General Theory of Information Transfer and Combinatorics

This book constitutes the thoroughly refereed research papers contributed to a research project on the 'General Theory of Information Transfer and Combinatorics' that was hosted from 2001-2004 at the Center for Interdisciplinary Research (ZIF) of Bielefeld University and also papers of several incorporated meetings thereof. The 63 revised full papers presented were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on probabilistic models, cryptology, pseudo random sequences, quantum models, statistics, probability theory, information measures, error concepts, performance criteria, search, sorting, ordering, planning, language evolution, pattern discovery, reconstructions, network coding, combinatorial models, and a problem section.

Table of Contents:
Rudolf Ahlswede — From 60 to 66.- Information Theory and Some Friendly Neighbors – Ein Wunschkonzert.- Probabilistic Models.- Identification for Sources.- On Identification.- Identification and Prediction.- Watermarking Identification Codes with Related Topics on Common Randomness.- Notes on Conditions for Successive Refinement of Information.- Coding for the Multiple-Access Adder Channel.- Bounds of E-Capacity for Multiple-Access Channel with Random Parameter.- Huge Size Codes for Identification Via a Multiple Access Channel Under a Word-Length Constraint.- Codes with the Identifiable Parent Property and the Multiple-Access Channel.- Cryptology – Pseudo Random Sequences.- Transmission, Identification and Common Randomness Capacities for Wire-Tape Channels with Secure Feedback from the Decoder.- A Simplified Method for Computing the Key Equivocation for Additive-Like Instantaneous Block Encipherers.- Secrecy Systems for Identification Via Channels with Additive-Like Instantaneous Block Encipherer.- Large Families of Pseudorandom Sequences of k Symbols and Their Complexity – Part I.- Large Families of Pseudorandom Sequences of k Symbols and Their Complexity – Part II.- On a Fast Version of a Pseudorandom Generator.- On Pseudorandom Sequences and Their Application.- Authorship Attribution of Texts: A Review.- Quantum Models.- Raum-Zeit und Quantenphysik – Ein Geburtstagsständchen für Hans-Jürgen Treder.- Quantum Information Transfer from One System to Another One.- On Rank Two Channels.- Universal Sets of Quantum Information Processing Primitives and Their Optimal Use.- An Upper Bound on the Rate of Information Transfer by Grover’s Oracle.- A Strong Converse Theorem for Quantum Multiple Access Channels.- Identification Via Quantum Channels in the Presenceof Prior Correlation and Feedback.- Additive Number Theory and the Ring of Quantum Integers.- The Proper Fiducial Argument.- On Sequential Discrimination Between Close Markov Chains.- Estimating with Randomized Encoding the Joint Empirical Distribution in a Correlated Source.- On Logarithmically Asymptotically Optimal Hypothesis Testing for Arbitrarily Varying Sources with Side Information.- On Logarithmically Asymptotically Optimal Testing of Hypotheses and Identification.- Correlation Inequalities in Function Spaces.- Lower Bounds for Divergence in the Central Limit Theorem.- Information Measures – Error Concepts – Performance Criteria.- Identification Entropy.- Optimal Information Measures for Weakly Chaotic Dynamical Systems.- Report on Models of Write–Efficient Memories with Localized Errors and Defects.- Percolation on a k-Ary Tree.- On Concepts of Performance Parameters for Channels.- Appendix: On Common Information and Related Characteristics of Correlated Information Sources.- Search – Sorting – Ordering – Planning.- Q-Ary Ulam-Renyi Game with Constrained Lies.- Search with Noisy and Delayed Responses.- A Kraft–Type Inequality for d–Delay Binary Search Codes.- Threshold Group Testing.- A Fast Suffix-Sorting Algorithm.- Monotonicity Checking.- Algorithmic Motion Planning: The Randomized Approach.- Language Evolution – Pattern Discovery – Reconstructions.- Information Theoretic Models in Language Evolution.- Zipf’s Law, Hyperbolic Distributions and Entropy Loss.- Bridging Lossy and Lossless Compression by Motif Pattern Discovery.- Reverse–Complement Similarity Codes.- On Some Applications of Information Indices in Chemical Graph Theory.- Largest Graphs of Diameter 2 and Maximum Degree 6.- Network Coding.- An Outside Opinion.- Problems inNetwork Coding and Error Correcting Codes Appended by a Draft Version of S. Riis “Utilising Public Information in Network Coding”.- Combinatorial Models.- On the Thinnest Coverings of Spheres and Ellipsoids with Balls in Hamming and Euclidean Spaces.- Appendix: On Set Coverings in Cartesian Product Spaces.- Testing Sets for 1-Perfect Code.- On Partitions of a Rectangle into Rectangles with Restricted Number of Cross Sections.- On Attractive and Friendly Sets in Sequence Spaces.- Remarks on an Edge Isoperimetric Problem.- Appendix: On Edge–Isoperimetric Theorems for Uniform Hypergraphs.- Appendix: Solution of Burnashev’s Problem and a Sharpening of the Erd?s/Ko/Rado Theorem.- Realization of Intensity Modulated Radiation Fields Using Multileaf Collimators.- Sparse Asymmetric Connectors in Communication Networks.- Problem Section.- Finding , the Identification Capacity of the AVC , if Randomization in the Encoding Is Excluded.- Intersection Graphs of Rectangles and Segments.- Cutoff Rate Enhancement.- Some Problems in Organic Coding Theory.- Generalized Anticodes in Hamming Spaces.- Two Problems from Coding Theory.- Private Capacity of Broadcast Channels.- A Short Survey on Upper and Lower Bounds for Multidimensional Zero Sums.- Binary Linear Codes That Are Optimal for Error Correction.- Capacity Problem of Trapdoor Channel.- Hotlink Assignment on the Web.- The Rigidity of Hamming Spaces.- A Conjecture in Finite Fields.- Multiparty Computations in Non-private Environments.- Some Mathematical Problems Related to Quantum Hypothesis Testing.- Designs and Perfect Codes.