On bounds for codes over Frobenius rings under homogeneous weights
نویسندگان
چکیده
منابع مشابه
New bounds for codes over finite Frobenius rings
We give further results on the question of code optimality for linear codes over finite Frobenius rings for the homogeneous weight. This article improves on the existing Plotkin bound derived in an earlier paper [6], and suggests a version of a Singleton bound. We also present some families of codes meeting these new bounds.
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We generalize the definition for higher weights for codes over rings and define weight enumerators corresponding to these weights. We give bounds for these weights and provide MacWilliams relations for the weight enumerators. We determine these weights for some codes over Z4.
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We introduce the Singleton bounds for codes over a finite commutative quasi-Frobenius ring.
متن کاملOn Plotkin-Optimal Codes over Finite Frobenius Rings
We study the Plotkin bound for codes over a finite Frobenius ring R equipped with the homogeneous weight. We show that for codes meeting the Plotkin bound, the distribution on R induced by projection onto a coordinate has an interesting property. We present several constructions of codes meeting the Plotkin bound and of Plotkin-optimal codes. We also investigate the relationship between Butson-...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2004
ISSN: 0012-365X
DOI: 10.1016/j.disc.2004.10.002