Search results for "Finite field"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
5	Leilei Song, Keshab K. Parhi	Efficient Finite Field Serial/Parallel Multiplication.	ASAP	1996	DBLP DOI BibTeX RDF	finite field serial/parallel multiplication, finite field arithmetic architectures, bit-serial/parallel finite field multiplier, standard basis representation, optimal primitive polynomials, minimum hardware complexity, semi-systolic architecture, computational complexity, cryptography, cryptography, encoding, digital arithmetic, polynomials, multiplying circuits, VLSI implementation, coding theory
3	Ashkan Hosseinzadeh Namin, Huapeng Wu, Majid Ahmadi	A New Finite-Field Multiplier Using Redundant Representation.	IEEE Trans. Computers	2008	DBLP DOI BibTeX RDF	cyclotomic field, multiplier, Finite field arithmetic, Redundant representation, optimal normal basis
3	Ashkan Hosseinzadeh Namin, Huapeng Wu, Majid Ahmadi	Comb Architectures for Finite Field Multiplication in F(2^m).	IEEE Trans. Computers	2007	DBLP DOI BibTeX RDF	FPGA, elliptic curve cryptography, normal basis, redundant representation, Finite field multiplier
3	Nathan Jachimiec, Fernando Martinez-Vallin, Jafar Saniie	CReconfigurable finite field instruction set architecture.	FPGA	2007	DBLP DOI BibTeX RDF	MicroBlaze, embedded development, fast simplex links, galois fields, instruction set extensions, partial reconfiguration, finite field arithmetic, Xilinx, FSL
3	Gunnar Gaubatz, Berk Sunar	Robust Finite Field Arithmetic for Fault-Tolerant Public-Key Cryptography.	FDTC	2006	DBLP DOI BibTeX RDF	homomorphic embedding, modulus scaling, fault tolerance, error detection, public-key cryptography, arithmetic codes, Finite field arithmetic, cyclic codes, idempotency
3	Selçuk Baktir, Berk Sunar	Finite Field Polynomial Multiplication in the Frequency Domain with Application to Elliptic Curve Cryptography.	ISCIS	2006	DBLP DOI BibTeX RDF	elliptic curve cryptography, DFT, Finite field multiplication
3	Stephen D. Cohen	Finite Field Elements with Specified Order and Traces.	Des. Codes Cryptography	2005	DBLP DOI BibTeX RDF	specified traces, finite field, primitive element, character sums
3	Zhiyuan Yan, Dilip V. Sarwate	Area-efficient two-dimensional architectures for finite field inversion and division.	ACM Great Lakes Symposium on VLSI	2005	DBLP DOI BibTeX RDF	cryptography, finite field, Reed-Solomon codes, arithmetic, galois field
3	Rajendra S. Katti, Joseph Brennan	Low Complexity Multiplication in a Finite Field Using Ring Representation.	IEEE Trans. Computers	2003	DBLP DOI BibTeX RDF	ring representation, systolic arrays, Finite field multiplication
3	Chang Hoon Kim, Soonhak Kwon, Jong Jin Kim, Chun Pyo Hong	A Compact and Fast Division Architecture for a Finite Field.	ICCSA	2003	DBLP DOI BibTeX RDF	Extended Binary GCD, VLSI, Finite Field, Division
3	Chang Hoon Kim, Soonhak Kwon, Jong Jin Kim, Chun Pyo Hong	A New Arithmetic Unit in GF(2m) for Reconfigurable Hardware Implementation.	FPL	2003	DBLP DOI BibTeX RDF	Finite Field Division, VL, ECC, Finite Field Multiplication
3	Huapeng Wu, M. Anwarul Hasan, Ian F. Blake, Shuhong Gao	Finite Field Multiplier Using Redundant Representation.	IEEE Trans. Computers	2002	DBLP DOI BibTeX RDF	cyclotomic ring, redundant set, multiplier, Finite field arithmetic, normal basis, squaring
3	M. Anwarul Hasan	Look-Up Table-Based Large Finite Field Multiplication in Memory Constrained Cryptosystems.	IEEE Trans. Computers	2000	DBLP DOI BibTeX RDF	Galois (or finite) field multiplication, cryptographic systems, polynomial basis and look-up tables, Computer arithmetic
3	Chin-Liang Wang, Jyh-Huei Guo	New Systolic Arrays for C + AB2, Inversion, and Division in GF(2m).	IEEE Trans. Computers	2000	DBLP DOI BibTeX RDF	finite field division, finite field inversion, parallel-in parallel-out architecture, VLSI, systolic array, Finite field arithmetic
3	Michael Gössel, Sebastian T. J. Fenn, David Taylor	On-line error detection for finite field multipliers. (PDF / PS)	DFT	1997	DBLP DOI BibTeX RDF	on-line error detection circuit, parity prediction, simulation, fault coverage, multiplying circuits, hardware overhead, finite field multiplier
3	Charles C. Wang	An Algorithm to Design Finite Field Multipliers Using a Self-Dual Normal Basis.	IEEE Trans. Computers	1989	DBLP DOI BibTeX RDF	self-dual, Massey-Omura finite-field multiplier, self-dual basis, digital arithmetic, Boolean algebra, normal basis, Massey-Omura multiplier, finite field multipliers, product function
3	Charles C. Wang, Trieu-Kien Truong, Howard M. Shao, Leslie J. Deutsch, Jim K. Omura, Irving S. Reed	VLSI Architectures for Computing Multiplications and Inverses in GF(2m).	IEEE Trans. Computers	1985	DBLP DOI BibTeX RDF	Finite field inverse, normal basis multiplier, pipeline, systolic array, inverse, normal basis, finite field multiplication, Massey-Omura multiplier, finite field multiplier
2	Gang Zhou, Harald Michalik	Comments on "A New Architecture for a Parallel Finite Field Multiplier with Low Complexity Based on Composite Field".	IEEE Trans. Computers	2010	DBLP DOI BibTeX RDF	Karatsuba algorithm, finite field, polynomial multiplication
2	Pramod Kumar Meher, Yajun Ha, Chiou-Yng Lee	An optimized design for serial-parallel finite field multiplication over GF(2m) based on all-one polynomials.	ASP-DAC	2009	DBLP DOI BibTeX RDF
2	Ignacio Cascudo Pueyo, Hao Chen, Ronald Cramer, Chaoping Xing	Asymptotically Good Ideal Linear Secret Sharing with Strong Multiplication over Any Fixed Finite Field.	CRYPTO	2009	DBLP DOI BibTeX RDF
2	Alla Sirokofskich	Decidability of Sub-theories of Polynomials over a Finite Field.	CiE	2009	DBLP DOI BibTeX RDF
2	Jean-Guillaume Dumas, Clément Pernet, B. David Saunders	On finding multiplicities of characteristic polynomial factors of black-box matrices.	ISSAC	2009	DBLP DOI BibTeX RDF	finite field, characteristic polynomial, black-box matrix
2	Gang Zhou, Harald Michalik, László Hinsenkamp	Improving Throughput of AES-GCM with Pipelined Karatsuba Multipliers on FPGAs.	ARC	2009	DBLP DOI BibTeX RDF	AES-GCM, pipelined Karatsuba multiplier, FPGAs, finite field arithmetic
2	Yuta Sasaki, Satsuki Nishina, Masaaki Shirase, Tsuyoshi Takagi	An Efficient Residue Group Multiplication for the etaT Pairing over F3m.	Selected Areas in Cryptography	2009	DBLP DOI BibTeX RDF	residue group, Vandermonde matrix, pairing, Finite field multiplication
2	Jimson Mathew, Hafizur Rahaman, Babita R. Jose, Dhiraj K. Pradhan	Design of Reversible Finite Field Arithmetic Circuits with Error Detection.	VLSI Design	2008	DBLP DOI BibTeX RDF
2	Ashkan Hosseinzadeh Namin, Huapeng Wu, Majid Ahmadi	A high speed word level finite field multiplier using reordered normal basis.	ISCAS	2008	DBLP DOI BibTeX RDF
2	Renfei Liu, Keshab K. Parhi	Fast composite field S-box architectures for advanced encryption standard.	ACM Great Lakes Symposium on VLSI	2008	DBLP DOI BibTeX RDF	advanced encryption standard (aes), composite finite field, s-box, precomputation
2	Jean-Guillaume Dumas	Q-adic transform revisited.	ISSAC	2008	DBLP DOI BibTeX RDF	dqt (discrete q-adic transform), fqt (fast q-adic transform), kronecker substitution, modular polynomial multiplication, redq (simultaneous modular reduction), small extension field, finite field
2	Silvana Medos, Serdar Boztas	Montgomery Residue Representation Fault-Tolerant Computation in GF(2k).	ACISP	2008	DBLP DOI BibTeX RDF	fault tolerant computation, finite field, fault attacks
2	Guang Zeng, Yang Yang, Wenbao Han, Shuqin Fan	Reducible Polynomial over F2 Constructed by Trinomial sigma-LFSR.	Inscrypt	2008	DBLP DOI BibTeX RDF	Stickelberger-Swan Theorem, ??LFSR, Finite Field, Linear Feedback Shift Register(LFSR), Irreducible Polynomial
2	Mina Sartipi, Farshid Delgosha, Faramarz Fekri	Two-Dimensional Half-Rate Codes Using Two-Dimensional Finite-Field Filter Banks.	IEEE Transactions on Signal Processing	2007	DBLP DOI BibTeX RDF
2	Marcio Juliato, Guido Araujo, Julio López, Ricardo Dahab	A Custom Instruction Approach for Hardware and Software Implementations of Finite Field Arithmetic over F2163 using Gaussian Normal Bases.	VLSI Signal Processing	2007	DBLP DOI BibTeX RDF	Gaussian normal bases, processor specialization, elliptic curve cryptography, finite field arithmetic
2	Bijan Ansari, Huapeng Wu	Efficient Finite Field Processor for GF(2^163) and its VLSI Implementation.	ITNG	2007	DBLP DOI BibTeX RDF
2	Yuan Yuan, Yan Tong, Huanguo Zhang	Complete Mapping Polynomials over Finite Field F16.	WAIFI	2007	DBLP DOI BibTeX RDF	complete mapping polynomials, unique factorization domain, permutation polynomials
2	Daniel Goldstein, Alfred W. Hales	Strongly Primitive Elements.	SSC	2007	DBLP DOI BibTeX RDF	Golomb conjecture, finite field, primitive element
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	Faramarz Fekri, Steven W. McLaughlin, Russell M. Mersereau, Ronald W. Schafer	Block error correcting codes using finite-field wavelet transforms.	IEEE Transactions on Signal Processing	2006	DBLP DOI BibTeX RDF
2	Yoo-Jin Baek, Mi-Jung Noh	DPA-Resistant Finite Field Multipliers and Secure AES Design.	ISPEC	2006	DBLP DOI BibTeX RDF
2	Youbo Wang, Zhiguang Tian, Xinyan Bi, Zhendong Niu	Efficient Multiplier over Finite Field Represented in Type II Optimal Normal Basis.	ISDA	2006	DBLP DOI BibTeX RDF
2	Mun-Kyu Lee, Howon Kim, Dowon Hong, Kyoil Chung	Efficient Exponentiation in GF(pm) Using the Frobenius Map.	ICCSA	2006	DBLP DOI BibTeX RDF	Cryptography, Finite Field, Elliptic Curve, Exponentiation, Optimal Extension Field
2	Petr Hlinený	On Matroid Representability and Minor Problems.	MFCS	2006	DBLP DOI BibTeX RDF	Matroid representability, spike, swirl. 2000 Math subject classification: 05B35, finite field, 68Q17, 68R05, minor
2	Trond Stølen Gustavsen, Kristian Ranestad	A Simple Point Counting Algorithm for Hessian Elliptic Curves in Characteristic Three.	Appl. Algebra Eng. Commun. Comput.	2006	DBLP DOI BibTeX RDF	Point counting, Cryptography, Finite field, Elliptic curve
2	Faramarz Fekri, Mina Sartipi, Russell M. Mersereau, Ronald W. Schafer	Convolutional codes using finite-field wavelets: time-varying codes and more.	IEEE Transactions on Signal Processing	2005	DBLP DOI BibTeX RDF
2	Chang Hoon Kim, Chun Pyo Hong, Soonhak Kwon	A digit-serial multiplier for finite field GF(2/sup m/).	IEEE Trans. VLSI Syst.	2005	DBLP DOI BibTeX RDF
2	Neeraj Kayal	Solvability of a System of Bivariate Polynomial Equations over a Finite Field.	ICALP	2005	DBLP DOI BibTeX RDF
2	Ravi Kumar Satzoda, Chip-Hong Chang	VLSI Performance Evaluation and Analysis of Systolic and Semisystolic Finite Field Multipliers.	Asia-Pacific Computer Systems Architecture Conference	2005	DBLP DOI BibTeX RDF
2	Ku-Young Chang, Dowon Hong, Hyun-Sook Cho	Low Complexity Bit-Parallel Multiplier for GF(2^m) Defined by All-One Polynomials Using Redundant Representation.	IEEE Trans. Computers	2005	DBLP DOI BibTeX RDF	Karatsuba method, AOP, finite field arithmetic, redundant representation, Bit-parallel multiplier
2	Arash Reyhani-Masoleh, M. Anwar Hasan	Low Complexity Word-Level Sequential Normal Basis Multipliers.	IEEE Trans. Computers	2005	DBLP DOI BibTeX RDF	Finite field, optimal normal basis, Massey-Omura multiplier
2	Tim Good, Mohammed Benaissa	AES on FPGA from the Fastest to the Smallest.	CHES	2005	DBLP DOI BibTeX RDF	low area, Application Specific Instruction Processor (ASIP), Field Programmable Gate Array (FPGA), pipelined, Advanced Encryption Standard (AES), finite field, high throughput, design exploration
2	Chang Hoon Kim, Chun Pyo Hong, Soonhak Kwon	A Novel Arithmetic Unit over GF(2m) for Low Cost Cryptographic Applications.	HPCC	2005	DBLP DOI BibTeX RDF	VLSI, Cryptography, Finite Field, Multiplication, Division
2	Chang Hoon Kim, Soonhak Kwon, Chun Pyo Hong, In-Gil Nam	A New Digit-Serial Systolic Mulitplier for High Performance GF(2m) Applications.	HPCC	2005	DBLP DOI BibTeX RDF	VLSI, Cryptography, Finite Field, Digit-Serial Multiplier
2	Soonhak Kwon, Chang Hoon Kim, Chun Pyo Hong	Compact Linear Systolic Arrays for Multiplication Using a Trinomial Basis in GF(2m) for High Speed Cryptographic Processors.	ICCSA	2005	DBLP DOI BibTeX RDF	VLSI, finite field, systolic array, irreducible trinomial
2	Lih-Chung Wang, Yuh-Hua Hu, Feipei Lai, Chun-yen Chou, Bo-Yin Yang	Tractable Rational Map Signature.	Public Key Cryptography	2005	DBLP DOI BibTeX RDF	tractable rational maps, digital signature, finite field, public key, multivariate
2	Soonhak Kwon, Chang Kim, Chun Pyo Hong	Unidirectional Two Dimensional Systolic Array for Multiplication in GF(2m) Using LSB First Algorithm.	WILF	2005	DBLP DOI BibTeX RDF	LSB first algorithm, VLSI, finite field, Systolic array, data flow, fault tolerant architecture
2	Ferruh Özbudak	Elements of Prescribed Order, Prescribed Traces and Systems of Rational Functions Over Finite Fields.	Des. Codes Cryptography	2005	DBLP DOI BibTeX RDF	ordered orthogonal array, finite field, BCH code, algebraic function field
2	Nick Iliev, James E. Stine, Nathan Jachimiec	Parallel Programmable Finite Field GF(2m) Multipliers.	ISVLSI	2004	DBLP DOI BibTeX RDF
2	Zhiyuan Yan, Dilip V. Sarwate	High-speed systolic architectures for finite field inversion and division.	ACM Great Lakes Symposium on VLSI	2004	DBLP DOI BibTeX RDF	cryptography, Reed-Solomon codes, Galois field, finite field arithmetic
2	Nareli Cruz Cortés, Francisco Rodríguez-Henríquez, Carlos A. Coello Coello	On the Optimal Computaion of Finite Field Exponentiation.	IBERAMIA	2004	DBLP DOI BibTeX RDF
2	Soonhak Kwon, Kris Gaj, Chang Hoon Kim, Chun Pyo Hong	Efficient Linear Array for Multiplication in GF(2m) Using a Normal Basis for Elliptic Curve Cryptography.	CHES	2004	DBLP DOI BibTeX RDF	finite field, elliptic curve cryptography, Massey-Omura multiplier, Gaussian normal basis, critical path delay
2	Bo-Yin Yang, Jiun-Ming Chen, Yen-Hung Chen	TTS: High-Speed Signatures on a Low-Cost Smart Card.	CHES	2004	DBLP DOI BibTeX RDF	8051, smart card, finite field, Multivariate public-key cryptosystem
2	Yong Ho Hwang, Sang Gyoo Sim, Pil Joong Lee	Bit-Serial Multipliers for Exponentiation and Division in GF(2m) Using Irreducible AOP.	ICCSA	2004	DBLP DOI BibTeX RDF	Irreducible AOP, Finite field, Exponentiation, Bit-serial multiplier
2	Chang Hoon Kim, Soonhak Kwon, Chun Pyo Hong, Hiecheol Kim	A New Systolic Array for Least Significant Digit First Multiplication in GF(2m).	ICCSA	2004	DBLP DOI BibTeX RDF	Digit-Serial Architecture, VLSI, Cryptography, Systolic Array, Finite Field Multiplication
2	Soonhak Kwon, Chang Hoon Kim, Chun Pyo Hong	A Linear Systolic Array for Multiplication in GF(2m) for High Speed Cryptographic Processors.	ICCSA	2004	DBLP DOI BibTeX RDF	Riemann Hypothesis, Artins conjecture for primitive roots, systolic array, Finite field multiplier, all one polynomial
2	Edusmildo Orozco, Dorothy Bollman	Optimizing Symmetric FFTs with Prime Edge-Length.	ICCSA	2004	DBLP DOI BibTeX RDF	Symmetric FFT, finite field, orbit, cyclic convolution
2	Dan Page, Martijn Stam	On XTR and Side-Channel Analysis.	Selected Areas in Cryptography	2004	DBLP DOI BibTeX RDF	LUC, finite field, side channel attack, power analysis, XTR
2	Soonhak Kwon	Signed Digit Representation with NAF and Balanced Ternary Form and Efficient Exponentiation in GF(qn) Using a Gaussian Normal Basis of Type II.	WISA	2004	DBLP DOI BibTeX RDF	NAF (nonadjacent form), balanced ternary number system, finite field, exponentiation, optimal normal basis, Gaussian normal basis, signed digit representation
2	Alan G. B. Lauder	Counting Solutions to Equations in Many Variables over Finite Fields.	Foundations of Computational Mathematics	2004	DBLP DOI BibTeX RDF	Homogeneous polynomial, Projective hypersurface, Dwork cohomology, Deformation theory, p-adic differentail equation, Algorithm, Finite field, Zeta function
2	Pinaki Das	uq-Sharp Subsets of a Finite Field.	International Conference on Finite Fields and Applications	2003	DBLP DOI BibTeX RDF
2	Cornelia Grabbe, Marcus Bednara, Joachim von zur Gathen, Jamshid Shokrollahi, Jürgen Teich	A High Performance VLIW Processor for Finite Field Arithmetic.	IPDPS	2003	DBLP DOI BibTeX RDF
2	Wonjong Kim, Seungchul Kim, Hanjin Cho, Kwang-youb Lee	A fast-serial finite field multiplier without increasing the number of registers.	ISCAS	2003	DBLP DOI BibTeX RDF
2	Farzali A. Izadi, V. Kumar Murty	Counting Points on an Abelian Variety over a Finite Field.	INDOCRYPT	2003	DBLP DOI BibTeX RDF
2	Maneli Noorkami, Faramarz Fekri	An Efficient Finite-Field Convolution to Enhance the Performance of the Wavelet Cryptosystem on Handheld Devices.	ITCC	2003	DBLP DOI BibTeX RDF
2	Arash Reyhani-Masoleh, M. Anwarul Hasan	Low Complexity Sequential Normal Basis Multipliers over GF(2m).	IEEE Symposium on Computer Arithmetic	2003	DBLP DOI BibTeX RDF	Finite field, optimal normal basis, Massey-Omura multiplier
2	Soonhak Kwon, Chang Hoon Kim, Chun Pyo Hong	Efficient Exponentiation for a Class of Finite Fields GF(2 n) Determined by Gauss Periods.	CHES	2003	DBLP DOI BibTeX RDF	Gauss period, Finite field, exponentiation, optimal normal basis, primitive element
2	Soonhak Kwon, Heuisu Ryu	Efficient Bit Serial Multiplication in GF(2m) for a Class of Finite Fields.	ICOIN	2003	DBLP DOI BibTeX RDF	bit serial multiplication, optimal normal basis of type II, Finite field, dual basis, all one polynomial
2	Soonhak Kwon, Chang Hoon Kim, Chun Pyo Hong	Gauss Period, Sparse Polynomial, Redundant Basis, and Efficient Exponentiation for a Class of Finite Fields with Small Characteristic.	ISAAC	2003	DBLP DOI BibTeX RDF	Gauss period, trinomial, redundant basis, Finite field, exponentiation, root of unity
2	Alan G. B. Lauder	Computing Zeta Functions of Kummer Curves via Multiplicative Characters.	Foundations of Computational Mathematics	2003	DBLP DOI BibTeX RDF	Multiplicative character, L-Function, Kummer curve, Hyperelliptic, Superelliptic, Kedlaya's algorithm, Cryptography, Finite field, Zeta function
2	Huapeng Wu	Bit-Parallel Finite Field Multiplier and Squarer Using Polynomial Basis.	IEEE Trans. Computers	2002	DBLP DOI BibTeX RDF	hardware architecture, Finite fields arithmetic, polynomial basis
2	Zhan Yu	Low power finite field multiplication and division in re-configurable Reed-Solomon codec.	ISCAS	2002	DBLP DOI BibTeX RDF
2	Zhiyuan Yan, Dilip V. Sarwate	Systolic architectures for finite field inversion and division.	ISCAS	2002	DBLP DOI BibTeX RDF
2	Jean-Guillaume Dumas, Thierry Gautier, Clément Pernet	Finite field linear algebra subroutines.	ISSAC	2002	DBLP DOI BibTeX RDF	BLAS level 1-2-3, Galois finite fields, Winograd's symbolic matrix multiplication
2	Arash Reyhani-Masoleh, M. Anwarul Hasan	A New Construction of Massey-Omura Parallel Multiplier over GF(2m).	IEEE Trans. Computers	2002	DBLP DOI BibTeX RDF	optimal normal bases, Finite field, Massey-Omura multiplier, all-one polynomial
2	Martijn Stam, Arjen K. Lenstra	Efficient Subgroup Exponentiation in Quadratic and Sixth Degree Extensions.	CHES	2002	DBLP DOI BibTeX RDF	LUC, finite field, XTR, cyclotomic polynomial
2	Johannes Wolkerstorfer	Dual-Field Arithmetic Unit for GF(p) and GF(2m).	CHES	2002	DBLP DOI BibTeX RDF	multiplication, hardware implementation, inversion, Finite field arithmetic, redundant number representation, modular reduction
2	Johannes Wolkerstorfer, Elisabeth Oswald, Mario Lamberger	An ASIC Implementation of the AES SBoxes.	CT-RSA	2002	DBLP DOI BibTeX RDF	standard-cell design, scalability, Very Large Scale Integration (VLSI), pipelining, Advanced Encryption Standard (AES), Application Specific Integrated Circuit (ASIC), inversion, finite field arithmetic
2	Soonhak Kwon, Heuisu Ryu	Efficient Bit Serial Multiplication Using Optimal Normal Bases of Type II in GF (2m).	ISC	2002	DBLP DOI BibTeX RDF	bit serial multiplication, optimal normal basis of type II, Finite field, dual basis
2	Peng Ning, Yiqun Lisa Yin	Efficient Software Implementation for Finite Field Multiplication in Normal Basis.	ICICS	2001	DBLP DOI BibTeX RDF
2	Kyungah Shim	Reducing Certain Elliptic Curve Discrete Logarithms to Logarithms in a Finite Field.	ACISP	2001	DBLP DOI BibTeX RDF	Anomalous curve, supersingular curve, elliptic curve discrete logarithm, Weil pairing
2	Zhi Li, John Higgins, Mark J. Clement	Performance of Finite Field Arithmetic in an Elliptic Curve Cryptosystem.	MASCOTS	2001	DBLP DOI BibTeX RDF	ElGamel, Encryption, Elliptic Curve, normal basis, polynomial basis
2	Shyue-Win Wei	Cellular-array power-sum circuits over programmable finite field GF(2''').	ISCAS	2001	DBLP DOI BibTeX RDF
2	Lijun Gao, Keshab K. Parhi	Custom VLSI design of efficient low latency and low power finite field multiplier for Reed-Solomon codec.	ISCAS	2001	DBLP DOI BibTeX RDF
2	Naofumi Takagi, Jun-ichi Yoshiki, Kazuyoshi Takagi	A Fast Algorithm for Multiplicative Inversion in GF(2m) Using Normal Basis.	IEEE Trans. Computers	2001	DBLP DOI BibTeX RDF	finite field inversion, Fermat's theorem, Finite field, normal basis
2	Johann Großschädl	A Bit-Serial Unified Multiplier Architecture for Finite Fields GF(p) and GF(2m).	CHES	2001	DBLP DOI BibTeX RDF	iterative modulo multiplication, polynomial basis representation, bit-serial multiplier architecture, smart card crypto-coprocessor, Elliptic curve cryptography, finite field arithmetic
2	Frederik Vercauteren, Bart Preneel, Joos Vandewalle	A Memory Efficient Version of Satoh's Algorithm.	EUROCRYPT	2001	DBLP DOI BibTeX RDF	order counting, Satoh's algorithm, finite field, elliptic curve
2	Arash Reyhani-Masoleh, M. Anwarul Hasan	Fast Normal Basis Multiplication Using General Purpose Processors.	Selected Areas in Cryptography	2001	DBLP DOI BibTeX RDF	software algo- rithms, normal basis, ECDSA, Finite field multiplication, composite fields
2	Leilei Song, Keshab K. Parhi, Ichiro Kuroda, Takao Nishitani	Hardware/software codesign of finite field datapath for low-energy Reed-Solomon codecs.	IEEE Trans. VLSI Syst.	2000	DBLP DOI BibTeX RDF
2	Ming-Der Shieh, Hsin-Fu Lo, Ming-Hwa Sheu	High-speed generation of LFSR signatures.	Asian Test Symposium	2000	DBLP DOI BibTeX RDF	high-speed generation, LFSR signatures, compaction simulation, single-input signature register, equivalent multiple-input implementation, finite field theory, high-speed signature computations, lookahead technique, internal-XOR LFSR, external-XOR LFSR, performance evaluation, logic testing, built-in self test, integrated circuit testing, automatic test pattern generation, BIST, linear feedback shift register, binary sequences, subsequences
2	Biplab K. Sikdar, Kolin Paul, Gosta Pada Biswas, Parimal Pal Chaudhuri, Vamsi Boppana, Cliff Yang, Sobhan Mukherjee	Theory and Application of GF(2p) Cellular Automata as On-chip Test Pattern Generator.	VLSI Design	2000	DBLP DOI BibTeX RDF	Extension field, BIST structure, Cellular Automata (CA), VLSI design and RTL, Finite field, DFT, Fault coverage, LFSR
2	Johannes Buchmann, Harald Baier	Efficient Construction of Cryptographically Strong Elliptic Curves.	INDOCRYPT	2000	DBLP DOI BibTeX RDF	class field theory, factoring polynomials, cryptography, finite field, elliptic curve, complex multiplication
2	Huapeng Wu, M. Anwarul Hasan, Ian F. Blake	Highly Regular Architectures for Finite Field Computation Using Redundant Basis.	CHES	1999	DBLP DOI BibTeX RDF