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arxiv: 1811.06829 · v1 · pith:EWI47D6Hnew · submitted 2018-11-16 · 🧮 math.CO · cs.IT· math.IT

Minimal linear codes in odd characteristic

classification 🧮 math.CO cs.ITmath.IT
keywords codesminimalashikhmin-bargboundcharacteristicconstructionsdingfamilies
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In this paper we generalize constructions in two recent works of Ding, Heng, Zhou to any field $\mathbb{F}_q$, $q$ odd, providing infinite families of minimal codes for which the Ashikhmin-Barg bound does not hold.

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