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Akademický článek

Weight-2 input sequences of 1/n convolutional codes from linear systems point of view

Autor: Victoria Herranz, Diego Napp, Carmen Perea

Publikováno v: AIMS Mathematics, Vol 8, Iss 1, Pp 713-732 (2023)

Convolutional codes form an important class of codes that have memory. One natural way to study these codes is by means of input state output representations. In this paper we study the minimum (Hamming) weight among codewords produced by input seque

Externí odkaz: https://doaj.org/article/a3149392545745ae92ca065871a35656

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Akademický článek

Minimal State-Space Representation of Convolutional Product Codes

Autor: Joan-Josep Climent, Diego Napp, Raquel Pinto, Verónica Requena

Publikováno v: Mathematics, Vol 9, Iss 12, p 1410 (2021)

In this paper, we study product convolutional codes described by state-space representations. In particular, we investigate how to derive state-space representations of the product code from the horizontal and vertical convolutional codes. We present

Externí odkaz: https://doaj.org/article/4a666ac1b0fd4895a8aa3faa1b12c604

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State representations of convolutional codes over a finite ring

Autor: Diego Napp, Raquel Pinto, Conceição Rocha

In this paper we study finite support convolutional codes over Zpr by means of an input-state-output representation. We show that the set of finite weight input-state-output trajectories associated to this type of representations has the structure of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c300b69e0409409b0908ad18cd577c65
https://hdl.handle.net/10045/125001

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Column Distances of Convolutional Codes Over ${\mathbb Z}_{p^r}$

Autor: Diego Napp, Marisa Toste, Raquel Pinto

Publikováno v: IEEE Transactions on Information Theory. 65:1063-1071

Maximum distance profile codes over finite non-binary 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 pa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3680aebccb6d43251769fe5866716b58
https://doi.org/10.1109/tit.2018.2870436

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Noncatastrophic convolutional codes over a finite ring

Autor: Diego Napp, Raquel Pinto, Conceição Rocha

Noncatastrophic encoders are an important class of polynomial generator matrices of convolutional codes. When these polynomials have coefficients in a finite field, these encoders have been characterized are being polynomial left prime matrices. In t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::949a64f5b67fdcfc873c0e96e48e4b7a
http://arxiv.org/abs/2104.06754

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A matrix based list decoding algorithm for linear codes over integer residue rings

Autor: Diego Napp, Raquel Pinto, Elif Saçıkara, Marisa Toste

Publikováno v: Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

In this paper we address the problem of list decoding of linear codes over an integer residue ring Zq, where qis a power of a prime p. The proposed procedure exploits a particular matrix representation of the linear code over Zpr, called the standard

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8123bebe1c12ed0da9785c6801ffac15
http://hdl.handle.net/10773/30499

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A new rank metric for convolutional codes

Autor: Paulo José Fernandes Almeida, Diego Napp

Publikováno v: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP

Let F[D] be the polynomial ring with entries in a finite field F. Convolutional codes are submodules of F[D]n that can be described by left prime polynomial matrices. In the last decade there has been a great interest in convolutional codes equipped

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c21324c6e9798364e6f91c7f00e49fe0
http://hdl.handle.net/10045/112285

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State realizations of 2-periodic convolutional codes: a switching system approach

Autor: Paula Rocha, Diego Napp, Raquel Pinto, Ricardo Pereira, Ettore Fornasini

In this work we investigate the realization problem of periodic convolutional codes. As convolutional codes are discrete linear systems over a finite field we use systems theory techniques to address our problem. In particular, we aim at deriving and

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::befde65784c145b05412a5655b1a3aa0

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Locally Repairable Convolutional Codes With Sliding Window Repair

Autor: Umberto Martínez-Peñas, Diego Napp

Publikováno v: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)
ISIT

Locally repairable convolutional codes (LRCCs) for distributed storage systems (DSSs) are introduced in this work. They enable local repair, for a single node erasure (or more generally, $ \partial - 1 $ erasures per local group), and sliding-window

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::032f147c12e93dd02b87fb19ec7485a2
https://hdl.handle.net/10045/108411

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Generalized Column Distances

Autor: Marcelo Firer, Sara D. Cardell, Diego Napp

Publikováno v: RUA. Repositorio Institucional de la Universidad de Alicante
Universidad de Alicante (UA)

The notion of Generalized Hamming weights of block codes has been investigated since the nineties due to its significant role in coding theory and cryptography. In this paper we extend this concept to the context of convolutional codes. In particular

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b83cd2804f152e33ac3e5a663eb6b2d2
https://hdl.handle.net/10045/109876

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