
salle du conseil du L2S (B4.40) Laboratoire des signaux et systèmes CNRS-SUPELEC-UPS 3, rue Joliot-Curie 91190 Gif-sur-Yvette
This talk will deal with three "little" coding problems that the speaker has found to be conceptually interesting. Here are the problems: 1) Linear Source Coding -- What is the rate-distortion tradeoff when a binary memoryless source is encoded with a linear sequential machine (such as a convolutional encoder)? A simple proof will be given of Ancheta's theorem for the binary symmetric source. The generalization and relation to channel coding above capacity will be discussed together with open problems. 2) Ambiguous Decoding and Erroneous Decoding -- Simple upper bounds on the probability of ambiguous decoding in terms of the error probability for maximum-likelihood decoding will be given for the Binary Symmetric Channel and the Z-channel. Applications to coding with feedback will be given and open problems stated.. 3) Access Structures for Secret Sharing -- It will be shown that, when a linear code is used in a secret sharing scheme, the minimal codewords in the dual code completely determine the access structure. Open problems will be described. Biography : *James L. Massey* served on the faculties of the University of Notre Dame, Indiana (1962-1977), the University of California, Los Angeles (1977-1980), and the Swiss Federal Institute of Technology (ETH), Zürich (1980-1998), where he now hold emeritus status. He is currently an Adjunct Professor at the University of Lund, Sweden, and at the Technical University of Denmark. Massey has served the /IEEE Transactions on Information Theory/ as Editor and as Associate Editor for Algebraic Coding and the /Journal of Cryptology/ as an Associate Editor. He is a past President of the IEEE Information Theory Society and of the International Association for Cryptologic Research. He was a founder of Codex Corporation (later a division of Motorola) and of Cylink Corporation (later a subsidiary of SafeNet). His awards include the 1988 Shannon Award of the IEEE Information Theory Society, the 1992 IEEE Alexander Graham Bell Medal "for contributions to the theory and practical implementation of forward-error-correcting codes, multi-user communications, and cryptographic systems; and for excellence in engineering education", the l987 IEEE W.R.G. Baker Award (joint with P. Mathys) for the "most outstanding paper reporting original work in the Transactions, Journals, and Magazines of IEEE Societies or in the Proceedings of the IEEE", the 1999 Marconi Prize, and the 2004 IEEE Information Theory Society Distinguished Service Award. He is a Fellow of the IEEE, a member of the Swiss Academy of Engineering Sciences, a member of the European Academy of Sciences and Arts, a member /emeritus/ of the U. S. National Academy of Engineering, an honorary member of the Hungarian Academy of Science, a foreign member of the Royal Swedish Academy of Sciences, and a Fellow of the American Academy of Arts and Sciences.
Merouane Debbah