|| Augmented Reed-Muller Codes of High Rate and Erasure Repair
||Hiram H. Lopez, Cleveland State University, United States; Gretchen L. Matthews, Daniel Valvo, Virginia Tech, United States|
||D1-S7-T2: Algebraic Codes
||Tuesday, 13 July, 00:00 - 00:20
||Tuesday, 13 July, 00:20 - 00:40
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.