A generic construction produces minimal ternary linear codes of dimension m+2 that violate the Ashikhmin-Barg condition, with complete weight enumerators determined via Krawtchouk polynomials.
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Construction of Minimal Ternary Linear Codes with Dimension $m+2$ Via Krawtchouk Polynomials
A generic construction produces minimal ternary linear codes of dimension m+2 that violate the Ashikhmin-Barg condition, with complete weight enumerators determined via Krawtchouk polynomials.