On the left primeness of some polynomial matrices with applications to convolutional codes
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DOI: 10.1142/s0219498821502078
Abstract: Maximum distance profile (MDP) convolutional codes have the property that their column distances are as large as possible for given rate and degree. There exists a well-known criterion to check whether a code is MDP… read more here.
Keywords: left primeness; primeness polynomial; divides delta; polynomial matrices ... See more keywords
On Hyper–Regularity and Unimodularity of Ore Polynomial Matrices
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DOI: 10.2478/amcs-2018-0045
Abstract: Abstract We investigate Ore polynomial matrices, i. e., matrices with polynomial entries in d/dt whose coefficients are meromorphic functions in t and as such constitute a non-commutative ring. In particular, we study the properties of… read more here.
Keywords: polynomial matrices; hyper regularity; regularity unimodularity; ore polynomial ... See more keywords