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Codes over local rings of order 16 and binary codes

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  • We study codes over the commutative local Frobenius rings of order 16 with maximal ideals of size 8. We define a weight preserving Gray map and study the images of these codes as binary codes. We study self-dual codes and determine when they exist.
    Mathematics Subject Classification: Primary: 11T71, 94B05; Secondary: 13H99.

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