Applied algebra, algebraic algorithms and error-correcting by Serdar Boztas, Hsiao-feng Lu PDF

By Serdar Boztas, Hsiao-feng Lu

ISBN-10: 3540772235

ISBN-13: 9783540772231

This booklet constitutes the refereed complaints of the seventeenth overseas Symposium on utilized Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007.

The 33 revised complete papers provided including eight invited papers have been rigorously reviewed and chosen from sixty one submissions. one of the topics addressed are block codes, together with list-decoding algorithms; algebra and codes: jewelry, fields, algebraic geometry codes; algebra: jewelry and fields, polynomials, diversifications, lattices; cryptography: cryptanalysis and complexity; computational algebra: algebraic algorithms and transforms; sequences and boolean functions.

Show description

Read or Download Applied algebra, algebraic algorithms and error-correcting codes: 17th international symposium, AAECC-17, Bangalore, India, December 16-20, 2007: proceedings PDF

Similar information theory books

Download e-book for kindle: Komplexitätstheorie und Kryptologie: Eine Einführung in by Jörg Rothe

Während die moderne Kryptologie mathematisch strenge Konzepte und Methoden aus der Komplexitätstheorie verwendet, ist die Forschung in der Komplexitätstheorie wiederum oft durch Fragen und Probleme motiviert, die aus der Kryptologie stammen. Das vorliegende Buch hebt die enge Verflechtung dieser verwandten (doch oft separat behandelten) Gebiete hervor, deren Symbiose guy als „Kryptokomplexität" bezeichnen könnte.

Source Coding Theory by Robert M. Gray (auth.) PDF

Resource coding conception has as its aim the characterization of the optimum functionality feasible in idealized verbal exchange platforms which needs to code a knowledge resource for transmission over a electronic communique or garage channel for transmission to a person. The consumer needs to decode the data right into a shape that could be a strong approximation to the unique.

Download PDF by Michael Wibral, Raul Vicente, Joseph T. Lizier: Directed Information Measures in Neuroscience

Research of data move has discovered quick adoption in neuroscience, the place a hugely dynamic move of data regularly runs on most sensible of the brain's slowly-changing anatomical connectivity. Measuring such move is important to figuring out how versatile details routing and processing provide upward push to better cognitive functionality.

New PDF release: Quantum Chance: Nonlocality, Teleportation and Other Quantum

Quantum physics, which deals an evidence of the area at the smallest scale, has basic implications that pose a significant problem to boring good judgment. rather counterintuitive is the thought of entanglement, which has been explored for the earlier 30 years and posits an ubiquitous randomness in a position to manifesting itself concurrently in additional than one position.

Extra info for Applied algebra, algebraic algorithms and error-correcting codes: 17th international symposium, AAECC-17, Bangalore, India, December 16-20, 2007: proceedings

Sample text

In other words, the maximum fraction of errors that can be S. F. ): AAECC 2007, LNCS 4851, pp. 38–46, 2007. c Springer-Verlag Berlin Heidelberg 2007 Efficient List Decoding of Explicit Codes with Optimal Redundancy 39 corrected (via list decoding) using a rate R code (or the list decoding capacity), is given by the trade-off Hq−1 (1 − R). For q = 2Ω(1/ε) , Hq−1 (1 − R) 1 − R − ε (cf. [13]). In other words, for large enough alphabets, the list decoding capacity is ρcap (R) = 1 − R. Now is a good time to compare the list decoding capacity with what can be achieved with “usual” notion of decoding for the worst-case noise model (called unique decoding), where the decoder has to always output the transmitted word.

3] that if d is not a square in k then the Edwards addition law has an even more attractive feature: it is complete. This means that there are no points (x1 , y1 ), (x2 , y2 ) on the curve where the denominators vanish; the Edwards addition law produces the correct output for every pair of input points. The neutral element (0, 1) does not cause any trouble. The Edwards curve has two singularities at infinity, corresponding to four points √ on the desingularization of the curve; but those four points are defined over k( d), not over k.

Concatenated codes are constructed from two different codes that are defined over alphadef bets of different sizes. Say we are interested in a code over [q] = {0, 1, . . , q − 1} (in this section, we will think of q 2 as being a fixed constant). Then the outer code Cout is defined over [Q], where Q = q k for some positive integer k. The second code, called the inner code is defined over [q] and is of dimension k (Note that the message space of Cin and the alphabet of Cout have the same size). The concatenated code, denoted by C = Cout ◦ Cin , is defined as follows.

Download PDF sample

Applied algebra, algebraic algorithms and error-correcting codes: 17th international symposium, AAECC-17, Bangalore, India, December 16-20, 2007: proceedings by Serdar Boztas, Hsiao-feng Lu


by Robert
4.4

Rated 4.52 of 5 – based on 34 votes