TY - BOOK AU - Bras-Amorós,Maria AU - Høholdt,Tom ED - SpringerLink (Online service) TI - Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 18th International Symposium, AAECC-18 2009, Tarragona, Spain, June 8-12, 2009. Proceedings T2 - Lecture Notes in Computer Science, SN - 9783642021817 AV - QA268 U1 - 003.54 23 PY - 2009/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Computer science KW - Data structures (Computer science) KW - Data encryption (Computer science) KW - Coding theory KW - Computational complexity KW - Algebra KW - Data processing KW - Algorithms KW - Computer Science KW - Coding and Information Theory KW - Data Encryption KW - Discrete Mathematics in Computer Science KW - Symbolic and Algebraic Manipulation KW - Data Structures, Cryptology and Information Theory N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/978-3-642-02181-7 ER -