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These are the proceedings of the Workshop on Sequences, Subsequences, and Consequences that was held at the University of Southern California (USC), May 31 - June 2, 2007. There were three one-hour Keynote lectures, 16 invited talks of up to 45 minutes each, and 1 “contributed” paper. The theory of sequences from discrete symbol alphabets has found practical applications in many areas of coded communications and in cryptography, - cluding: signal patterns for use in radar and sonar; spectral spreading sequences for CDMA wireless telephony; key streams for direct sequence stream-cipher cryptography; and a variety of forward-error-correctingcodes. The workshopwasdesigned to bring leading researcherson “sequences”from aroundtheworldtopresenttheirlatestresults,interchangeinformationwithone another, and especially to inform the larger audience of interested participants, includingfaculty,researchers,scholars,andstudentsfromnumerousinstitutions, as well as the readers of these proceedings, about recent developments in this important ?eld. There were invited speakers from Canada, China, Germany, India, Israel, Norway, Puerto Rico, and South Korea, in addition to those from the USA. Support for the workshop was generously provided by the O?ce of the Dean of the Viterbi School of Engineering, by the Center for Communications Research (CCR-La Jolla), and by the United States National Science Foundation (NSF). This support is hereby gratefully acknowledged.

Coding theory --- Sequences (Mathematics) --- Sequential machine theory --- Data encryption (Computer science) --- Codage --- Suites (Mathématiques) --- Théorie des machines séquentielles --- Chiffrement (Informatique) --- Congresses. --- Congrès --- Algebra --- Mathematics --- Physical Sciences & Mathematics --- Computer science. --- Computer communication systems. --- Data encryption (Computer science). --- Coding theory. --- Computers. --- Computer science --- Computer Science. --- Theory of Computation. --- Coding and Information Theory. --- Data Encryption. --- Discrete Mathematics in Computer Science. --- Computer Communication Networks. --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Signal theory (Telecommunication) --- Computer programming --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Cryptography --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Network computers --- Informatics --- Science --- Distributed processing --- Information theory. --- Computational complexity. --- Cryptology. --- Complexity, Computational --- Communication theory --- Communication --- Computer science—Mathematics. --- Finite automata --- Finite state machines (Machine theory) --- Electronic digital computers --- Mathematical sequences --- Numerical sequences

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Telecommunication --- Electronic digital computers --- Astronautics --- Télécommunications --- Ordinateurs --- Communication systems

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Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this fully revised and expanded edition of his landmark book, the author takes a new generation of readers on a mathematical journey into the world of the deceptively simple polyomino. Golomb incorporates important, recent developments, and poses problems, inviting the reader to play with and develop an understanding of the extraordinary properties of polyominoes.

Polyominoes. --- Combinatorial designs and configurations --- Ashbacher, Charles. --- Bird, David. --- Burnside, William. --- Conway, John H. --- Dahlke, Karl A. --- Doig, Alison. --- Earnshaw, Spencer. --- Eden, Murray. --- Fletcher, John G. --- Fraenkel, Aviezri. --- Gale, David. --- Gordon, Basil. --- Harary, Frank. --- Haselgrove, Jenifer. --- Jones, Kathy. --- Looger, Loren. --- Lunnon, W. F. --- Manvel, Bennet. --- Moore, E. F. --- Orman, Hilarie. --- Pascal, Blaise. --- Patton, W. E. --- Reid, Michael. --- Rothschild, Bruce. --- Satterfield, Wade. --- Stewart, Ian. --- Taylor, Herbert. --- Vancil, Andrew. --- Verbakel, Jan. --- Wang, Hao. --- Weyl, Hermann. --- Yoshigahara, Nob.

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