Finite fields with applications to coding theory, cryptography and related areas: proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001
Gespeichert in:
| Format: | Tagungsbericht Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London
Springer
2002
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 334 S. |
| ISBN: | 3540439617 |
Internformat
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| 245 | 1 | 0 | |a Finite fields with applications to coding theory, cryptography and related areas |b proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 |c Gary L. Mullen ... ed. |
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Datensatz im Suchindex
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| adam_text | PREFACE THIS VOLUME REPRESENTS THE REFEREED PROCEEDINGS OF THE * SIXTH
INTERNATIONAL CONFERENCE ON FINITE FIELDS AND APPLICATIONS ( FQ 6)* HELD
IN THE CITY OF OAXACA, M´ EXICO, BETWEEN 22*26 MAY 2001. THE CONFERENCE
WAS HOSTED BY THE DEPARTMENTO DO MATEM´ ATICAS OF THE UNIVERSIDAD AUT´
ONOMA METROPOLITANA- IZTAPALAPA, M´ EXICO. THIS EVENT CONTINUED A SERIES
OF BIENNIAL INTERNATIONAL CONFERENCES ON FINITE FIELDS AND APPLICATIONS,
FOLLOWING EARLIER MEETINGS AT THE UNIVERSITY OF NEVADA AT LAS VEGAS
(USA) IN AUGUST 1991 AND AUGUST 1993, THE UNIVERSITY OF GLASGOW
(SCOTLAND) IN JULY 1995, THE UNIVERSITY OF WATERLOO (CANADA) IN AUGUST
1997, AND AT THE UNIVERSITY OF AUGSBURG (GER- MANY) IN AUGUST 1999. THE
ORGANIZING COMMITTEE OF FQ 6 CONSISTED OF DIETER JUNGNICKEL (UNIVERSITY
OF AUGSBURG, GERMANY), NEAL KOBLITZ (UNIVERSITY OF WASHINGTON, USA),
ALFRED MENEZES (UNIVERSITY OF WATERLOO, CANADA), GARY MULLEN (THE
PENNSYLVANIA STATE UNIVERSITY, USA), HARALD NIEDERREITER (NA- TIONAL
UNIVERSITY OF SINGAPORE, SINGAPORE), VERA PLESS (UNIVERSITY OF ILLINOIS,
USA), CARLOS RENTER´ *A (IPN, M´ EXICO), HENNING STICHTENOTH (ESSEN
UNIVER- SITY, GERMANY), AND HORACIO TAPIA-RECILLAS, CHAIR (UNIVERSIDAD
AUT´ ONOMA METROPOLITAN-IZTAPALAPA, M´ EXICO). THE PROGRAM OF THE
CONFERENCE CONSISTED OF FOUR FULL DAYS AND ONE HALF DAY OF SESSIONS,
WITH 7 INVITED PLENARY TALKS, CLOSE TO 60 CONTRIBUTED TALKS, BASIC
COURSES IN FINITE FIELDS, CRYPTOGRAPHY AND CODING THEORY AND A SERIES OF
LECTURES AT LOCAL EDUCATIONAL INSTITUTIONS. FINITE FIELDS HAVE AN
INHERENTLY FASCINATING STRUCTURE AND THEY ARE IM- PORTANT TOOLS IN
DISCRETE MATHEMATICS. THEIR APPLICATIONS RANGE FROM COM- BINATORIAL
DESIGN THEORY, FINITE GEOMETRIES, AND ALGEBRAIC GEOMETRY TO CODING
THEORY, CRYPTOLOGY, AND SCIENTIFIC COMPUTING. A PARTICULARLY FRUITFUL
ASPECT IS THE INTERPLAY BETWEEN THEORY AND APPLICATIONS WHICH HAS LED TO
MANY NEW PERSPECTIVES IN RESEARCH ON FINITE FIELDS. THIS INTERPLAY HAS
BEEN A DOMINANT THEME IN EARLIER F Q CONFERENCES AND WAS VERY MUCH IN
EVIDENCE AT FQ 6. AP- PLIED OR APPLICATIONS-ORIENTED TOPICS ACCOUNTED
FOR A SIGNIFICANT PART OF THE PROGRAM. THESE PROCEEDINGS REFLECT THE
WIDE VARIETY OF TOPICS REPRESENTED AT THE CON- FERENCE. MOST INVITED
TALKS AND A GOOD PROPORTION OF THE CONTRIBUTED TALKS ARE ON PERMANENT
RECORD HERE. ALL CONTRIBUTED TALKS WERE SCREENED BEFORE THE CONFERENCE
AND ALL FULL PAPERS WERE CAREFULLY REFEREED. WE WOULD LIKE TO TAKE THIS
OPPORTUNITY TO THANK THE MEMBERS OF THE ORGANIZING COMMITTEE AND ALL
REFEREES WHO HELPED IN THESE TASKS. THESE COLLEAGUES CONTRIBUTED ENOR-
MOUSLY TO THE QUALITY OF THE CONFERENCE PRESENTATIONS AND TO
GUARANTEEING HIGH STANDARDS FOR THESE PROCEEDINGS. WE GREATLY APPRECIATE
THE GENEROUS FINANCIAL SUPPORT RECEIVED FOR THE CON- FERENCE. A FAIR
PORTION OF THE FUNDS WERE PROVIDED BY A GRANT FROM THE CONSEJO VI
PREFACE NACIONAL DE CIENCIA Y TECNOLOG´ *A (CONACYT), M´ EXICO AND FROM
VARIOUS OF- FICES OF THE HOST INSTITUTION. WE ALSO THANK UNIVERSIDAD
BENITO JU´ AREZ DE OAXACA, INSTITUTO TECNOL´ OGICO DE OAXACA, DIRECCI´
ON GENERAL DE SERVICIOS DO C´ OMPUTO ACAD´ EMICO-UNAM, INSTITUTO POLIT´
ECNICO NACIONAL, SOCIEDAD MATEM´ ATICA MEXICANA, CERTICOM CORP.,
INSTITUTE OF COMBINATORICS AND AP- PLICATIONS, AND RED DE CRIPTOLOG´ *A
(CONACYT-UAM) FOR DIVERSE KINDS OF SUPPORT. WE ARE GRATEFUL TO VARIOUS
OFFICES OF THE STATE OF OAXACA WHO HELPED WITH ADDITIONAL FUNDS AND
ORGANIZATIONAL ISSUES. THANKS ARE ALSO DUE TO THE GOV- ERNOR OF THE
STATE OF OAXACA, WHO GAVE A RECEPTION FOR THE PARTICIPANTS IN THE
SPLENDID SETTING OF THE CENTRO CULTURAL SANTO DOMINGO IN THE CITY OF
OAX- ACA. LAST BUT NOT LEAST, THE HIGHLY EFFICIENT AND FRIENDLY MANNER
IN WHICH THE CONFERENCE TOOK PLACE WOULD NOT HAVE BEEN POSSIBLE WITHOUT
THE ENTHUSIASM AND HARD WORK BY THE ASSISTANTS, SECRETARIES AND STUDENTS
WHO SAW TO MANY DETAILS INVOLVED IN SUCH A MAJOR EVENT; WE ARE GRATEFUL
TO ALL OF THEM. REGARDING THE PRESENT PROCEEDINGS, WE THANK DR. MARTIN
PETERS OF SPRIN- GER-VERLAG WHO GAVE US THE OPPORTUNITY TO EDIT THIS
VOLUME WITH A TOP PUBLISHER AND IN AN ATTRACTIVE FORM. WORKING WITH HIM
AND ALL THE STAFF AT SPRINGER-VERLAG IS ALWAYS A PLEASURE. FINALLY, WE
ARE PLEASED TO CONFIRM THAT THE FQ SERIES WILL CONTINUE WITH FQ 7 IN
TOULOUSE, FRANCE IN MAY 2003. WE EXPECT ANOTHER LIVELY AND STIM- ULATING
MEETING THERE, WHICH SHOULD, LIKE THE PREVIOUS CONFERENCES, SERVE AS AN
IMPORTANT MEETING PLACE FOR THEORETICAL AS WELL AS APPLIED ASPECTS OF
FINITE FIELDS. WE HOPE TO SEE YOU THERE! MAY 2002 HORACIO TAPIA-RECILLAS
GARY MULLEN HENNING STICHTENOTH CONTENTS COMMUTATIVE SEMIFIELDS OF RANK
2 OVER THEIR MIDDLE NUCLEUS . . . . 1 SIMEON BALL AND MICHEL LAVRAUW A
RAO-NAM LIKE CRYPTOSYSTEM WITH PRODUCT CODES . . . . . . . . . . 22 ´
ANGELA I. BARBERO AND JUAN G. TENA PSEUDORANDOM SEQUENCES FROM ELLIPTIC
CURVES . . . . . . . . . . . . 37 P.H.T. BEELEN AND J.M. DOUMEN ON
CRYPTOGRAPHIC COMPLEXITY OF BOOLEAN FUNCTIONS . . . . . . . . . 53
CLAUDE CARLET ON DIVISIBILITY OF EXPONENTIAL SUMS OVER FINITE FIELDS OF
CHARACTERISTIC 2 . . . . . . . . . . . . . . . . . . . . . . . . . . .
70 F.N. CASTRO AND O. MORENO VALUE SETS OF POLYNOMIALS OVER FINITE
FIELDS . . . . . . . . . . . . . 80 PINAKI DAS AND GARY L. MULLEN BOUNDS
FOR COMPLETELY DECOMPOSABLE JACOBIANS . . . . . . . . . . . 86 IWAN
DUURSMA AND JEAN-YVES ENJALBERT TWIN IRREDUCIBLE POLYNOMIALS OVER FINITE
FIELDS . . . . . . . . . . . . 94 G. EFFINGER, KENNETH H. HICKS, AND
GARY L. MULLEN INVARIANTS OF FINITE GROUPS OVER FINITE FIELDS: RECENT
PROGRESS AND NEW CONJECTURES . . . . . . . . . . . . . . . . . 112 PETER
FLEISCHMANN THE GROUP LAW ON ELLIPTIC CURVES ON HESSE FORM . . . . . . .
. . . . 123 HEGE REITHE FRIUM ON CURVES WITH MANY RATIONAL POINTS OVER
FINITE FIELDS . . . . . . . 152 ARNALDO GARCIA VHDL SPECIFICATION OF A
FPGA TO DIVIDE AND MULTIPLY IN GF (2 M ) . . 164 MARIO ALBERTO GARC´
*A-MART´ *NEZ AND GUILLERMO MORALES-LUNA DISTRIBUTION OF IRREDUCIBLE
POLYNOMIALS OVER F 2 . . . . . . . . . . . . 177 KENNETH H. HICKS, GARY
L. MULLEN, AND IKURO SATO VIII CONTENTS ARITHMETIC ON A FAMILY OF PICARD
CURVES . . . . . . . . . . . . . . . 187 ROLF-PETER HOLZAPFEL AND FLORIN
NICOLAE NEW QUANTUM ERROR-CORRECTING CODES FROM HERMITIAN
SELF-ORTHOGONAL CODES OVER GF(4) . . . . . . . . . . . . . . . . . . 209
JON-LARK KIM A NOTE ON THE COUNTER-EXAMPLE OF PATTERSON*WIEDEMANN . . .
. . . 214 PHILIPPE LANGEVIN AND JEAN-PIERRE ZANOTTI CONTINUED FRACTIONS
FOR CERTAIN ALGEBRAIC POWER SERIES OVER A FINITE FIELD . . . . . . . . .
. . . . . . . . . . . . . . . . . . 220 ALAIN LASJAUNIAS LINEAR
COMPLEXITY AND POLYNOMIAL DEGREE OF A FUNCTION OVER A FINITE FIELD . . .
. . . . . . . . . . . . . . . . . . . . . . . 229 WILFRIED MEIDL AND
ARNE WINTERHOF PRIMITIVE ROOTS IN CUBIC EXTENSIONS OF FINITE FIELDS . .
. . . . . . . 239 DONALD MILLS AND GAVIN MCNAY ON POLYNOMIAL FAMILIES IN
N INDETERMINATES OVER FINITE PRIME FIELDS COMING FROM PLANAR FUNCTIONS .
. . . . . . . . . . . . . . . . . . . 251 NOBUO NAKAGAWA CRYPTANALYSIS
OF THE SAKAZAKI-OKAMOTO-MAMBO ID-BASED KEY DISTRIBUTION SYSTEM OVER
ELLIPTIC CURVES . . . . . . . . . . . . . 263 MINGHUA QU, DOUG STINSON,
AND SCOTT VANSTONE DIFFERENTIAL AND LINEAR DISTRIBUTIONS OF SUBSTITUTION
BOXES FOR SYMMETRIC-KEY CRYPTOSYSTEMS . . . . . . . . . . . . . . . . .
. 270 PETER ROELSE EXPONENTIAL SUMS AND LATTICE REDUCTION: APPLICATIONS
TO CRYPTOGRAPHY . . . . . . . . . . . . . . . . . . . . . 286 IGOR E.
SHPARLINSKI AN ALTERNATE CONSTRUCTION OF THE BERLEKAMP SUBALGEBRA . . .
. . . . 299 GREG STEIN ON THE F P -LINEARITY OF THE GENERALIZED GRAY MAP
IMAGE OF A Z P K +1 -LINEAR CODE . . . . . . . . . . . . . . . . . . . .
. . . . 306 H. TAPIA-RECILLAS AND G. VEGA CONTENTS IX CONSTRUCTION OF
MODULAR CURVES AND COMPUTATION OF THEIR CARDINALITY OVER F P . . . . . .
. . . . . . . . . . . . . . . . 313 C´ EDRIC TAVERNIER ASYMPTOTIC
PROPERTIES OF GLOBAL FIELDS . . . . . . . . . . . . . . . . 328 M. A.
TSFASMAN AUTHOR INDEX . . . . . . . . . . . . . . . . . . . . . . . . .
. . . 335
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| spelling | Finite fields with applications to coding theory, cryptography and related areas proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 Gary L. Mullen ... ed. Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London Springer 2002 IX, 334 S. txt rdacontent n rdamedia nc rdacarrier Corps finis - Congrès Cryptographie - Congrès Transcodage - Congrès Coding theory Congresses Cryptography Congresses Finite fields (Algebra) Congresses Galois-Feld (DE-588)4155896-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2001 Oaxaca gnd-content Galois-Feld (DE-588)4155896-0 s DE-604 Mullen, Gary L. 1947- Sonstige (DE-588)123964059 oth International Conference on Finite Fields and Applications 6 2001 Oaxaca de Juárez Sonstige (DE-588)10041913-6 oth SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009973283&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Finite fields with applications to coding theory, cryptography and related areas proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 Corps finis - Congrès Cryptographie - Congrès Transcodage - Congrès Coding theory Congresses Cryptography Congresses Finite fields (Algebra) Congresses Galois-Feld (DE-588)4155896-0 gnd |
| subject_GND | (DE-588)4155896-0 (DE-588)1071861417 |
| title | Finite fields with applications to coding theory, cryptography and related areas proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 |
| title_auth | Finite fields with applications to coding theory, cryptography and related areas proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 |
| title_exact_search | Finite fields with applications to coding theory, cryptography and related areas proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 |
| title_full | Finite fields with applications to coding theory, cryptography and related areas proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 Gary L. Mullen ... ed. |
| title_fullStr | Finite fields with applications to coding theory, cryptography and related areas proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 Gary L. Mullen ... ed. |
| title_full_unstemmed | Finite fields with applications to coding theory, cryptography and related areas proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 Gary L. Mullen ... ed. |
| title_short | Finite fields with applications to coding theory, cryptography and related areas |
| title_sort | finite fields with applications to coding theory cryptography and related areas proceedings of the sixth international conference on finite fields and applications held at oaxaca mexico may 21 25 2001 |
| title_sub | proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21 - 25, 2001 |
| topic | Corps finis - Congrès Cryptographie - Congrès Transcodage - Congrès Coding theory Congresses Cryptography Congresses Finite fields (Algebra) Congresses Galois-Feld (DE-588)4155896-0 gnd |
| topic_facet | Corps finis - Congrès Cryptographie - Congrès Transcodage - Congrès Coding theory Congresses Cryptography Congresses Finite fields (Algebra) Congresses Galois-Feld Konferenzschrift 2001 Oaxaca |
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