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ORCIDGröbner Bases, Coding, and Cryptography, 2009
- Massimiliano Sala
, Shojiro Sakata, Teo Mora, Carlo Traverso, Ludovic Perret:
Gröbner Bases, Coding, and Cryptography. Springer 2009, ISBN 978-3-540-93805-7 - Massimiliano Sala:
Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art. 1-8 - Teo Mora:
Gröbner Technology. 11-25 - Teo Mora:
The FGLM Problem and Möller's Algorithm on Zero-dimensional Ideals. 27-45 - Daniel Augot, Emanuele Betti, Emmanuela Orsini:
An Introduction to Linear and Cyclic Codes. 47-68 - Teo Mora, Emmanuela Orsini:
Decoding Cyclic Codes: the Cooper Philosophy. 69-91 - Douglas A. Leonard:
A Tutorial on AG Code Construction from a Gröbner Basis Perspective. 93-106 - John B. Little:
Automorphisms and Encoding of AG and Order Domain Codes. 107-120 - Olav Geil:
Algebraic Geometry Codes from Order Domains. 121-141 - Shojiro Sakata:
The BMS Algorithm. 143-163 - Shojiro Sakata:
The BMS Algorithm and Decoding of AG Codes. 165-185 - Douglas A. Leonard:
A Tutorial on AG Code Decoding from a Gröbner Basis Perspective. 187-196 - Eleonora Guerrini, Anna Rimoldi:
FGLM-Like Decoding: from Fitzpatrick's Approach to Recent Developments. 197-218 - Marcus Greferath:
An Introduction to Ring-Linear Coding Theory. 219-238 - Eimear Byrne, Teo Mora:
Gröbner Bases over Commutative Rings and Applications to Coding Theory. 239-261 - Olivier Billet, Jintai Ding:
Overview of Cryptanalysis Techniques in Multivariate Public Key Cryptography. 263-283 - Françoise Levy-dit-Vehel, Maria Grazia Marinari, Ludovic Perret, Carlo Traverso:
A Survey on Polly Cracker Systems. 285-305 - Carlos Cid, Ralf-Philipp Weinmann:
Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases. 307-327 - Frederik Armknecht, Gwénolé Ars:
Algebraic Attacks on Stream Ciphers with Gröbner Bases. 329-348 - Kristine Lally:
Canonical Representation of Quasicyclic Codes Using Gröbner Bases Theory. 351-355 - Marta Giorgetti:
About the nth-Root Codes: a Gröbner Basis Approach to the Weight Computation. 357-360 - Stanislav Bulygin, Ruud Pellikaan:
Decoding Linear Error-Correcting Codes up to Half the Minimum Distance with Gröbner Bases. 361-365 - Eleonora Guerrini, Emmanuela Orsini, Ilaria Simonetti:
Gröbner Bases for the Distance Distribution of Systematic Codes. 367-372 - Jon-Lark Kim:
A Prize Problem in Coding Theory. 373-377 - Mijail Borges-Quintana, Miguel A. Borges-Trenard, Edgar Martínez-Moro:
An Application of Möller's Algorithm to Coding Theory. 379-384 - Edgar Martínez-Moro, Diego Ruano:
Mattson Solomon Transform and Algebra Codes. 385-388 - Peter Beelen, Kristian Brander:
Decoding Folded Reed-Solomon Codes Using Hensel-Lifting. 389-394 - Daniel Augot, Michael Stepanov:
A Note on the Generalisation of the Guruswami-Sudan List Decoding Algorithm to Reed-Muller Codes. 395-398 - Gretchen L. Matthews:
Viewing Multipoint Codes as Subcodes of One-Point Codes. 399-402 - Heide Gluesing-Luerssen, Barbara Langfeld, Wiland Schmale:
A Short Introduction to Cyclic Convolutional Codes. 403-408 - Ilaria Simonetti:
On the Non-linearity of Boolean Functions. 409-413 - Danilo Gligoroski, Vesna Dimitrova, Smile Markovski:
Quasigroups as Boolean Functions, Their Equation Systems and Gröbner Bases. 415-420 - Danilo Gligoroski, Smile Markovski, Svein Johan Knapskog:
A New Measure to Estimate Pseudo-Randomness of Boolean Functions and Relations with Gröbner Bases. 421-425 - Ryutaroh Matsumoto:
Radical Computation for Small Characteristics. 427-430
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