methods, puiseux series, complexity, finite fields, algebraic functions, symbolic-numeric algorithms
3	Qiang Wang	Cyclotomic Mapping Permutation Polynomials over Finite Fields.	SSC	2007	DBLP DOI BibTeX RDF	cyclotomic mappings, generalized Lucas sequences, Dickson polynomials, finite fields, permutation polynomials
3	Iris Anshel, Michael Anshel, Dorian Goldfeld	A Linear Time Matrix Key Agreement Protocol Over Small Finite Fields.	Appl. Algebra Eng. Commun. Comput.	2006	DBLP DOI BibTeX RDF	Colored Burau matrices, Small finite fields, Key agreement protocol, Linear time
3	Christiaan van de Woestijne	Deterministic equation solving over finite fields.	ISSAC	2005	DBLP DOI BibTeX RDF	equation solving, finite fields, deterministic algorithms
3	Arash Reyhani-Masoleh, M. Anwar Hasan	Towards fault-tolerant cryptographic computations over finite fields.	ACM Trans. Embedded Comput. Syst.	2004	DBLP DOI BibTeX RDF	polynomial basis multiplier, security, fault-tolerant computing, finite fields, Error correction
3	Stéphane Ballet, Jean Chaumine	On the Bounds of the Bilinear Complexity of Multiplication in Some Finite Fields.	Appl. Algebra Eng. Commun. Comput.	2004	DBLP DOI BibTeX RDF	Finite Fields, Algebraic Curves, Algebraic Functions Fields, Bilinear Complexity
3	Siguna Müller	On the Computation of Square Roots in Finite Fields.	Des. Codes Cryptography	2004	DBLP DOI BibTeX RDF	complexity, finite fields, square roots, efficient computation
3	Stefan Tillich, Johann Großschädl	A Simple Architectural Enhancement for Fast and Flexible Elliptic Curve Cryptography over Binary Finite Fields GF(2m).	Asia-Pacific Computer Systems Architecture Conference	2004	DBLP DOI BibTeX RDF	application-specific instruction set extension, binary finite fields, SPARC V8, multiply step instruction, Elliptic curve cryptography
3	Jun-Cheol Jeon, Kee-Young Yoo	An Evolutionary Approach to the Design of Cellular Automata Architecture for Multiplication in Elliptic Curve Cryptography over Finite Fields.	PRICAI	2004	DBLP DOI BibTeX RDF	Evolutionary Computation, Cellular Automata, Finite Fields, Elliptic Curve Cryptography, Multiplication, Irreducible Polynomial
3	Jörg Wulftange	On the Construction of Some Towers over Finite Fields.	International Conference on Finite Fields and Applications	2003	DBLP DOI BibTeX RDF
3	Johann Großschädl, Guy-Armand Kamendje	Low-Power Design of a Functional Unit for Arithmetic in Finite Fields GF(p) and GF(2m).	WISA	2003	DBLP DOI BibTeX RDF	Multi-application smart cards, unified multiplier datapath, finite fields, elliptic curve cryptography, instruction set extensions
3	Wilfried Meidl, Arne Winterhof	On the Autocorrelation of Cyclotomic Generators.	International Conference on Finite Fields and Applications	2003	DBLP DOI BibTeX RDF
3	Ralf Franken, Stephen D. Cohen	The Covering Radius of Some Primitive Ternary BCH Codes.	International Conference on Finite Fields and Applications	2003	DBLP DOI BibTeX RDF
3	Michael Dewar, Daniel Panario	Mutual Irreducibility of Certain Polynomials.	International Conference on Finite Fields and Applications	2003	DBLP DOI BibTeX RDF
3	Zeljko Zilic, Zvonko G. Vranesic	A Deterministic Multivariate Interpolation Algorithm for Small Finite Fields.	IEEE Trans. Computers	2002	DBLP DOI BibTeX RDF	Vandermonde matrices, finite fields, Multivariate interpolation, Reed-Muller transform
3	Luis Hernández Encinas, Alfred Menezes, Jaime Muñoz Masqué	Isomorphism Classes of Genus-2 Hyperelliptic Curves Over Finite Fields.	Appl. Algebra Eng. Commun. Comput.	2002	DBLP DOI BibTeX RDF	Hyperelliptic curves over finite fields, Public-key cryptography, Discriminant
3	Mathieu Ciet, Jean-Jacques Quisquater, Francesco Sica	A Secure Family of Composite Finite Fields Suitable for Fast Implementation of Elliptic Curve Cryptography.	INDOCRYPT	2001	DBLP DOI BibTeX RDF	Weil descent, fast performance, Finite fields, elliptic curve cryptography
3	Joachim von zur Gathen, Igor Shparlinski	Orders of Gauss Periods in Finite Fields.	Appl. Algebra Eng. Commun. Comput.	1998	DBLP DOI BibTeX RDF	Primitive roots, Normal bases, Artin's conjecture, Algorithms, Finite fields
2	Abdelmejid Bayad, Yoshinori Hamahata	Higher dimensional Dedekind sums in finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Reza Rezaeian Farashahi, Dustin Moody, Hongfeng Wu	Isomorphism classes of Edwards curves over finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Ichiro Shimada	On Frobenius incidence varieties of linear subspaces over finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Yotsanan Meemark, Nathakhun Wiroonsri	The digraph of the kth power mapping of the quotient ring of polynomials over finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Ferruh Özbudak, Elif Saygi, Zülfükar Saygi	Quadratic forms of codimension 2 over finite fields containing F2 and Artin-Schreier type curves.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Takehiro Hasegawa, Miyoko Inuzuka, Takafumi Suzuki	Towers of function fields over finite fields corresponding to elliptic modular curves.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Guizhen Zhu, Daqing Wan	An asymptotic formula for counting subset sums over subgroups of finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Kitae Kim, Ikkwon Yie	A correspondence of certain irreducible polynomials over finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Daniel Panario, Georgios Tzanakis	A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Henning Stichtenoth, Alev Topuzoglu	Factorization of a class of polynomials over finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Xiang-Dong Hou	A new approach to permutation polynomials over finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Yan Jia	On quasi-twisted codes over finite fields.	Finite Fields and Their Applications	2012	DBLP DOI BibTeX RDF
2	Carlos Rentería-Márquez, Aron Simis, Rafael H. Villarreal	Algebraic methods for parameterized codes and invariants of vanishing ideals over finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Xiwang Cao, Lei Hu	New methods for generating permutation polynomials over finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	José E. Marcos	Specific permutation polynomials over finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Sudhir R. Ghorpade, Samrith Ram	Block companion Singer cycles, primitive recursive vector sequences, and coprime polynomial pairs over finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Tibor Beke	Zeta functions of equivalence relations over finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Feiqi Jiang, C. Ryan Vinroot	A semi-recursion for the number of involutions in special orthogonal groups over finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Amir Akbary, Dragos Ghioca, Qiang Wang	On constructing permutations of finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Pingzhi Yuan, Cunsheng Ding	Permutation polynomials over finite fields from a powerful lemma.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Jean-Guillaume Dumas, Rod Gow, John Sheekey	Rank properties of subspaces of symmetric and hermitian matrices over finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Qunying Liao, Lin You	Low complexity of a class of normal bases over finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	E. Alekseenko, S. Aleshnikov, Nadya Markin, A. Zaytsev	Optimal curves over finite fields with discriminant -19.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Amela Muratovic-Ribic, Qiang Wang	On coefficients of polynomials over finite fields.	Finite Fields and Their Applications	2011	DBLP DOI BibTeX RDF
2	Jiyou Li, David B. Chandler, Qing Xiang	Permutation polynomials of degree 6 or 7 over finite fields of characteristic 2.	Finite Fields and Their Applications	2010	DBLP DOI BibTeX RDF
2	Stephen Meagher, Jaap Top	Twists of genus three curves over finite fields.	Finite Fields and Their Applications	2010	DBLP DOI BibTeX RDF
2	Yotsanan Meemark, Nathakhun Wiroonsri	The quadratic digraph on polynomial rings over finite fields.	Finite Fields and Their Applications	2010	DBLP DOI BibTeX RDF
2	András Gács, Tamás Héger, Zoltán Lóránt Nagy, Dömötör Pálvölgyi	Permutations, hyperplanes and polynomials over finite fields.	Finite Fields and Their Applications	2010	DBLP DOI BibTeX RDF
2	Owen J. Brison, J. Eurico Nogueira	Non-standard sequence subgroups in finite fields.	Finite Fields and Their Applications	2010	DBLP DOI BibTeX RDF
2	Arnaud Bodin	Generating series for irreducible polynomials over finite fields.	Finite Fields and Their Applications	2010	DBLP DOI BibTeX RDF
2	Naomi Benger, Michael Scott	Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptography.	WAIFI	2010	DBLP DOI BibTeX RDF
2	Henning Stichtenoth	Recursive Towers of Function Fields over Finite Fields.	WAIFI	2010	DBLP DOI BibTeX RDF
2	Alexander Pott, Yue Zhou	Switching Construction of Planar Functions on Finite Fields.	WAIFI	2010	DBLP DOI BibTeX RDF
2	Xiang-dong Hou, Gary L. Mullen	Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fields.	Finite Fields and Their Applications	2009	DBLP DOI BibTeX RDF
2	Xiang-dong Hou, Gary L. Mullen, James A. Sellers, Joseph L. Yucas	Reversed Dickson polynomials over finite fields.	Finite Fields and Their Applications	2009	DBLP DOI BibTeX RDF
2	Ron Evans, John Greene	Clausen's theorem and hypergeometric functions over finite fields.	Finite Fields and Their Applications	2009	DBLP DOI BibTeX RDF
2	Robert W. Fitzgerald	Invariants of trace forms over finite fields of characteristic 2.	Finite Fields and Their Applications	2009	DBLP DOI BibTeX RDF
2	Owen J. Brison, J. Eurico Nogueira	Second order linear sequence subgroups in finite fields - II.	Finite Fields and Their Applications	2009	DBLP DOI BibTeX RDF
2	Robert W. Fitzgerald	Trace forms over finite fields of characteristic 2 with prescribed invariants.	Finite Fields and Their Applications	2009	DBLP DOI BibTeX RDF
2	M. Orel	A note on adjacency preservers on hermitian matrices over finite fields.	Finite Fields and Their Applications	2009	DBLP DOI BibTeX RDF
2	Jean Marc Couveignes, Reynald Lercier	Elliptic periods for finite fields.	Finite Fields and Their Applications	2009	DBLP DOI BibTeX RDF
2	Xiang-Dong Hou, Christopher Sze	On certain diagonal equations over finite fields.	Finite Fields and Their Applications	2009	DBLP DOI BibTeX RDF
2	Dong-Guk Han, Dooho Choi, Howon Kim	Improved Computation of Square Roots in Specific Finite Fields.	IEEE Trans. Computers	2009	DBLP DOI BibTeX RDF
2	Daniel Panario, David Thomson	Efficient p th root computations in finite fields of characteristic p.	Des. Codes Cryptography	2009	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000) 12E30
2	Nick A. Moldovyan, Andrey Moldovyan	Vector Finite Groups as Primitives for Fast Digital Signature Algorithms.	IF&GIS	2009	DBLP DOI BibTeX RDF	Vector finite groups, Multidimension cyclicity, Vector finite fields, Digital signature, Elliptic curves
2	Francis N. Castro, Ivelisse Rubio, Puhua Guan, Raúl Figueroa	On systems of linear and diagonal equation of degree pi+1 over finite fields of characteristic p.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
2	N. Anuradha	Number of points on certain hyperelliptic curves defined over finite fields.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
2	Owen J. Brison, J. Eurico Nogueira	Second order linear sequence subgroups in finite fields.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
2	Nicholas M. Katz	Corrigendum to "G2 and hypergeometric sheaves" [Finite Fields Appl.	Finite Fields and Their Applications	2008	DBLP BibTeX RDF
2	Michel Rigo	Syntactical and automatic properties of sets of polynomials over finite fields.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
2	Xiwang Cao, Henk D. L. Hollmann, Qing Xiang	New Kloosterman sum identities and equalities over finite fields.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
2	François Rodier, Adnen Sboui	Highest numbers of points of hypersurfaces over finite fields and generalized Reed-Muller codes.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
2	Omran Ahmadi, Gerardo Vega	On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
2	Jiyou Li, Daqing Wan	On the subset sum problem over finite fields.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
2	Cem Güneri, Ferruh Özbudak	Multidimensional cyclic codes and Artin-Schreier type hypersurfaces over finite fields.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
2	Huapeng Wu	Bit-Parallel Polynomial Basis Multiplier for New Classes of Finite Fields.	IEEE Trans. Computers	2008	DBLP DOI BibTeX RDF
2	Ariane M. Masuda, Lucia Moura, Daniel Panario, David Thomson	Low Complexity Normal Elements over Finite Fields of Characteristic Two.	IEEE Trans. Computers	2008	DBLP DOI BibTeX RDF	Computations in finite fields, Computations on polynomials
2	Tae Ho Kim, Sang Chul Kim, Chang Hoon Kim, Chun Pyo Hong	Scalable Montgomery Multiplier for Finite Fields GF(p) and GF(2^m).	DELTA	2008	DBLP DOI BibTeX RDF	Multi-Precision CSA, Scalable Multiplier, VLSI, Montgomery Multiplication
2	Wenbin Luo, Gregory L. Heileman	Exponential Hashing in Finite Fields.	EUC	2008	DBLP DOI BibTeX RDF
2	Keke Liu, Zesong Fei, Jingming Kuang	Three algebraic methods for constructing nonbinary LDPC codes based on finite fields.	PIMRC	2008	DBLP DOI BibTeX RDF
2	Kiran S. Kedlaya, Sergey Yekhanin	Locally Decodable Codes From Nice Subsets of Finite Fields and Prime Factors of Mersenne Numbers.	IEEE Conference on Computational Complexity	2008	DBLP DOI BibTeX RDF	Locally decodable codes, Mersenne primes
2	Swastik Kopparty, Sergey Yekhanin	Detecting Rational Points on Hypersurfaces over Finite Fields.	IEEE Conference on Computational Complexity	2008	DBLP DOI BibTeX RDF	Chevalley-Warning Theorem, Lang-Weil Theorem, Nonsingular Spaces of Matrices, Polynomial Identity Testing
2	Selçuk Baktir, Berk Sunar	Optimal Extension Field Inversion in the Frequency Domain.	WAIFI	2008	DBLP DOI BibTeX RDF	finite fields, Elliptic curve cryptography, discrete Fourier transform, inversion, number theoretic transform
2	Miroslav Knezevic, Kazuo Sakiyama, Junfeng Fan, Ingrid Verbauwhede	Modular Reduction in GF(2n) without Pre-computational Phase.	WAIFI	2008	DBLP DOI BibTeX RDF	Barrett reduction, Montgomery reduction, elliptic curve cryptography, public-key cryptography, Modular multiplication
2	Yoshinori Hamahata	Finite Dedekind Sums.	WAIFI	2008	DBLP DOI BibTeX RDF	Dedekind sums, Drinfeld modules, lattices
2	Gerasimos C. Meletiou, Arne Winterhof	Interpolation of the Double Discrete Logarithm.	WAIFI	2008	DBLP DOI BibTeX RDF	double discrete logarithm, interpolation polynomials, finite fields, elliptic curves
2	Francisco Rodríguez-Henríquez, Guillermo Morales-Luna, Julio López	Low-Complexity Bit-Parallel Square Root Computation over GF(2^{m}) for All Trinomials.	IEEE Trans. Computers	2008	DBLP DOI BibTeX RDF	Computations in finite fields, Algorithms, Computer arithmetic
2	Luis H. Gallardo, Olivier Rahavandrainy, Leonid Vaserstein	Representations of polynomials over finite fields of characteristic two as A2+A+BC+D3.	Finite Fields and Their Applications	2007	DBLP DOI BibTeX RDF
2	Marko J. Moisio	On the number of rational points on some families of Fermat curves over finite fields.	Finite Fields and Their Applications	2007	DBLP DOI BibTeX RDF
2	Claudia Malvenuto, Francesco Pappalardi	Corrigendum to "enumerating permutation polynomials - I: Permutations with non-maximal degree": [Finite Fields Appl.	Finite Fields and Their Applications	2007	DBLP BibTeX RDF
2	Klaus Scheicher	beta-Expansions in algebraic function fields over finite fields.	Finite Fields and Their Applications	2007	DBLP DOI BibTeX RDF
2	Alan R. Prince	Sum uniform subsets of the integers modulo p and an application to finite fields.	Finite Fields and Their Applications	2007	DBLP DOI BibTeX RDF
2	Robert W. Fitzgerald, Joseph L. Yucas	Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields.	Finite Fields and Their Applications	2007	DBLP DOI BibTeX RDF
2	Abusaleh M. Jabir, Dhiraj K. Pradhan	A Graph-Based Unified Technique for Computing and Representing Coefficients over Finite Fields.	IEEE Trans. Computers	2007	DBLP DOI BibTeX RDF	Finite or Galois fields, polynomials, decision diagrams, coefficients
2	Honggang Hu, Lei Hu, Dengguo Feng	On a Class of Pseudorandom Sequences From Elliptic Curves Over Finite Fields.	IEEE Transactions on Information Theory	2007	DBLP DOI BibTeX RDF
2	Robert W. Fitzgerald, Joseph L. Yucas	Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields.	WAIFI	2007	DBLP DOI BibTeX RDF	Dickson polynomial, finite field, cyclotomic polynomial
2	Omran Ahmadi, Darrel Hankerson, Alfred Menezes	Software Implementation of Arithmetic in F3m.	WAIFI	2007	DBLP DOI BibTeX RDF