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Release
March/April 2009: Release of SINGULAR version 3-1-0. More
Jenks Prize
July 2004: The Richard D. Jenks Prize for Excellence in Software Engineering for Computer Algebra was awarded to the Singular team. More
Book: Gröbner Bases, Coding, and Cryptography"
Table of contents:
| Part I: Invited Talks | |
|---|---|
| 1 | Teo Mora: Groebner technology, |
| 2 | Teo Mora: The FGLM problem and Moeller's algorithm on zero-dimensional ideals, |
| 3 | Daniel Augot, Emanuele Betti, Emmanuela Orsini: An introduction to linear and cyclic codes, |
| 4 | Teo Mora, Emmanuela Orsini: Decoding cyclic codes: the Cooper philosophy, |
| 5 | Douglas A. Leonard: A tutorial on AG code construction from a Groebner basis perspective, |
| 6 | John Little: Automorphisms and encoding of AG and order domain codes, |
| 7 | Olav Geil: Algebraic geometry codes from order domains, |
| 8 | Shojiro Sakata: The BMS algorithm, |
| 9 | Shojiro Sakata: The BMS Algorithm and decoding of algebraic geometry codes, |
| 10 | Douglas A. Leonard: A tutorial on AG code decoding from a Groebner basis perspective, |
| 11 | Eleonora Guerrini,Anna Rimoldi: FGLM-like decoding: from Fitzpatrick's approach to recent developments, |
| 12 | Marcus Greferath: An introduction to ring-linear coding theory, |
| 13 | Eimear Byrne, Teo Mora: Groebner bases over commutative Artin chain rings and applications to coding theory, |
| 14 | Olivier Billet and Jintai Ding: Overview of cryptanalysis techniques in multivariate public key cryptography |
| 15 | Francoise Levy-dit-Vehel, Maria Grazia Marinari, Ludovic Perret, Carlo Traverso: A survey on Polly-Cracker systems, |
| 16 | Carlos Cid, Ralf Weinmann: Block ciphers: algebraic cryptanalysis and Groebner bases, |
| 17 | Frederik Armknecht, Gwenole Ars: Algebraic attacks on stream ciphers with Groebner bases, |
| Part II: Notes | |
| 1 | Kristine Lally: Canonical representation of quasicyclic codes using Gröbner basis theory, |
| 2 | Marta Giorgetti: About the nth-root codes, |
| 3 | Stanislav Bulygin, Ruud Pellikaan: Decoding linear error-correcting codes up to half the minimum distance with Groebner bases, |
| 4 | Eleonora Guerrini, Emmanuela Orsini, Ilaria Simonetti: Gröbner bases for the distance distribution of systematic codes, |
| 5 | Jon-Lark Kim: A Prize Problem in Coding Theory, |
| 6 | Mijail Borges-Quintana, Miguel A. Borges-Trenard, Edgar Martinez-Moro: An application of Moeller's Algorithm to Coding Theory, |
| 7 | Edgar Martinez-Moro, Diego Ruano: Mattson Solomon transform and algebra codes, |
| 8 | Peter Beelen, Kristian Brander: Decoding folded Reed-Solomon codes using Hensel lifting, |
| 9 | Daniel Augot, Michael Stepanov: A note on the generalisation of the Guruswami-Sudan list decoding |
| 10 | Gretchen L. Matthews: Viewing multipoint codes as subcodes of one-point codes |
| 11 | Heide Gluesing-Luerssen, Barbara Langfeld, Wiland Schmale: A short introduction to cyclic convolutional codes, |
| 12 | Ilaria Simonetti: On the non-linearity of Boolean functions |
| 13 | Danilo Gligoroski, Vesna Dimitrova, Smile Markovski: Quasigroups as Boolean functions, their equation systems and Groebner bases |
| 14 | Danilo Gligoroski, Smile Markovski, Svein J. Knapskog: A new measure to estimate pseudo-randomness of Boolean functions and relations with Gröbner bases |
| 15 | Ryutaroh Matsumoto: Radical computation for small characteristics |