Tensor Representation of Rank-Metric Codes
نویسندگان
چکیده
منابع مشابه
Tensor codes for the rank metric
Linear spaces of n× n× n tensors over finite fields are investigated where the rank of every nonzero tensor in the space is bounded from below by a prescribed number μ. Such linear paces can recover any n × n × n error tensor of rank ≤ (μ−1)/2, and, as such, they can be used to correct three-way crisscross errors. Bounds on the dimensions of such spaces are given for μ ≤ 2n+1, and constructions...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Algebra and Geometry
سال: 2019
ISSN: 2470-6566
DOI: 10.1137/19m1253964