Kavli Affiliate: Ke Wang
| First 5 Authors: Ke Wang, Ke Wang, , ,
| Summary:
This paper presents a comprehensive study on the asymptotically optimal
repair of Reed-Solomon (RS) codes with small sub-packetization, specifically
tailored for rack-aware distributed storage systems. Through the utilization of
multi-base expansion, we introduce a novel approach that leverages monomials to
construct linear repair schemes for RS codes. Our repair schemes which adapt to
all admissible parameters achieve asymptotically optimal repair bandwidth while
significantly reducing the sub-packetization compared with existing schemes.
Furthermore, our approach is capable of repairing RS codes with asymptotically
optimal repair bandwidth under the homogeneous storage model, achieving smaller
sub-packetization than existing methods.
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