Codes with the Same Weight Distributions as the Goethals Codes and the Delsarte-Goethals Codes
Designs, Codes and Cryptography
An Assmus–Mattson-Type Approach for Identifying 3-Designs from Linear Codes over Z4
Designs, Codes and Cryptography
3-Designs from Z4-goethals-like codes and variants of cyclotomic polynomials
WCC'05 Proceedings of the 2005 international conference on Coding and Cryptography
3-Designs from all Z4-Goethals-like codes with block size 7 and 8
Finite Fields and Their Applications
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The quaternary Goethals-like codes are a family of Z4-linear codes of length 2m, m odd, which have 222m-3m-2 codewords and minimum Lee distance 8. They are further parameterized by an integer k subject to the constraint (k, m) = 1. In this note we give a simple new proof of the fact that the minimum distance of these codes does not depend on the auxiliary parameter k.