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| Product Code: | CONM/523 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
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| eBook ISBN: | 978-0-8218-8202-3 |
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Book DetailsContemporary MathematicsVolume: 523; 2010; 244 ppMSC: 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.
ReadershipGraduate 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
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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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.
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 ]
