Gröbner Bases, Coding, and Cryptography

Gröbner Bases, Coding, and Cryptography

 

170,07 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2010
ISBN:
9783642101007
170,07 €
IVA incluido
Disponible

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Sobre IBD

Part I: Invited Talks1 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 cryptography15 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 withGroebner 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 codes11 Heide Gluesing-Luerssen, Barbara Langfeld, Wiland Schmale: A short introduction to cyclic convolutional codes,12 Ilaria Simonetti: On the non-linearity of Boolean functions13 Danilo Gligoroski, Vesna Dimitrova, Smile Markovski: Quasigroups as Boolean functions, their equation systems and Groebner bases14 Danilo Gligoroski, Smile Markovski, Svein J. Knapskog: A new measure to estimate pseudo-randomness of Boolean functions and relations with Gröbner bases15 Ryutaroh Matsumoto: Radical computation for small characteristics

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