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Generalized column distances for convolutional codes

Author(s):
Cardell, Sara D. ; Firer, Marcelo ; Napp, Diego ; IEEE
Total Authors: 4
Document type: Journal article
Source: 2017 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT); v. N/A, p. 5-pg., 2017-01-01.
Abstract

In this work, we adapt the notion of generalized Hamming weight of block codes to introduce the novel concept of generalized column distances for convolutional codes. This can be considered as an extension of the work done in [18] on the generalized Hamming weights for free distance of convolutional codes. We also introduce the concept of Almost-MDP and Near-MDP convolutional code. The problem of constructing convolutional codes with design generalized column distances remains an interesting open problem that requires further research. (AU)

FAPESP's process: 15/07246-0 - Construction, decoding and implementation of F_q linear codes. Performanca of SPC product codes and cryptanalysis of the shrinking generators.
Grantee:Sara Díaz Cardell
Support Opportunities: Scholarships in Brazil - Post-Doctoral
FAPESP's process: 13/25977-7 - Security and reliability of Information: theory and practice
Grantee:Marcelo Firer
Support Opportunities: Research Projects - Thematic Grants