Title :
An Assmus-Mattson theorem for Z4-codes
Author :
Tanabe, Kenichiro
Author_Institution :
Graduate Sch. of Math., Kyushu Univ., Fukuoka, Japan
fDate :
1/1/2000 12:00:00 AM
Abstract :
The Assmus-Mattson theorem is a method to find designs in linear codes over a finite field. The purpose of this paper is to give an analog of this theorem for Z4-codes by using the harmonic weight enumerator introduced by Bachoc. This theorem can find some 5-designs in the lifted Golay code over Z4 which were discovered previously by other methods
Keywords :
Golay codes; 5-designs; Assmus-Mattson theorem; Z4-codes; harmonic weight enumerator; lifted Golay code; Binary codes; Design methodology; Galois fields; Hamming weight; Helium; Kernel; Linear code; Linearity; Mathematics;
Journal_Title :
Information Theory, IEEE Transactions on
