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E-raamat: Coding Theory and Applications: 4th International Castle Meeting, Palmela Castle, Portugal, September 15-18, 2014

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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.

Part I Invited Talk
Capacity of Higher-Dimensional Constrained Systems
3(22)
Brian Marcus
Part II Communications
From 1D Convolutional Codes to 2D Convolutional Codes of Rate 1/n
25(10)
Paulo Almeida
Diego Napp
Raquel Pinto
A Coding-Based Approach to Robust Shortest-Path Routing
35(8)
Angela I. Barbero
Øyvind Ytrehus
Constructions of Fast-Decodable Distributed Space-Time Codes
43(10)
Amaro Barreal
Camilla Holland
Nadya Markin
Cyclic Generalized Separable (L, G) Codes
53(8)
Sergey Bezzateev
The One-Out-of-k Retrieval Problem and Linear Network Coding
61(16)
Giuseppe Bianchi
Lorenzo Bracciale
Keren Censor-Hillel
Andrea Lincoln
Muriel Medard
On the Error-Correcting Radius of Folded Reed--Solomon Code Designs
77(10)
Joschi Brauchle
SPC Product Codes over the Erasure Channel
87(10)
Sara D. Cardell
Joan-Josep Climent
Complementary Dual Codes for Counter-Measures to Side-Channel Attacks
97(10)
Claude Carlet
Sylvain Guilley
Input-State-Output Representation of Convolutional Product Codes
107(8)
Joan-Josep Climent
Victoria Herranz
Carmen Perea
Burst Erasure Correction of 2D Convolutional Codes
115(10)
Joan-Josep Climent
Diego Napp
Raquel Pinto
Rita Simoes
Variations on Minimal Linear Codes
125(8)
Gerard Cohen
Sihem Mesnager
Cryptanalysis of Public-Key Cryptosystems That Use Subcodes of Algebraic Geometry Codes
133(8)
Alain Couvreur
Irene Marquez-Corbella
Ruud Pellikaan
Extending Construction X for Quantum Error-Correcting Codes
141(12)
Akshay Degwekar
Kenza Guenda
T. Aaron Gulliver
On the Fan Associated to a Linear Code
153(8)
Natalia Duck
Irene Marquez-Corbella
Edgar Martinez-Moro
Lattice Encoding of Cyclic Codes from Skew-Polynomial Rings
161(8)
Jerome Ducoat
Frederique Oggier
On Extendibility of Additive Code Isometries
169(8)
Serhii Dyshko
The Extension Theorem with Respect to Symmetrized Weight Compositions
177(8)
Noha ElGarem
Nefertiti Megahed
Jay A. Wood
Minimal Realizations of Syndrome Formers of a Special Class of 2D Codes
185(10)
Ettore Fornasini
Telma Pinho
Raquel Pinto
Paula Rocha
Shifted de Bruijn Graphs
195(8)
Ragnar Freij
New Examples of Non-Abelian Group Codes
203(6)
Cristina Garcia Pillado
Santos Gonzalez
Victor Markov
Consuelo Martinez
Alexandr Nechaev
Cyclic Convolutional Codes over Separable Extensions
209(8)
Jose Gomez-Torrecillas
F.J. Lobillo
Gabriel Navarro
Reachability of Random Linear Systems over Finite Fields
217(10)
Uwe Helmke
Jens Jordan
Julia Lieb
Classification of MDS Codes over Small Alphabets
227(10)
Janne I. Kokkala
Denis S. Krotov
Patric R.J. Ostergard
On the Automorphism Groups of the Z2Z4-Linear Hadamard Codes and Their Classification
237(8)
Denis S. Krotov
Merce Villanueva
Linear Batch Codes
245(10)
Helger Lipmaa
Vitaly Skachek
An Extension of the Brouwer-Zimmermann Minimum Weight Algorithm
255(8)
Petr Lisonek
Layla Trummer
On the Design of Storage Orbit Codes
263(10)
Shiqiu Liu
Frederique Oggier
Hadamard Z2Z4Q8-Codes: Rank and Kernel
273(8)
Pere Montolio
Josep Rifa
2-Designs and Codes from Simple Groups L3(q) and Higman-Sims Sporadic Simple Group HS
281(10)
Jamshid Moori
Georges F. Randriafanomezantsoa Radohery
New Variant of the McEliece Cryptosystem
291(6)
Hamza Moufek
Kenza Guenda
Power Decoding of Reed--Solomon Codes Revisited
297(10)
Johan S.R. Nielsen
On Fibre Products of Kummer Curves with Many Rational Points over Finite Fields
307(10)
Ferruh Ozbudak
Burcu Gulmez Temur
Oguz Yayla
Hyperbolic Lattices with Complete Labeling Derived from {4g, 4g} Tessellations
317(10)
Catia Quilles Queiroz
Cintya Benedito
Jose Carmelo Interlando
Reginaldo Palazzo Jr.
On Quasi-symmetric 2-(64, 24, 46) Designs Derived from Codes
327(8)
Bernardo G. Rodrigues
Vladimir D. Tonchev
Fractional Repetition and Erasure Batch Codes
335(10)
Natalia Silberstein
Idempotents Generators for Minimal Cyclic Codes of Length pnq
345(8)
Gustavo Terra Bastos
Marines Guerreiro
Reconstruction of Eigenfunctions of q-ary n-Dimensional Hypercube
353(10)
Anastasia Vasil'eva
Author Index 363