New constructions of binary cyclic codes [2^m-1, 2^{m-1}±1, d] with d ≥ 2^{m/2}-1 and d^perp ≥ 2^{m/2} (m even), plus similar families for m odd and m product of two primes, achieving d·d^perp asymptotically 2n.
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Generalizes the Guruswami-Wooters repair scheme to GRM codes to achieve bandwidth close to the lower bound for single failures when the subfield is small, and extends the approach to multiple failures while computing expected bandwidth over erasure patterns.
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Repairing Generalized Reed-Muller Codes
Generalizes the Guruswami-Wooters repair scheme to GRM codes to achieve bandwidth close to the lower bound for single failures when the subfield is small, and extends the approach to multiple failures while computing expected bandwidth over erasure patterns.