An infinite family of 3-designs from preparata codes over Z4

Helleseth, Tor ; Vijay Kumar, P. ; Yang, Kyeongcheol (1998) An infinite family of 3-designs from preparata codes over Z4 Designs, Codes and Cryptography, 15 (2). pp. 175-181. ISSN 0925-1022

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Official URL: https://link.springer.com/article/10.1023/A%3A1008...

Related URL: http://dx.doi.org/10.1023/A:1008363617109

Abstract

We show that the support of minimum Lee weight codewords having Hamming weight 5 in the Preparata code over Z4 form a 3-(2m,5,10) design for any odd integer m ≥ 3.

Item Type:Article
Source:Copyright of this article belongs to Springer Verlag.
Keywords:Linear Codes Over Z4; Preparata Codes; T-Designs
ID Code:110187
Deposited On:31 Jan 2018 10:15
Last Modified:31 Jan 2018 10:15

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