eBook ISBN:  9780821881972 
Product Code:  CONM/518.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821881972 
Product Code:  CONM/518.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 518; 2010; 384 ppMSC: Primary 11; 14; 51; 94
This volume contains the proceedings of the Ninth International Conference on Finite Fields and Applications, held in Ireland, July 13–17, 2009. It includes survey papers by all invited speakers as well as selected contributed papers.
Finite fields continue to grow in mathematical importance due to applications in many diverse areas. This volume contains a variety of results advancing the theory of finite fields and connections with, as well as impact on, various directions in number theory, algebra, and algebraic geometry. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.
ReadershipGraduate students and research mathematicians interested in finite fields and applications.

Table of Contents

Articles

Clarice Dias Albuquerque, Reginaldo Palazzo, Jr. and Eduardo Brandani Silva — Construction of new toric quantum codes [ MR 2648534 ]

Hassan Aly, Radwa Marzouk and Wilfried Meidl — On the calculation of the linear complexity of periodic sequences [ MR 2648535 ]

Yves Aubry, Gary McGuire and François Rodier — A few more functions that are not APN infinitely often [ MR 2648536 ]

K. A. Browning, J. F. Dillon, M. T. McQuistan and A. J. Wolfe — An APN permutation in dimension six [ MR 2648537 ]

Lilya Budaghyan and Claude Carlet — CCZequivalence of single and multi output Boolean functions [ MR 2648538 ]

Anne Canteaut and María NayaPlasencia — Structural weaknesses of permutations with a low differential uniformity and generalized crooked functions [ MR 2648539 ]

Francis N. Castro and Ivelisse M. Rubio — Solvability of systems of polynomial equations with some prescribed monomials [ MR 2648540 ]

MeiChu Chang — Character sums in finite fields [ MR 2648541 ]

Pascale Charpin and Gohar M. Kyureghyan — Monomial functions with linear structure and permutation polynomials [ MR 2648542 ]

Stephen D. Cohen — Primitive elements on lines in extensions of finite fields [ MR 2648543 ]

Robert S. Coulter and Pamela Kosick — Commutative semifields of order 243 and 3125 [ MR 2648544 ]

Clément Dunand and Reynald Lercier — Normal elliptic bases and torusbased cryptography [ MR 2648545 ]

Luis H. Gallardo and Olivier Rahavandrainy — Unitary superperfect binary polynomials [ MR 2648546 ]

Joachim von zur Gathen — Shiftinvariant polynomials and Ritt’s Second Theorem [ MR 2648547 ]

Domingo Gomez and Arne Winterhof — Waring’s problem in finite fields with Dickson polynomials [ MR 2648548 ]

S. Gurak — Jacobi sums and irreducible polynomials with prescribed trace and restricted norm [ MR 2648549 ]

Jing Jane He, Daniel Panario and Qiang Wang — A family of binary sequences from interleaved construction and their cryptographic properties [ MR 2648550 ]

Masaaki Homma and Seon Jeong Kim — Sziklai’s conjecture on the number of points of a plane curve over a finite field II [ MR 2648551 ]

MingDeh Huang and Anand Kumar Narayanan — Folded algebraicgeometric codes from Galois extensions [ MR 2648552 ]

MingDeh Huang and Wayne Raskind — A multilinear generalization of the Tate pairing [ MR 2648553 ]

Jonathan Jedwab and KaiUwe Schmidt — The merit factor of binary sequence families constructed from $m$sequences [ MR 2648554 ]

Neal Koblitz and Alfred Menezes — Intractable problems in cryptography [ MR 2648555 ]

WenChing W. Li — Modular curves and coding theory: a survey [ MR 2605806 ]

Gretchen L. Matthews and Justin D. Peachey — Minimal generating sets of Weierstrass semigroups of certain $m$tuples on the normtrace function field [ MR 2648556 ]

Gary McGuire and Alexey Zaytsev — On the zeta functions of an optimal tower of function fields over $\Bbb F_4$ [ MR 2648557 ]

Harald Niederreiter — The asymptotic theory of algebraicgeometry codes [ MR 2648558 ]

Valentina Pepe, Cornelia Rößing and Leo Storme — A spectrum result on maximal partial ovoids of the generalized quadrangle $\scr Q(4,q),\ q$ odd [ MR 2648559 ]

J. Wolfmann — Cyclic codes aspects of bent functions [ MR 2648560 ]


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This volume contains the proceedings of the Ninth International Conference on Finite Fields and Applications, held in Ireland, July 13–17, 2009. It includes survey papers by all invited speakers as well as selected contributed papers.
Finite fields continue to grow in mathematical importance due to applications in many diverse areas. This volume contains a variety of results advancing the theory of finite fields and connections with, as well as impact on, various directions in number theory, algebra, and algebraic geometry. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.
Graduate students and research mathematicians interested in finite fields and applications.

Articles

Clarice Dias Albuquerque, Reginaldo Palazzo, Jr. and Eduardo Brandani Silva — Construction of new toric quantum codes [ MR 2648534 ]

Hassan Aly, Radwa Marzouk and Wilfried Meidl — On the calculation of the linear complexity of periodic sequences [ MR 2648535 ]

Yves Aubry, Gary McGuire and François Rodier — A few more functions that are not APN infinitely often [ MR 2648536 ]

K. A. Browning, J. F. Dillon, M. T. McQuistan and A. J. Wolfe — An APN permutation in dimension six [ MR 2648537 ]

Lilya Budaghyan and Claude Carlet — CCZequivalence of single and multi output Boolean functions [ MR 2648538 ]

Anne Canteaut and María NayaPlasencia — Structural weaknesses of permutations with a low differential uniformity and generalized crooked functions [ MR 2648539 ]

Francis N. Castro and Ivelisse M. Rubio — Solvability of systems of polynomial equations with some prescribed monomials [ MR 2648540 ]

MeiChu Chang — Character sums in finite fields [ MR 2648541 ]

Pascale Charpin and Gohar M. Kyureghyan — Monomial functions with linear structure and permutation polynomials [ MR 2648542 ]

Stephen D. Cohen — Primitive elements on lines in extensions of finite fields [ MR 2648543 ]

Robert S. Coulter and Pamela Kosick — Commutative semifields of order 243 and 3125 [ MR 2648544 ]

Clément Dunand and Reynald Lercier — Normal elliptic bases and torusbased cryptography [ MR 2648545 ]

Luis H. Gallardo and Olivier Rahavandrainy — Unitary superperfect binary polynomials [ MR 2648546 ]

Joachim von zur Gathen — Shiftinvariant polynomials and Ritt’s Second Theorem [ MR 2648547 ]

Domingo Gomez and Arne Winterhof — Waring’s problem in finite fields with Dickson polynomials [ MR 2648548 ]

S. Gurak — Jacobi sums and irreducible polynomials with prescribed trace and restricted norm [ MR 2648549 ]

Jing Jane He, Daniel Panario and Qiang Wang — A family of binary sequences from interleaved construction and their cryptographic properties [ MR 2648550 ]

Masaaki Homma and Seon Jeong Kim — Sziklai’s conjecture on the number of points of a plane curve over a finite field II [ MR 2648551 ]

MingDeh Huang and Anand Kumar Narayanan — Folded algebraicgeometric codes from Galois extensions [ MR 2648552 ]

MingDeh Huang and Wayne Raskind — A multilinear generalization of the Tate pairing [ MR 2648553 ]

Jonathan Jedwab and KaiUwe Schmidt — The merit factor of binary sequence families constructed from $m$sequences [ MR 2648554 ]

Neal Koblitz and Alfred Menezes — Intractable problems in cryptography [ MR 2648555 ]

WenChing W. Li — Modular curves and coding theory: a survey [ MR 2605806 ]

Gretchen L. Matthews and Justin D. Peachey — Minimal generating sets of Weierstrass semigroups of certain $m$tuples on the normtrace function field [ MR 2648556 ]

Gary McGuire and Alexey Zaytsev — On the zeta functions of an optimal tower of function fields over $\Bbb F_4$ [ MR 2648557 ]

Harald Niederreiter — The asymptotic theory of algebraicgeometry codes [ MR 2648558 ]

Valentina Pepe, Cornelia Rößing and Leo Storme — A spectrum result on maximal partial ovoids of the generalized quadrangle $\scr Q(4,q),\ q$ odd [ MR 2648559 ]

J. Wolfmann — Cyclic codes aspects of bent functions [ MR 2648560 ]