Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France 7-11 May 2007
著者
書誌事項
Algebraic geometry and its applications : dedicated to Gilles Lachaud on his 60th birthday : proceedings of the First SAGA Conference, Papeete, France 7-11 May 2007
（Series on number theory and its applications / series editor, Shigeru Kanemitsu, v. 5）
World Scientific, c2008
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. It contains many new, theoretical and applicable results, as well as surveys that were presented by the top specialists in these areas. New results include an answer to one of Serre's questions, posted in a letter to Top; cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperelliptic curves; construction of function field towers; construction of new classes of Boolean cryptographic functions; and algorithmic applications of algebraic geometry.
目次
- On the Semiprimitivity of Cyclic Codes (Y Aubry & P Langevin)
- An Optimal Unramified Tower of Function Fields (K Brander)
- Galois Invariant Smoothness Basis (J-M Couveignes)
- Decoding of Scroll Codes (G Hitching & T Johnsen)
- Fuzzy Pairing-based CL-PKC (M Kiviharju)
- On Quadratic Extensions of Cyclic Projective Planes (H F Law & P Wong)
- On the Number of Boolean Resilient Functions (S Mesnager)
- Symmetric Cryptography and Algebraic Curves (F Voloch)
- Partitions of Vector Spaces over Finite Fields (Y Zelenyuk)
- and other papers.
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