New Convolutional Codes Derived from Algebraic Geometry Codes
Francisco Revson F. Pereira, Giuliano G. La Guardia, Francisco, M. de Assis
TL;DR
This paper introduces new convolutional codes derived from algebraic geometry codes, improving or matching existing parameters, including a family of almost near MDS codes, through various construction techniques.
Contribution
It presents novel convolutional codes constructed from algebraic geometry codes using multiple methods, enhancing code parameters and including near MDS codes.
Findings
New convolutional codes with improved parameters
Construction methods include puncturing, extending, and direct product
Presence of almost near MDS codes
Abstract
In this paper, we construct new families of convolutional codes. Such codes are obtained by means of algebraic geometry codes. Additionally, more families of convolutional codes are constructed by means of puncturing, extending, expanding and by the direct product code construction applied to algebraic geometry codes. The parameters of the new convolutional codes are better than or comparable to the ones available in literature. In particular, a family of almost near MDS codes is presented.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.