Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Error-Correcting Codes, Finite Geometries and Cryptography
 
Edited by: Aiden A. Bruen University of Calgary, Calgary, AB, Canada
David L. Wehlau Royal Military College of Canada, Kingston, ON, Canada
Front Cover for Error-Correcting Codes, Finite Geometries and Cryptography
Available Formats:
Softcover ISBN: 978-0-8218-4956-9
Product Code: CONM/523
244 pp 
List Price: $88.00
MAA Member Price: $79.20
AMS Member Price: $70.40
Electronic ISBN: 978-0-8218-8202-3
Product Code: CONM/523.E
244 pp 
List Price: $83.00
MAA Member Price: $74.70
AMS Member Price: $66.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $132.00
MAA Member Price: $118.80
AMS Member Price: $105.60
Front Cover for Error-Correcting Codes, Finite Geometries and Cryptography
Click above image for expanded view
  • Front Cover for Error-Correcting Codes, Finite Geometries and Cryptography
  • Back Cover for Error-Correcting Codes, Finite Geometries and Cryptography
Error-Correcting Codes, Finite Geometries and Cryptography
Edited by: Aiden A. Bruen University of Calgary, Calgary, AB, Canada
David L. Wehlau Royal Military College of Canada, Kingston, ON, Canada
Available Formats:
Softcover ISBN:  978-0-8218-4956-9
Product Code:  CONM/523
244 pp 
List Price: $88.00
MAA Member Price: $79.20
AMS Member Price: $70.40
Electronic ISBN:  978-0-8218-8202-3
Product Code:  CONM/523.E
244 pp 
List Price: $83.00
MAA Member Price: $74.70
AMS Member Price: $66.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $132.00
MAA Member Price: $118.80
AMS Member Price: $105.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5232010
    MSC: Primary 05; 94; 51; 81; 68;

    This interdisciplinary volume contains papers from both a conference and special session on Error-Control Codes, Information Theory and Applied Cryptography. The conference was held at the Fields Institute in Toronto, ON, Canada from December 5–6, 2007, and the special session was held at the Canadian Mathematical Society's winter meeting in London, ON, Canada from December 8–10, 2007.

    The volume features cutting-edge theoretical results on the Reed–Muller and Reed–Solomon codes, classical linear codes, codes from nets and block designs, LDPC codes, perfect quantum and orthogonal codes, iterative decoding, magnetic storage and digital memory devices, and MIMO channels. There are new contributions on privacy reconciliation, resilient functions, cryptographic hash functions, and new work on quantum coins. Related original work in finite geometries concerns two-weight codes coming from partial spreads, (0,1) matrices with forbidden configurations, André embeddings, and representations of projective spaces in affine planes.

    Great care has been taken to ensure that high expository standards are met by the papers in this volume. Accordingly, the papers are written in a user-friendly format. The hope is that this volume will be of interest and of benefit both to the experienced and to newcomers alike.

    Readership

    Graduate students and research mathematicians interested in information theory, finite geometries, codes, or cryptography.

  • Table of Contents
     
     
    • Cryptography [ MR 2742541 ]
    • Charles J. Colbourn and Jose Torres-Jimenez - Heterogeneous hash families and covering arrays [ MR 2766009 ]
    • William J. Martin and Berk Sunar - Resilient functions: just how resilient are they? [ MR 2766010 ]
    • Michele Mosca and Douglas Stebila - Quantum coins [ MR 2766011 ]
    • Joseph R. Oldford and David L. Wehlau - Optimal block lengths for secret key distillation [ MR 2766012 ]
    • Finite Geometries [ MR 2742541 ]
    • T. L. Alderson - Hyperconics and multiple weight codes for OCDMA [ MR 2766013 ]
    • Aiden A. Bruen - Blocking sets and large transversal-free systems of mutually orthogonal Latin squares [ MR 2766014 ]
    • Aiden A. Bruen, Trevor C. Bruen and Robert Silverman - Incidence matrices with forbidden configurations [ MR 2766015 ]
    • Maurizio Iurlo and Sandro Rajola - A new method to construct maximal partial spreads of smallest size in ${\rm PG}(3,q)$ [ MR 2766016 ]
    • Maria Scafati Tallini - A representation of the projective space $P(r,k)$ on the affine plane $A(2,k)$ and the geometric equivalence between the Veblen configuration in $P(3,k)$ and the Desargues configuration in $A(2,k)$ [ MR 2766017 ]
    • J. A. Thas and H. Van Maldeghem - André embeddings of affine planes [ MR 2766018 ]
    • Codes [ MR 2742541 ]
    • Alexander Barg and Punarbasu Purkayastha - Near MDS poset codes and distributions [ MR 2766019 ]
    • Jürgen Bierbrauer, D. Bartoli, S. Marcugini and F. Pambianco - Geometric constructions of quantum codes [ MR 2766020 ]
    • A. Bogatyrev, M. Hassner and D. Yarmolich - An exact analytical-expression for the read sensor signal in magnetic data storage channels [ MR 2766021 ]
    • Aiden A. Bruen - Blocking sets and low-weight codewords in the generalized Reed-Muller codes [ MR 2766082 ]
    • Vincent C. Gaudet - Low-power LDPC decoding by exploiting the fault-tolerance of the sum-product algorithm [ MR 2766083 ]
    • Olof Heden - On perfect codes over non prime power alphabets [ MR 2766084 ]
    • Michel Lavrauw, Leo Storme and Geertrui Van de Voorde - Linear codes from projective spaces [ MR 2766085 ]
    • T. P. McDonough and V. C. Mavron - The dimension of the code of a strongly resolvable design [ MR 2766086 ]
    • G. Eric Moorhouse - Codes of nets and projective planes [ MR 2766087 ]
    • C. Schlegel - Minimum output symbol error variance of forward error control codes [ MR 2766088 ]
    • Dmitri Truhachev and Mandana Rahbari - Multi-stream information transmission in random power attenuation environments [ MR 2766089 ]
  • Additional Material
     
     
  • Request Review Copy
  • Get Permissions
Volume: 5232010
MSC: Primary 05; 94; 51; 81; 68;

This interdisciplinary volume contains papers from both a conference and special session on Error-Control Codes, Information Theory and Applied Cryptography. The conference was held at the Fields Institute in Toronto, ON, Canada from December 5–6, 2007, and the special session was held at the Canadian Mathematical Society's winter meeting in London, ON, Canada from December 8–10, 2007.

The volume features cutting-edge theoretical results on the Reed–Muller and Reed–Solomon codes, classical linear codes, codes from nets and block designs, LDPC codes, perfect quantum and orthogonal codes, iterative decoding, magnetic storage and digital memory devices, and MIMO channels. There are new contributions on privacy reconciliation, resilient functions, cryptographic hash functions, and new work on quantum coins. Related original work in finite geometries concerns two-weight codes coming from partial spreads, (0,1) matrices with forbidden configurations, André embeddings, and representations of projective spaces in affine planes.

Great care has been taken to ensure that high expository standards are met by the papers in this volume. Accordingly, the papers are written in a user-friendly format. The hope is that this volume will be of interest and of benefit both to the experienced and to newcomers alike.

Readership

Graduate students and research mathematicians interested in information theory, finite geometries, codes, or cryptography.

  • Cryptography [ MR 2742541 ]
  • Charles J. Colbourn and Jose Torres-Jimenez - Heterogeneous hash families and covering arrays [ MR 2766009 ]
  • William J. Martin and Berk Sunar - Resilient functions: just how resilient are they? [ MR 2766010 ]
  • Michele Mosca and Douglas Stebila - Quantum coins [ MR 2766011 ]
  • Joseph R. Oldford and David L. Wehlau - Optimal block lengths for secret key distillation [ MR 2766012 ]
  • Finite Geometries [ MR 2742541 ]
  • T. L. Alderson - Hyperconics and multiple weight codes for OCDMA [ MR 2766013 ]
  • Aiden A. Bruen - Blocking sets and large transversal-free systems of mutually orthogonal Latin squares [ MR 2766014 ]
  • Aiden A. Bruen, Trevor C. Bruen and Robert Silverman - Incidence matrices with forbidden configurations [ MR 2766015 ]
  • Maurizio Iurlo and Sandro Rajola - A new method to construct maximal partial spreads of smallest size in ${\rm PG}(3,q)$ [ MR 2766016 ]
  • Maria Scafati Tallini - A representation of the projective space $P(r,k)$ on the affine plane $A(2,k)$ and the geometric equivalence between the Veblen configuration in $P(3,k)$ and the Desargues configuration in $A(2,k)$ [ MR 2766017 ]
  • J. A. Thas and H. Van Maldeghem - André embeddings of affine planes [ MR 2766018 ]
  • Codes [ MR 2742541 ]
  • Alexander Barg and Punarbasu Purkayastha - Near MDS poset codes and distributions [ MR 2766019 ]
  • Jürgen Bierbrauer, D. Bartoli, S. Marcugini and F. Pambianco - Geometric constructions of quantum codes [ MR 2766020 ]
  • A. Bogatyrev, M. Hassner and D. Yarmolich - An exact analytical-expression for the read sensor signal in magnetic data storage channels [ MR 2766021 ]
  • Aiden A. Bruen - Blocking sets and low-weight codewords in the generalized Reed-Muller codes [ MR 2766082 ]
  • Vincent C. Gaudet - Low-power LDPC decoding by exploiting the fault-tolerance of the sum-product algorithm [ MR 2766083 ]
  • Olof Heden - On perfect codes over non prime power alphabets [ MR 2766084 ]
  • Michel Lavrauw, Leo Storme and Geertrui Van de Voorde - Linear codes from projective spaces [ MR 2766085 ]
  • T. P. McDonough and V. C. Mavron - The dimension of the code of a strongly resolvable design [ MR 2766086 ]
  • G. Eric Moorhouse - Codes of nets and projective planes [ MR 2766087 ]
  • C. Schlegel - Minimum output symbol error variance of forward error control codes [ MR 2766088 ]
  • Dmitri Truhachev and Mandana Rahbari - Multi-stream information transmission in random power attenuation environments [ MR 2766089 ]
Please select which format for which you are requesting permissions.