Abstract

This correspondence presents a complete solution to the problem of constructing maximal q -nary codes, for any word length n and minimum distance d in the region qd \geq (q - 1)n . Several interesting results regarding the interdependence of these codes are developed, which reveal the unique structure of the code spaces of the region qd \geq (q - 1)n . Some new maximal codes are obtained for the region qd .

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