Lattices and codes

Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review

Authors

  • Wolfgang Ebeling

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Details

Original languageEnglish
Title of host publicationMethods of discrete mathematics.
Subtitle of host publicationProceedings of the summer school, Braunschweig, Germany, May 23–29, 1999
EditorsStefan Löwe, Francesco Mazzocca, Nicola Melone, Udo Ott
Place of PublicationRom
PublisherAracne Editrice
Pages103-143
Number of pages41
Publication statusPublished - 1999

Publication series

NameQuaderni di Mathematica
PublisherAracne Editrice, Rome; Dipartimento di Matematica, Seconda Universitá di Napoli, Caserta
Volume5

Abstract

The lectures concern the connection between lattices and codes. The material is an excerpt from the author’s book bearing the same title [Lattices and codes. A course partially based on lectures by F. Hirzebruch, Vieweg (1994); 2nd edition (2002)]. Topics included here are: 1. From codes to lattices; 2. Weight enumerators and theta functions; 3. The MacWilliams identity and Gleason’s theorem; 4. Self-dual codes over 픽p and lattices; 5. Lee weight enumerators and Hilbert modular forms. There are also 22 exercises with complete solutions.

Cite this

Lattices and codes. / Ebeling, Wolfgang.
Methods of discrete mathematics.: Proceedings of the summer school, Braunschweig, Germany, May 23–29, 1999. ed. / Stefan Löwe; Francesco Mazzocca; Nicola Melone; Udo Ott. Rom: Aracne Editrice, 1999. p. 103-143 (Quaderni di Mathematica; Vol. 5).

Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review

Ebeling, W 1999, Lattices and codes. in S Löwe, F Mazzocca, N Melone & U Ott (eds), Methods of discrete mathematics.: Proceedings of the summer school, Braunschweig, Germany, May 23–29, 1999. Quaderni di Mathematica, vol. 5, Aracne Editrice, Rom, pp. 103-143.
Ebeling, W. (1999). Lattices and codes. In S. Löwe, F. Mazzocca, N. Melone, & U. Ott (Eds.), Methods of discrete mathematics.: Proceedings of the summer school, Braunschweig, Germany, May 23–29, 1999 (pp. 103-143). (Quaderni di Mathematica; Vol. 5). Aracne Editrice.
Ebeling W. Lattices and codes. In Löwe S, Mazzocca F, Melone N, Ott U, editors, Methods of discrete mathematics.: Proceedings of the summer school, Braunschweig, Germany, May 23–29, 1999. Rom: Aracne Editrice. 1999. p. 103-143. (Quaderni di Mathematica).
Ebeling, Wolfgang. / Lattices and codes. Methods of discrete mathematics.: Proceedings of the summer school, Braunschweig, Germany, May 23–29, 1999. editor / Stefan Löwe ; Francesco Mazzocca ; Nicola Melone ; Udo Ott. Rom : Aracne Editrice, 1999. pp. 103-143 (Quaderni di Mathematica).
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