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Title: Column distances of convolutional codes over Z_p^r
Author: Napp, Diego
Pinto, Raquel
Toste, Marisa
Keywords: Convolutional codes
Finite ring
Column distances
Maximum distance profile
Issue Date: Feb-2019
Publisher: Institute of Electrical and Electronics Engineers
Abstract: Maximum distance profile codes over finite nonbinary fields have been introduced and thoroughly studied in the last decade. These codes have the property that their column distances are maximal among all codes of the same rate and degree. In this paper, we aim at studying this fundamental concept in the context of convolutional codes over a finite ring. We extensively use the concept of p-encoder to establish the theoretical framework and derive several bounds on the column distances. In particular, a method for constructing (not necessarily free) maximum distance profile convolutional codes over Zpr is presented.
Peer review: yes
DOI: 10.1109/TIT.2018.2870436
ISSN: 0018-9448
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Appears in Collections:CIDMA - Artigos
SCG - Artigos

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