By Ricardo Baeza-Yates (auth.), José R. Correa, Alejandro Hevia, Marcos Kiwi (eds.)
This publication constitutes the refereed lawsuits of the seventh foreign Symposium, Latin American Theoretical Informatics, LATIN 2006, held in Valdivia, Chile in March 2006.
The sixty six revised complete papers awarded including seven invited papers have been conscientiously reviewed and chosen from 224 submissions. The papers provided are dedicated to a vast variety of issues in theoretical laptop technology with a definite specialise in algorithmics and computations on the topic of discrete arithmetic in addition to on cryptography, info compression and internet applications.
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Additional info for LATIN 2006: Theoretical Informatics: 7th Latin American Symposium, Valdivia, Chile, March 20-24, 2006. Proceedings
R. Correa, A. Hevia, and M. ): LATIN 2006, LNCS 3887, p. 25, 2006. c Springer-Verlag Berlin Heidelberg 2006 Lossless Data Compression Via Error Correction Sergio Verd´ u Dept. edu Abstract. This plenary talk gives an overview of recent joint work with G. Caire and S. Shamai on the use of linear error correcting codes for lossless data compression, joint source/channel coding and interactive data exchange. 1 Summary Over the last ﬁve decades, signiﬁcant inventions have led to data compression and data transmission systems whose eﬃciency approaches Shannon’s fundamental limits .
5. G. Caire, S. Shamai, and S. Verd´ u, “Noiseless data compression with low density parity check codes,” in DIMACS Series in Discrete Mathematics and Theoretical Computer Science, P. Gupta and G. , pp. vol. 66, pp. 263–284. American Mathematical Society, 2004. 6. G. Caire, S. Shamai, A. Shokrollahi and S. Verd´ u, “Fountain Codes for Lossless Data Compression,” in DIMACS Series in Discrete Mathematics and Theoretical Computer Science: Algebraic Coding Theory and Information Theory, A. Ashikhmin, A.
Johannes Buchmann, Christoph Thiel, and Hugh Williams. Short representation of quadratic integers. In Computational algebra and number theory (Sydney, 1992), volume 325 of Math. , pages 159–185. Kluwer Acad. , Dordrecht, 1995. 4. Harvey Cohn. Advanced number theory. , New York, 1980. Reprint of A second course in number theory, 1962, Dover Books on Advanced Mathematics. 5. Ivan Bjerre Damg˚ ard and Gudmund Skovbjerg Frandsen. Eﬃcient algorithms for gcd and cubic residuosity in the ring of Eisenstein integers.
LATIN 2006: Theoretical Informatics: 7th Latin American Symposium, Valdivia, Chile, March 20-24, 2006. Proceedings by Ricardo Baeza-Yates (auth.), José R. Correa, Alejandro Hevia, Marcos Kiwi (eds.)