简介
This book constitutes the refereed proceedings of the 2nd International Castle Meeting, ISMCTA 2008, Castillo de la Mota, Medina del Campo, Spain, September 2008. The 14 full papers and 5 invited papers presented were carefully reviewed and selected from 34 submissions for inclusion in the book. The papers cover network coding, quantum codes, group codes, codes and combinatorial structures, agebraic-geometry codes, as well as codes and applications.
目录
Preface 4
Organization 5
Table of Contents 6
A Diametric Theorem in Z for Lee and Related Distances 8
Perfect 2-Colorings of Johnson Graphs J(6, 3) and J(7, 3) 18
A Syndrome Formulation of the Interpolation Step in the Guruswami-Sudan Algorithm 27
How to Know if a Linear Code Is a Group Code? 40
Witness Sets 44
On Rank and Kernel of Z4-Linear Codes 53
Classic and Quantum Error Correcting Codes 63
Evaluating the Impact of Information Distortion on Normalized Compression Distance 76
Codes from Expander Graphs 87
Adaptive Soft-Decision Iterative Decoding Using Edge Local Complementation 89
Minimal Trellis Construction for Finite Support Convolutional Ring Codes 102
On the Quasi-cyclicity of the Gray Map Image of a Class of Codes over Galois Rings 114
Algebraic Geometry Codes from Castle Curves 124
Two-Point Codes on Norm-Trace Curves 135
Close Encounters with Boolean Functions of Three Different Kinds 144
Wiretapping Based on Node Corruption over Secure Network Coding: Analysis and Optimization 161
On the Kronecker Product Construction of Completely Transitive q-Ary Codes 170
Quaternary Unequal Error Protection Codes 178
Communication on Inductively Coupled Channels: Overview and Challenges 193
Author Index 203
Organization 5
Table of Contents 6
A Diametric Theorem in Z for Lee and Related Distances 8
Perfect 2-Colorings of Johnson Graphs J(6, 3) and J(7, 3) 18
A Syndrome Formulation of the Interpolation Step in the Guruswami-Sudan Algorithm 27
How to Know if a Linear Code Is a Group Code? 40
Witness Sets 44
On Rank and Kernel of Z4-Linear Codes 53
Classic and Quantum Error Correcting Codes 63
Evaluating the Impact of Information Distortion on Normalized Compression Distance 76
Codes from Expander Graphs 87
Adaptive Soft-Decision Iterative Decoding Using Edge Local Complementation 89
Minimal Trellis Construction for Finite Support Convolutional Ring Codes 102
On the Quasi-cyclicity of the Gray Map Image of a Class of Codes over Galois Rings 114
Algebraic Geometry Codes from Castle Curves 124
Two-Point Codes on Norm-Trace Curves 135
Close Encounters with Boolean Functions of Three Different Kinds 144
Wiretapping Based on Node Corruption over Secure Network Coding: Analysis and Optimization 161
On the Kronecker Product Construction of Completely Transitive q-Ary Codes 170
Quaternary Unequal Error Protection Codes 178
Communication on Inductively Coupled Channels: Overview and Challenges 193
Author Index 203
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