MDS 2D convolutional codes with optimal 1D horizontal projections

DOI10.1007/s10623-017-0357-1zbMath1412.94238OpenAlexW2604769107MaRDI QIDQ1696045

Raquel Pinto, D. Napp Avelli, P. J. Almeida

Publication date: 14 February 2018

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10773/18547

zbMATH Keywords

MDS codesoptimal codessuperregular matrices2D convolutional codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Convolutional codes (94B10)

Related Items (3)

A decoding algorithm for 2D convolutional codes over the erasure channel ⋮ A new rank metric for convolutional codes ⋮ Serial concatenation of a block code and a 2D convolutional code

Cites Work

• Unnamed Item
• Decoding of 2D convolutional codes over an erasure channel
• Superregular matrices and applications to convolutional codes
• A construction of MDS 2D convolutional codes of rate \(1/n\) based on superregular matrices
• On MDS convolutional codes over \(\mathbb{Z}_{p^r}\)
• A minimum distance bound for quasi-\(n\)D-cyclic codes
• Input-state-output representations and constructions of finite support 2D convolutional codes
• On superregular matrices and MDP convolutional codes
• On minimal realization over a finite chain ring
• On 2D finite support convolutional codes: An algebraic approach
• A new class of superregular matrices and MDP convolutional codes
• Realization of 2D convolutional codes of rate \(\frac{1}{n}\) by separable Roesser models
• Convolutional Codes With Maximum Column Sum Rank for Network Streaming
• Maximum Distance Separable 2D Convolutional Codes
• On MDS codes via Cauchy matrices
• Strongly-MDS convolutional codes
• The Existence of Strongly MDS Convolutional Codes
• Algebraic aspects of two-dimensional convolutional codes
• BCH convolutional codes
• Constructions of MDS-convolutional codes
• Locally Invertible Multidimensional Convolutional Encoders
• Decoding of Convolutional Codes Over the Erasure Channel
• Two-Dimensional Information Theory and Coding
• On Classical and Quantum MDS-Convolutional BCH Codes
• MDS Convolutional Codes Over a Finite Ring
• Gröbner bases for problem solving in multidimensional systems

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