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arXiv · 1803.04028

A Linear Algebraic Approach to Subfield Subcodes of GRS Codes

Christian Senger·Rohit Bohara
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Abstract

The problem of finding subfield subcodes of generalized Reed-Solomon (GRS) codes (i.e., alternant codes) is considered. A pure linear algebraic approach is taken in order to derive message constraints that generalize the well known conjugacy constraints for cyclic GRS codes and their Bose-Chaudhuri-Hocquenghem (BCH) subfield subcodes. It is shown that the presented technique can be used for finding nested subfield subcodes with increasing design distance.

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Christian Senger, Rohit Bohara. 2018-03-11. A Linear Algebraic Approach to Subfield Subcodes of GRS Codes. https://arxiv.org/abs/1803.04028

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