Reed–solomon codes over small fields with constrained generator matrices

• Main Authors: Greaves, Gary, Syatriadi, Jeven
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2020
• Subjects: Science::Mathematics; Reed-Solomon Codes; Small Fields
• Online Access: https://hdl.handle.net/10356/143861
• Institution: Nanyang Technological University

We give constructions of some special cases of [n, k] Reed-Solomon codes over finite fields of size at least n and n + 1 whose generator matrices have constrained support. Furthermore, we consider a generalization of the GM-MDS conjecture proposed by Lovett in 2018. We show that Lovett's conjec...