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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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This book constitutes the refereed proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and E... Weiterlesen
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Beschreibung

This book constitutes the refereed proceedings of the 18th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-18, held in Tarragona, Spain, in June 2009. The 22 revised full papers presented together with 7 extended absstracts were carefully reviewed and selected from 50 submissions. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra: algebraic algorithms and transforms; sequences and boolean functions.



Inhalt

Codes.- The Order Bound for Toric Codes.- An Extension of the Order Bound for AG Codes.- Sparse Numerical Semigroups.- From the Euclidean Algorithm for Solving a Key Equation for Dual Reed-Solomon Codes to the Berlekamp-Massey Algorithm.- Rank for Some Families of Quaternary Reed-Muller Codes.- Optimal Bipartite Ramanujan Graphs from Balanced Incomplete Block Designs: Their Characterizations and Applications to Expander/LDPC Codes.- Simulation of the Sum-Product Algorithm Using Stratified Sampling.- A Systems Theory Approach to Periodically Time-Varying Convolutional Codes by Means of Their Invariant Equivalent.- On Elliptic Convolutional Goppa Codes.- The Minimum Hamming Distance of Cyclic Codes of Length 2p s .- There Are Not Non-obvious Cyclic Affine-invariant Codes.- On Self-dual Codes over Z 16 .- Cryptography.- A Non-abelian Group Based on Block Upper Triangular Matrices with Cryptographic Applications.- Word Oriented Cascade Jump ??LFSR.- On Some Sequences of the Secret Pseudo-random Index j in RC4 Key Scheduling.- Very-Efficient Anonymous Password-Authenticated Key Exchange and Its Extensions.- Efficient Constructions of Deterministic Encryption from Hybrid Encryption and Code-Based PKE.- Algebra.- Noisy Interpolation of Multivariate Sparse Polynomials in Finite Fields.- New Commutative Semifields and Their Nuclei.- Spreads in Projective Hjelmslev Geometries.- On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings.- Rooted Trees Searching for Cocyclic Hadamard Matrices over D 4t .- Extended Abstracts.- Interesting Examples on Maximal Irreducible Goppa Codes.- Repeated Root Cyclic and Negacyclic Codes over Galois Rings.- Construction of Additive Reed-Muller Codes.- Gröbner Representations of Binary Matroids.- A Generalization of the Zig-Zag Graph Product by Means of the Sandwich Product.- Novel Efficient Certificateless Aggregate Signatures.- Bounds on the Number of Users for Random 2-Secure Codes.

Produktinformationen

Titel: Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Untertitel: 18th International Symposium, AAECC-18, Tarragona, Sapin, June 8-12, 2009, Proceedings
Editor:
EAN: 9783642021817
Digitaler Kopierschutz: Wasserzeichen
Format: E-Book (pdf)
Hersteller: Springer Berlin Heidelberg
Genre: IT & Internet
Anzahl Seiten: 243
Veröffentlichung: 06.06.2009
Dateigrösse: 3.9 MB

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