Ebook: Coding, Cryptography and Combinatorics

It has long been recognized that there are fascinating connections between cod­ ing theory, cryptology, and combinatorics. Therefore it seemed desirable to us to organize a conference that brings together experts from these three areas for a fruitful exchange of ideas. We decided on a venue in the Huang Shan (Yellow Mountain) region, one of the most scenic areas of China, so as to provide the additional inducement of an attractive location. The conference was planned for June 2003 with the official title Workshop on Coding, Cryptography and Combi­ natorics (CCC 2003). Those who are familiar with events in East Asia in the first half of 2003 can guess what happened in the end, namely the conference had to be cancelled in the interest of the health of the participants. The SARS epidemic posed too serious a threat. At the time of the cancellation, the organization of the conference was at an advanced stage: all invited speakers had been selected and all abstracts of contributed talks had been screened by the program committee. Thus, it was de­ cided to call on all invited speakers and presenters of accepted contributed talks to submit their manuscripts for publication in the present volume. Altogether, 39 submissions were received and subjected to another round of refereeing. After care­ ful scrutiny, 28 papers were accepted for publication.

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Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
On the Secondary Constructions of Resilient and Bent Functions....Pages 3-28
Adaptive Recursive MLD Algorithm Based on Parallel Concatenation Decomposition for Binary Linear Codes....Pages 29-50
Modularity of Asymptotically Optimal Towers of Function Fields....Pages 51-65
A New Correlation Attack on LFSR Sequences with High Error Tolerance....Pages 67-83
LDPC Codes: An Introduction....Pages 85-110
Front Matter....Pages 111-111
The New Implementation Schemes of the TTM Cryptosystem Are Not Secure....Pages 113-127
The Capacity Region of Broadcast Networks with Two Receivers....Pages 129-137
Constructions of Nonbinary Codes Correcting t-Symmetric Errors and Detecting All Unidirectional Errors: Magnitude Error Criterion....Pages 139-152
On the Propagation Criterion of Boolean Functions....Pages 153-168
On Certain Equations over Finite Fields and Cross-Correlations of m-Sequences....Pages 169-176
A Polly Cracker System Based on Satisfiability....Pages 177-192
Combinatorially Designed LDPC Codes Using Zech Logarithms and Congruential Sequences....Pages 193-208
New Constructions of Constant-Weight Codes....Pages 209-222
Good Self-Dual Quasi-Cyclic Codes over Fq, q Odd....Pages 223-226
HFE and BDDs: A Practical Attempt at Cryptanalysis....Pages 227-235
Digital Nets and Coding Theory....Pages 237-246
Constructive Asymptotic Codes with an Improvement on the Tsfasman-Vl?du?-Zink and Xing Bounds....Pages 247-257
Malleability Attacks on Multi-Party Key Agreement Protocols....Pages 259-275
Combinatorial Tableaux in Isoperimetry....Pages 277-288
Front Matter....Pages 289-301
On the Error Exponents of Reliability-Order-Based Decoding Algorithms for Linear Block Codes....Pages 111-111
A Construction of Authentication Codes with Secrecy....Pages 303-317
Selection Method of Test Patterns in Soft-Input and Output Iterative Bounded Distance Decoding Algorithm....Pages 319-330
Deletion Correcting Using Generalized Reed-Solomon Codes....Pages 331-343
A Note on the Linear Complexity Profile of the Discrete Logarithm in Finite Fields....Pages 345-358
Speeding Up RSA and Elliptic Curve Systems by Choosing Suitable Moduli....Pages 359-367
Security Analysis of Three Oblivious Transfer Protocols....Pages 369-383
An Improved Identification Scheme....Pages 385-396
....Pages 397-405