Keyword : finite field


A Parallelizable PRF-Based MAC Algorithm: Well beyond the Birthday Bound
Kan YASUDA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2013/01/01
Vol. E96-A  No. 1  pp. 237-241
Type of Manuscript: Special Section LETTER (Special Section on Cryptography and Information Security)
Category: 
Keyword: 
PMACchecksumtweakable PRFcompression functionfinite fieldsystem of linear equationsquery length
  Summary |  Full Text:PDF (171.8KB)

A General Construction of Low Correlation Zone Sequence Sets Based on Finite Fields and Balanced Function
Huijuan ZUO  Qiaoyan WEN  Xiuwen MA  Jie ZHANG 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2012/10/01
Vol. E95-A  No. 10  pp. 1792-1795
Type of Manuscript: LETTER
Category: Cryptography and Information Security
Keyword: 
low correlation zone sequence setsquasi-synchronous code-division multiple access(QS-CDMA)trace functiontwo-tuple balance propertyfinite field
  Summary |  Full Text:PDF (91.4KB)

A Novel Realization of Threshold Schemes over Binary Field Extensions
Jun KURIHARA  Tomohiko UYEMATSU 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/06/01
Vol. E94-A  No. 6  pp. 1375-1380
Type of Manuscript: Special Section LETTER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
threshold schemefinite fieldcompanion matrixexclusive-or
  Summary |  Full Text:PDF (276.1KB)

Irreducible m-Term Polynomial and Its Application to Multiplication over GF(2m)
Yuko OZASA  Masanori HIROTOMO  Masakatu MORII 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/03/01
Vol. E94-A  No. 3  pp. 1045-1048
Type of Manuscript: LETTER
Category: General Fundamentals and Boundaries
Keyword: 
finite fieldmultiplicationpolynomial ring representation
  Summary |  Full Text:PDF (84.7KB)

Trace Representation of Binary Generalized Cyclotomic Sequences with Length pm
Xiaoni DU  Zhixiong CHEN 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2011/02/01
Vol. E94-A  No. 2  pp. 761-765
Type of Manuscript: PAPER
Category: Information Theory
Keyword: 
binary sequencefinite fieldtrace functiongeneralized cyclotomic sequencelinear complexitydefining pair
  Summary |  Full Text:PDF (207.7KB)

A More Compact Representation of XTR Cryptosystem
Masaaki SHIRASE  Dong-Guk HAN  Yasushi HIBINO  Howon KIM  Tsuyoshi TAKAGI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2008/10/01
Vol. E91-A  No. 10  pp. 2843-2850
Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Cryptography and Information Security
Keyword: 
cryptographyXTR cryptosystemfinite fieldefficient implementationcompact representation
  Summary |  Full Text:PDF (262KB)

Reduction Optimal Trinomials for Efficient Software Implementation of the ηT Pairing
Toshiya NAKAJIMA  Tetsuya IZU  Tsuyoshi TAKAGI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2008/09/01
Vol. E91-A  No. 9  pp. 2379-2386
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
pairingsoftware implementationirreducible polynomialreduction optimal trinomialcharacteristic threefinite field
  Summary |  Full Text:PDF (207.4KB)

On the S-Box Architectures with Concurrent Error Detection for the Advanced Encryption Standard
Shee-Yau WU  Huang-Ting YEN 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2006/10/01
Vol. E89-A  No. 10  pp. 2583-2588
Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Cryptography
Keyword: 
AEScomposite fielderror detectionfinite fieldparity checkparity predictionRijndaelS-Box
  Summary |  Full Text:PDF (246KB)

Linear Complexity of Sequences under Different Interpretations
Andrew KLAPPER 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2006/09/01
Vol. E89-A  No. 9  pp. 2254-2257
Type of Manuscript: Special Section PAPER (Special Section on Sequence Design and its Application in Communications)
Category: INVITED
Keyword: 
linear complexitystream cipherfinite fieldpseudorandom sequence
  Summary |  Full Text:PDF (118.7KB)

High-Speed Design of Montgomery Inverse Algorithm over GF(2m)
Ming-Der SHIEH  Jun-Hong CHEN  Chien-Ming WU 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2006/02/01
Vol. E89-A  No. 2  pp. 559-565
Type of Manuscript: PAPER
Category: Information Security
Keyword: 
finite fieldmodular inverse arithmeticMontgomery algorithmcryptography
  Summary |  Full Text:PDF (669.9KB)

Low-Latency Bit-Parallel Systolic Multiplier for Irreducible xm + xn + 1 with GCD(m,n) = 1
Chiou-Yng LEE 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/11/01
Vol. E86-A  No. 11  pp. 2844-2852
Type of Manuscript: PAPER
Category: Algorithms and Data Structures
Keyword: 
bit-parallel systolic multiplierfinite fieldirreducible trinomial
  Summary |  Full Text:PDF (740.8KB)

Efficient Arithmetic in Optimal Extension Fields Using Simultaneous Multiplication
Mun-Kyu LEE  Kunsoo PARK 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2003/05/01
Vol. E86-A  No. 5  pp. 1316-1321
Type of Manuscript: LETTER
Category: Information Security
Keyword: 
cryptographyelliptic curveoptimal extension fieldfinite field
  Summary |  Full Text:PDF (243.8KB)

New 2-Factor Covering Designs for Software Testing
Noritaka KOBAYASHI  Tatsuhiro TSUCHIYA  Tohru KIKUNO 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2002/12/01
Vol. E85-A  No. 12  pp. 2946-2949
Type of Manuscript: LETTER
Category: Algorithms and Data Structures
Keyword: 
factor covering designsoftware testingfinite field
  Summary |  Full Text:PDF (186KB)

VLSI Architectures for High-Speed m-Bit Parallel Inversion in GF(2m) over Standard Basis
Sungsoo CHOI  Kiseon KIM 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2002/11/01
Vol. E85-A  No. 11  pp. 2468-2478
Type of Manuscript: PAPER
Category: VLSI Design Technology and CAD
Keyword: 
finite fieldstandard basismultiplier-first inversion circuit (MFIC)square-first inversion circuit (SFIC)
  Summary |  Full Text:PDF (1.6MB)

Novel Algorithms and VLSI Design for Division over GF(2m)
Chien-Hsing WU  Chien-Ming WU  Ming-Der SHIEH  Yin-Tsung HWANG 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2002/05/01
Vol. E85-A  No. 5  pp. 1129-1139
Type of Manuscript: PAPER
Category: VLSI Design Technology and CAD
Keyword: 
division algorithmbasis matrixStein's algorithmhigh speedfinite field
  Summary |  Full Text:PDF (616KB)

Base-φ Method for Elliptic Curves over OEF
Tetsutaro KOBAYASHI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2000/04/20
Vol. E83-A  No. 4  pp. 679-686
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
elliptic curve cryptosystemscalar multiplicationOEFfinite fieldFrobenius maptable reference method
  Summary |  Full Text:PDF (289.2KB)

The Basis Matrix and Its Application to Finite Field Multiplication
M.Z. WANG 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1997/03/20
Vol. E80-A  No. 3  pp. 610-613
Type of Manuscript: LETTER
Category: Graphs and Networks
Keyword: 
algorithms and data structuresbasesfinite field
  Summary |  Full Text:PDF (209.4KB)

Algebraic Properties of Permutation Polynomials
Eiji OKAMOTO  Wayne AITKEN  George Robert BLAKLEY 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1996/04/20
Vol. E79-A  No. 4  pp. 494-501
Type of Manuscript: Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
finite fieldpermutation polynomialcryptographytranspositioncycle
  Summary |  Full Text:PDF (602.3KB)