Codes with the same weight distributions as the Goethals codes and the Delsarte-Goethals codes

zbMath0868.94043MaRDI QIDQ676918

Tor Helleseth, P. Vijay Kumar, Abhijit G. Shanbhag

Publication date: 24 August 1997

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

zbMATH Keywords

weight distribution\(Z_ 4\)-linear codesDelsarte-Goethals codeGoethals code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

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Association schemes related to Delsarte-Goethals codes, Optimal codebooks achieving the Levenshtein bound from generalized bent functions over \(\mathbb {Z}_{4}\), 3-designs from all \(\mathbb Z_{4}\)-Goethals-like codes with block size 7 and 8, A simple proof to the minimum distance of \(\mathbb{Z}_{4}\)-linear Goethals-like codes