Peter Beelen, Diego Ruano (auth.), Maria Bras-Amorós, Tom Høholdt (eds.)9783642021800, 3642021808
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.
Table of contents :
Front Matter….Pages –
The Order Bound for Toric Codes….Pages 1-10
An Extension of the Order Bound for AG Codes….Pages 11-22
Sparse Numerical Semigroups….Pages 23-31
From the Euclidean Algorithm for Solving a Key Equation for Dual Reed–Solomon Codes to the Berlekamp–Massey Algorithm….Pages 32-42
Rank for Some Families of Quaternary Reed-Muller Codes….Pages 43-52
Optimal Bipartite Ramanujan Graphs from Balanced Incomplete Block Designs: Their Characterizations and Applications to Expander/LDPC Codes….Pages 53-64
Simulation of the Sum-Product Algorithm Using Stratified Sampling….Pages 65-72
A Systems Theory Approach to Periodically Time-Varying Convolutional Codes by Means of Their Invariant Equivalent….Pages 73-82
On Elliptic Convolutional Goppa Codes….Pages 83-91
The Minimum Hamming Distance of Cyclic Codes of Length 2 p s ….Pages 92-100
There Are Not Non-obvious Cyclic Affine-invariant Codes….Pages 101-106
On Self-dual Codes over Z 16 ….Pages 107-116
A Non-abelian Group Based on Block Upper Triangular Matrices with Cryptographic Applications….Pages 117-126
Word Oriented Cascade Jump σ −LFSR….Pages 127-136
On Some Sequences of the Secret Pseudo-random Index j in RC4 Key Scheduling….Pages 137-148
Very-Efficient Anonymous Password-Authenticated Key Exchange and Its Extensions….Pages 149-158
Efficient Constructions of Deterministic Encryption from Hybrid Encryption and Code-Based PKE….Pages 159-168
Noisy Interpolation of Multivariate Sparse Polynomials in Finite Fields….Pages 169-178
New Commutative Semifields and Their Nuclei….Pages 179-185
Spreads in Projective Hjelmslev Geometries….Pages 186-194
On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings….Pages 195-203
Rooted Trees Searching for Cocyclic Hadamard Matrices over D 4t ….Pages 204-214
Interesting Examples on Maximal Irreducible Goppa Codes….Pages 215-218
Repeated Root Cyclic and Negacyclic Codes over Galois Rings….Pages 219-222
Construction of Additive Reed-Muller Codes….Pages 223-226
Gröbner Representations of Binary Matroids….Pages 227-230
A Generalization of the Zig-Zag Graph Product by Means of the Sandwich Product….Pages 231-234
Novel Efficient Certificateless Aggregate Signatures….Pages 235-238
Bounds on the Number of Users for Random 2-Secure Codes….Pages 239-242
Back Matter….Pages –
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