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Finite Fields: Theory and Applications
 
Edited by: Gary McGuire University College Dublin, Dublin, Ireland
Gary L. Mullen Pennsylvania State University, University Park, PA
Daniel Panario Carleton University, Ottawa, Ontario, Canada
Igor E. Shparlinski Macquarie University, North Ryde, NSW, Australia
Finite Fields: Theory and Applications
eBook ISBN:  978-0-8218-8197-2
Product Code:  CONM/518.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Finite Fields: Theory and Applications
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Finite Fields: Theory and Applications
Edited by: Gary McGuire University College Dublin, Dublin, Ireland
Gary L. Mullen Pennsylvania State University, University Park, PA
Daniel Panario Carleton University, Ottawa, Ontario, Canada
Igor E. Shparlinski Macquarie University, North Ryde, NSW, Australia
eBook ISBN:  978-0-8218-8197-2
Product Code:  CONM/518.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5182010; 384 pp
    MSC: 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.

    Readership

    Graduate 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 — CCZ-equivalence of single and multi output Boolean functions [ MR 2648538 ]
    • Anne Canteaut and María Naya-Plasencia — 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 ]
    • Mei-Chu 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 torus-based cryptography [ MR 2648545 ]
    • Luis H. Gallardo and Olivier Rahavandrainy — Unitary superperfect binary polynomials [ MR 2648546 ]
    • Joachim von zur Gathen — Shift-invariant 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 ]
    • Ming-Deh Huang and Anand Kumar Narayanan — Folded algebraic-geometric codes from Galois extensions [ MR 2648552 ]
    • Ming-Deh Huang and Wayne Raskind — A multilinear generalization of the Tate pairing [ MR 2648553 ]
    • Jonathan Jedwab and Kai-Uwe 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 ]
    • Wen-Ching 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 norm-trace 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 algebraic-geometry 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 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5182010; 384 pp
MSC: 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.

Readership

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 — CCZ-equivalence of single and multi output Boolean functions [ MR 2648538 ]
  • Anne Canteaut and María Naya-Plasencia — 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 ]
  • Mei-Chu 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 torus-based cryptography [ MR 2648545 ]
  • Luis H. Gallardo and Olivier Rahavandrainy — Unitary superperfect binary polynomials [ MR 2648546 ]
  • Joachim von zur Gathen — Shift-invariant 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 ]
  • Ming-Deh Huang and Anand Kumar Narayanan — Folded algebraic-geometric codes from Galois extensions [ MR 2648552 ]
  • Ming-Deh Huang and Wayne Raskind — A multilinear generalization of the Tate pairing [ MR 2648553 ]
  • Jonathan Jedwab and Kai-Uwe 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 ]
  • Wen-Ching 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 norm-trace 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 algebraic-geometry 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.