Paper ID | D1-S7-T2.1 |
Paper Title |
Augmented Reed-Muller Codes of High Rate and Erasure Repair |
Authors |
Hiram H. Lopez, Cleveland State University, United States; Gretchen L. Matthews, Daniel Valvo, Virginia Tech, United States |
Session |
D1-S7-T2: Algebraic Codes |
Chaired Session: |
Tuesday, 13 July, 00:00 - 00:20 |
Engagement Session: |
Tuesday, 13 July, 00:20 - 00:40 |
Abstract |
We present two families of augmented Reed-Muller codes, which are evaluation codes obtained by adding specific vectors to a Reed-Muller code. We develop exact repair schemes for single erasures for these two families of evaluation codes and analyze the asymptotical behavior when each family achieves the maximum rate.
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