Lattices and codes

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autoren

  • Wolfgang Ebeling

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des SammelwerksMethods of discrete mathematics.
UntertitelProceedings of the summer school, Braunschweig, Germany, May 23–29, 1999
Herausgeber/-innenStefan Löwe, Francesco Mazzocca, Nicola Melone, Udo Ott
ErscheinungsortRom
Herausgeber (Verlag)Aracne Editrice
Seiten103-143
Seitenumfang41
PublikationsstatusVeröffentlicht - 1999

Publikationsreihe

NameQuaderni di Mathematica
Herausgeber (Verlag)Aracne Editrice, Rome; Dipartimento di Matematica, Seconda Universitá di Napoli, Caserta
Band5

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 𝔽p and lattices; 5. Lee weight enumerators and Hilbert modular forms. There are also 22 exercises with complete solutions.

Zitieren

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

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Ebeling, W 1999, Lattices and codes. in S Löwe, F Mazzocca, N Melone & U Ott (Hrsg.), Methods of discrete mathematics.: Proceedings of the summer school, Braunschweig, Germany, May 23–29, 1999. Quaderni di Mathematica, Bd. 5, Aracne Editrice, Rom, S. 103-143.
Ebeling, W. (1999). Lattices and codes. In S. Löwe, F. Mazzocca, N. Melone, & U. Ott (Hrsg.), Methods of discrete mathematics.: Proceedings of the summer school, Braunschweig, Germany, May 23–29, 1999 (S. 103-143). (Quaderni di Mathematica; Band 5). Aracne Editrice.
Ebeling W. Lattices and codes. in Löwe S, Mazzocca F, Melone N, Ott U, Hrsg., Methods of discrete mathematics.: Proceedings of the summer school, Braunschweig, Germany, May 23–29, 1999. Rom: Aracne Editrice. 1999. S. 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. Hrsg. / Stefan Löwe ; Francesco Mazzocca ; Nicola Melone ; Udo Ott. Rom : Aracne Editrice, 1999. S. 103-143 (Quaderni di Mathematica).
Download
@inproceedings{dd2a1c7ec9394a31837ae02dd922ad2f,
title = "Lattices and codes",
abstract = "The lectures concern the connection between lattices and codes. The material is an excerpt from the author{\textquoteright}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{\textquoteright}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.",
author = "Wolfgang Ebeling",
year = "1999",
language = "English",
series = "Quaderni di Mathematica",
publisher = "Aracne Editrice",
pages = "103--143",
editor = "Stefan L{\"o}we and Francesco Mazzocca and Nicola Melone and Udo Ott",
booktitle = "Methods of discrete mathematics.",
address = "Italy",

}

Download

TY - GEN

T1 - Lattices and codes

AU - Ebeling, Wolfgang

PY - 1999

Y1 - 1999

N2 - 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.

AB - 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.

UR - https://zbmath.org/?q=an%3A1005.94024

M3 - Conference contribution

T3 - Quaderni di Mathematica

SP - 103

EP - 143

BT - Methods of discrete mathematics.

A2 - Löwe, Stefan

A2 - Mazzocca, Francesco

A2 - Melone, Nicola

A2 - Ott, Udo

PB - Aracne Editrice

CY - Rom

ER -