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A new series of ℤ₄-linear codes of high minimum Lee distance derived from the Kerdock codes

Title data

Kiermaier, Michael ; Zwanzger, Johannes:
A new series of ℤ₄-linear codes of high minimum Lee distance derived from the Kerdock codes.
In: Edelmayer, András (Hrsg.): Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems. - Budapest , 2010 . - pp. 929-932
ISBN 978-963-311-370-7

Project information

Project title:
Project's official titleProject's id
Konstruktive Methoden in der algebraischen Codierungstheorie für lineare Codes über endlichen KettenringenWA-1666/4

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

A new series of ℤ₄-linear codes of high minimum Lee distance is given. It is derived from the ℤ₄-linear
representation of the Kerdock codes. The Gray image of the
smallest of these codes is a nonlinear binary (114, 2⁸, 56)-code, and in the second smallest case the Gray image is a nonlinear binary (1988, 2¹², 992)-code. Both codes have at least twice as many codewords as any linear binary code of equal length and minimum distance.

Further data

Item Type: Article in a book
Refereed: Yes
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 25 Nov 2014 15:28
Last Modified: 25 Nov 2014 15:28
URI: https://eref.uni-bayreuth.de/id/eprint/3902