17th AAECC Symposium

Applied Algebra, Algebraic Algorithms,
and Error Correcting Codes

Complexity in all algebraic constructions
Algebraic complexity theory
Gröbner bases: structure, and solution of integer programs...
bases of fields : finite fields, cyclotomic fields..., special bases, optimal bases...
explicit constructions : irreducible polynomials, factorizing polynomials...
finite structures : Galois rings, codes over rings (Z_4, local and semi-local rings, Gray maps)...
effective algebra : Nullstellensatz, linear algebra...
multivariate polynomial problems, factorization/decomposition of multiv. polynomials, multivariate polynomial applications...

algebraic codes : cyclic, double circulant, abelian codes...
multiv. polynomial codes, concatenated codes, product codes...
decoding methods and their complexity : algorithms for AG codes, Gröbner bases and decoding, trellis decoding, Turbo decoding, iterative algorithms for concatenated codes...
AG-codes, algebraic Geometry over finite fields...
automorphisms of codes...

Hadamard and weighting matrices, highly regular graphs from cosets, designs in codewords, r-partition designs, orthog. arrays, (t,m,s)-nets...
euclidean lattices (spherical codes and designs, decoding, vector quantizing, higher dimensional modulation)...

unequal error protection, coset codes, multidimensional trellis coded modulation, multilevel coding...
lattices : Gaussian channel modulation...
sequences (low correlation for spread spectrum and CDMA, Hamming correlation for FHMA, pseudo-random sequences for cryptography, complexity profile)...

public-key Cryptography, elliptic curve cryptosystems, computational number theory, authentication and digital signatures, Hash Functions, zero-knowledge proofs, pseudorandom numbers and sequences, stream ciphers and block ciphers...

AAECC17 Invited Speakers (title)

T.Helleseth (),

R.Koetter (),

T.Lange ()

G.McGuire ( )

P.Shankar ()

H.Stichtenoth ( )