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Coding Theory and Applications : 4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014 / edited by Raquel Pinto, Paula Rocha Malonek, Paolo Vettori.

Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online

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Format:
Book
Contributor:
Pinto, Raquel, Editor.
Rocha Malonek, Paula., Editor.
Vettori, Paolo, Editor.
Series:
CIM Series in Mathematical Sciences, 2364-9518 ; 3
Language:
English
Subjects (All):
Algebra.
Dynamics.
Mathematics.
Algorithms.
Coding theory.
Information theory.
Engineering mathematics.
Engineering--Data processing.
Engineering.
Dynamical Systems.
Applications of Mathematics.
Coding and Information Theory.
Mathematical and Computational Engineering Applications.
Local Subjects:
Algebra.
Dynamical Systems.
Applications of Mathematics.
Algorithms.
Coding and Information Theory.
Mathematical and Computational Engineering Applications.
Physical Description:
1 online resource (347 p.)
Edition:
1st ed. 2015.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2015.
Language Note:
English
Summary:
The topics covered in this book, written by researchers at the forefront of their field, represent some of the most relevant research areas in modern coding theory: codes and combinatorial structures, algebraic geometric codes, group codes, quantum codes, convolutional codes, network coding and cryptography. The book includes a survey paper on the interconnections of coding theory with constrained systems, written by an invited speaker, as well as 37 cutting-edge research communications presented at the 4th International Castle Meeting on Coding Theory and Applications (4ICMCTA), held at the Castle of Palmela in September 2014. The event’s scientific program consisted of four invited talks and 39 regular talks by authors from 24 different countries. This conference provided an ideal opportunity for communicating new results, exchanging ideas, strengthening international cooperation, and introducing young researchers into the coding theory community.
Contents:
Part I Invited Talk: 1 Capacity of Higher-Dimensional Constrained Systems: B. Marcus
Part II Communications: 2 From 1D Convolutional Codes to 2D Convolutional Codes of Rate 1/n: P. Almeida et al
3 A Coding-Based Approach to Robust Shortest-Path Routing: Á.I. Barbero and Ø. Ytrehus
4 Constructions of Fast-Decodable Distributed Space-Time Codes: A. Barreal et al
5 Cyclic Generalized Separable (L;G) Codes: S. Bezzateev
6 The One-out-of-k Retrieval Problem and Linear Network Coding: G. Bianchi et al
7 On the Error-Correcting Radius of Folded Reed–Solomon Code Designs: J. Brauchle
8 SPC Product Codes over the Erasure Channel: S.D. Cardell and J. Climent
9 Complementary Dual Codes for Counter-Measures to Side-Channel Attacks: C. Carlet and S. Guilley
10 Input-State-Output Representation of Convolutional Product Codes: J. Climent et al
11 Burst Erasure Correction of 2D Convolutional Codes: J. Climent et al
12 Variations on Minimal Linear Codes: G. Cohenand S. Mesnager
13 Cryptanalysis of Public-Key Cryptosystems that use Subcodes of Algebraic Geometry Codes: A. Couvreur et al
14 Extending Construction X for Quantum Error-Correcting Codes: A. Degwekar et al
15 On the Fan Associated to a Linear Code: N. Dück et al
16 Lattice Encoding of Cyclic Codes from Skew-Polynomial Rings: J. Ducoat and F.Oggier
17 On Extendibility of Additive Code Isometries: S. Dyshko
18 The Extension Theorem with Respect to Symmetrized Weight Compositions: N. ElGarem et al
19 Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes: E. Fornasini et al
20 Shifted de Bruijn Graphs: R. Freij
21 New Examples of Non-Abelian Group Codes: C. García Pillado et al
22 Cyclic Convolutional Codes over Separable Extensions: J. Gómez-Torrecillas et al
23 Reachability of Random Linear Systems over Finite Fields: U. Helmke et al
24 Classification of MDS Codes over Small Alphabets: J.I. Kokkala et al
25 On the Automorphism Groups of the Z2Z4-Linear Hadamard Codes and Their Classification: D.S. Krotov and M. Villanueva
26 Linear Batch Codes: H. Lipmaa and V. Skachek
27 An Extension of the Brouwer-Zimmermann Minimum Weight Algorithm; P. Lisonek and L. Trummer
28 On the Design of Storage Orbit Codes: S. Liu and F. Oggier
29 Hadamard Z2Z4Q8-Codes. Rank and Kernel: P. Montolio and J. Rifà
30 2-Designs and Codes from Simple Groups L3(q) and Higman-Sims Sporadic Simple Group HS: J. Moori and G.F. Randriafanomezantsoa Radohery
31 New Variant of the McEliece Cryptosystem: H. Moufek and K. Guenda
32 Power Decoding of Reed–Solomon Codes Revisited: J.S. R. Nielsen
33 On Fibre Products of Kummer Curves with Many Rational Points over Finite Fields: F. Özbudak et al
34 Hyperbolic Lattices with Complete Labeling Derived from f4g,4gg Tessellations: C. Quilles Queiroz et al
35 On Quasi-Symmetric 2-(64;24;46) Designs Derived from Codes: B.G. Rodrigues and V.D. Tonchev
36 Fractional Repetition and Erasure Batch Codes: N. Silberstein
37 Idempotents Generators for Minimal Cyclic Codes of Length pnq: G. Terra Bastos and M.Guerreiro
38 Reconstruction of Eigenfunctions of q-ary n-Dimensional Hypercube: A. Vasileva.
Notes:
Description based upon print version of record.
Includes bibliographical references and index.
ISBN:
3-319-17296-4

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