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Published May 28, 1999 | public
Journal Article

Optimal self-dual codes over ℤ_4

Rains, Eric ORCID icon

Abstract

The optimal minimal Euclidean norm of self-dual codes over ℤ_4 is known through length 24; the purpose of the present note is to determine the optimal minimal Hamming and Lee weights in this range. In the process, we classify all Lee-optimal codes of length 18, 21, 23, and 24. In particular, we find a total of 13 inequivalent codes with the same symmetrized weight enumerator as the Hensel-lifted Golay code.

Additional Information

© 1999 Elsevier Science B.V. Received 17 November 1997, Revised 14 August 1998, Accepted 8 September 1998, Available online 7 September 1999.

Additional details

Created:
August 19, 2023
Modified:
March 5, 2024