Coding Theory and Applications: 5th International Castle Meeting, ICMCTA 2017, Vihula, Estonia, August 28-31, 2017, Proceedings (Lecture Notes in Computer Science Book 10495)

This book constitutes the refereed proceedings of the 5th International Castle Meeting on Coding Theory and Applications, ICMCTA 2017, held in Vihula, Estonia, in August 2017. The 24 full papers presented were carefully reviewed and selected for inclusion in this volume. The papers cover relevant research areas in modern coding theory, including codes and combinatorial structures, algebraic geometric codes, group codes, convolutional codes, network coding, other applications to communications, and applications of coding theory in cryptography. . Read more... Abstract: The papers cover relevant research areas in modern coding theory, including codes and combinatorial structures, algebraic geometric codes, group codes, convolutional codes, network coding, other applications to communications, and applications of coding theory in cryptography. Read more... Front Matter ....Pages I-X New Bounds for Linear Codes of Covering Radius 2 (Daniele Bartoli, Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini, Fernanda Pambianco)....Pages 1-10 Multidimensional Decoding Networks for Trapping Set Analysis (Allison Beemer, Christine A. Kelley)....Pages 11-20 Erasure Correction and Locality of Hypergraph Codes (Allison Beemer, Carolyn Mayer, Christine A. Kelley)....Pages 21-29 Reed-Muller Codes: Information Sets from Defining Sets (José Joaquín Bernal, Juan Jacobo Simón)....Pages 30-47 Distance Properties of Short LDPC Codes and Their Impact on the BP, ML and Near-ML Decoding Performance (Irina E. Bocharova, Boris D. Kudryashov, Vitaly Skachek, Yauhen Yakimenka)....Pages 48-61 Decoding a Perturbed Sequence Generated by an LFSR (Sara D. Cardell, Joan-Josep Climent, Alicia Roca)....Pages 62-71 A Construction of Orbit Codes (Joan-Josep Climent, Verónica Requena, Xaro Soler-Escrivà)....Pages 72-83 Analysis of Two Tracing Traitor Schemes via Coding Theory (Elena Egorova, Grigory Kabatiansky)....Pages 84-92 Reliable Communication Across Parallel Asynchronous Channels with Glitches (Shlomo Engelberg, Osnat Keren)....Pages 93-106 On the Kernel of \(\mathbb {Z}_{2^s}\)-Linear Hadamard Codes (Cristina Fernández-Córdoba, Carlos Vela, Mercè Villanueva)....Pages 107-117 Random Network Coding over Composite Fields (Olav Geil, Daniel E. Lucani)....Pages 118-127 Bounding the Minimum Distance of Affine Variety Codes Using Symbolic Computations of Footprints (Olav Geil, Ferruh Özbudak)....Pages 128-138 On Binary Matroid Minors and Applications to Data Storage over Small Fields (Matthias Grezet, Ragnar Freij-Hollanti, Thomas Westerbäck, Camilla Hollanti)....Pages 139-153 Absorbing Set Analysis of Codes from Affine Planes (Kathryn Haymaker)....Pages 154-162 Asymptotic Bounds for the Sizes of Constant Dimension Codes and an Improved Lower Bound (Daniel Heinlein, Sascha Kurz)....Pages 163-191 On Quasi-Abelian Complementary Dual Codes (Somphong Jitman, Herbert S. Palines, Romar B. dela Cruz)....Pages 192-206 Relative Generalized Hamming Weights and Extended Weight Polynomials of Almost Affine Codes (Trygve Johnsen, Hugues Verdure)....Pages 207-216 On the Performance of Block Woven Codes Constructions with Row-Wise Permutations (Alexey Kreshchuk, Igor Zhilin, Victor Zyablov)....Pages 217-227 New Lower Bounds on Error-Correcting Ternary, Quaternary and Quinary Codes (Antti Laaksonen, Patric R. J. Östergård)....Pages 228-237 A State Space Approach to Periodic Convolutional Codes (Diego Napp, Ricardo Pereira, Paula Rocha)....Pages 238-247 Column Rank Distances of Rank Metric Convolutional Codes (Diego Napp, Raquel Pinto, Joachim Rosenthal, Filipa Santana)....Pages 248-256 On Minimality of ISO Representation of Basic 2D Convolutional Codes (Raquel Pinto, Rita Simões)....Pages 257-271 A New Construction of Minimum Distance Robust Codes (Hila Rabii, Osnat Keren)....Pages 272-282 Constructions and Bounds for Batch Codes with Small Parameters (Eldho K. Thomas, Vitaly Skachek)....Pages 283-295 Back Matter ....Pages 297-297