Trace codes over \(\mathbb {Z}_4,\) and Boolean functions. (English) Zbl 1446.94187
Generalizing some recent ideas, the authors construct trace codes over \(\mathbb Z_4\) using the support of a Boolean function, by mapping it to a subset of a Teichmüller set by inverse reduction modulo \(2\). They then study the Lee weight enumerator via the Walsh-Hadamard transform for a family of Boolean functions. Three weight codes are constructed in this setting using bent and semi-bent functions.
Reviewer: Steven T. Dougherty (Scranton)
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Code TablesReferences:
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