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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

18th International Symposium, AAECC-18, Tarragona, Sapin, June 8-12, 2009, Proceedings

  • Conference proceedings
  • © 2009

Overview

Editors:
  1. Maria Bras-Amorós

    1. Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Tarragona, Spain

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  2. Tom Høholdt

    1. Department of Mathematics, The Technical University of Denmark, Lyngby, Denmark

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 5527)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

Included in the following conference series:

Conference proceedings info: AAECC 2009.

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Table of contents (29 papers)

  1. Front Matter

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  2. Codes

    1. The Order Bound for Toric Codes

      • Peter Beelen, Diego Ruano
      Pages 1-10

    2. An Extension of the Order Bound for AG Codes

      • Iwan Duursma, Radoslav Kirov
      Pages 11-22

    3. Sparse Numerical Semigroups

      • C. Munuera, F. Torres, J. Villanueva
      Pages 23-31

    4. From the Euclidean Algorithm for Solving a Key Equation for Dual Reed–Solomon Codes to the Berlekamp–Massey Algorithm

      • Maria Bras-Amorós, Michael E. O’Sullivan
      Pages 32-42

    5. Rank for Some Families of Quaternary Reed-Muller Codes

      • Jaume Pernas, Jaume Pujol, Mercè Villanueva
      Pages 43-52

    6. Optimal Bipartite Ramanujan Graphs from Balanced Incomplete Block Designs: Their Characterizations and Applications to Expander/LDPC Codes

      • Tom Høholdt, Heeralal Janwal
      Pages 53-64

    7. Simulation of the Sum-Product Algorithm Using Stratified Sampling

      • John Brevik, Michael E. O’Sullivan, Anya Umlauf, Rich Wolski
      Pages 65-72

    8. A Systems Theory Approach to Periodically Time-Varying Convolutional Codes by Means of Their Invariant Equivalent

      • Joan-Josep Climent, Victoria Herranz, Carmen Perea, Virtudes Tomás
      Pages 73-82

    9. On Elliptic Convolutional Goppa Codes

      • José Ignacio Iglesias Curto
      Pages 83-91

    10. The Minimum Hamming Distance of Cyclic Codes of Length 2p s

      • Hakan Özadam, Ferruh Özbudak
      Pages 92-100

    11. There Are Not Non-obvious Cyclic Affine-invariant Codes

      • José Joaquín Bernal, Ángel del Río, Juan Jacobo Simón
      Pages 101-106

    12. On Self-dual Codes over Z 16

      • Kiyoshi Nagata, Fidel Nemenzo, Hideo Wada
      Pages 107-116

  3. Cryptography

    1. A Non-abelian Group Based on Block Upper Triangular Matrices with Cryptographic Applications

      • Rafael Álvarez, Leandro Tortosa, José Vicent, Antonio Zamora
      Pages 117-126

    2. Word Oriented Cascade Jump σ−LFSR

      • Guang Zeng, Yang Yang, Wenbao Han, Shuqin Fan
      Pages 127-136

    3. On Some Sequences of the Secret Pseudo-random Index j in RC4 Key Scheduling

      • Riddhipratim Basu, Subhamoy Maitra, Goutam Paul, Tanmoy Talukdar
      Pages 137-148

    4. Very-Efficient Anonymous Password-Authenticated Key Exchange and Its Extensions

      • SeongHan Shin, Kazukuni Kobara, Hideki Imai
      Pages 149-158

    5. Efficient Constructions of Deterministic Encryption from Hybrid Encryption and Code-Based PKE

      • Yang Cui, Kirill Morozov, Kazukuni Kobara, Hideki Imai
      Pages 159-168

  4. Algebra

    1. Noisy Interpolation of Multivariate Sparse Polynomials in Finite Fields

      • Álvar Ibeas, Arne Winterhof
      Pages 169-178

    2. New Commutative Semifields and Their Nuclei

      • Jürgen Bierbrauer
      Pages 179-185
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  1. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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About this book

This book constitutes the refereed proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-18, held in Tarragona, Spain, in June 2009. The 22 revised full papers presented together with 7 extended absstracts were carefully reviewed and selected from 50 submissions. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra: algebraic algorithms and transforms; sequences and boolean functions.

Editors and Affiliations

  • Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Tarragona, Spain

    Maria Bras-Amorós

  • Department of Mathematics, The Technical University of Denmark, Lyngby, Denmark

    Tom Høholdt

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