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New 5‐designs constructed from the lifted Golay code over ℤ 4
Author(s) -
Harada Masaaki
Publication year - 1998
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/(sici)1520-6610(1998)6:3<225::aid-jcd4>3.0.co;2-h
Subject(s) - binary golay code , mathematics , code (set theory) , ternary golay code , combinatorics , arithmetic , discrete mathematics , statistics , computer science , programming language , linear code , decoding methods , set (abstract data type) , block code
It is shown that the lifted Golay code over ℤ 4 contains several 5‐designs. In particular, a 5‐(24, 12, 1584) design and a 5‐(24, 12, 1632) design are constructed for the first time. © 1998 John Wiley & Sons, Inc. J Combin Designs 6: 225–229, 1998