cyclotomic coset representatives
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Robust Repair of Reed-Solomon Codes
arXiv:2606.05573v1 Announce Type: new Abstract: We study the problem of robust repair of a single erasure in Reed--Solomon codes under low communication bandwidth. Focusing on the Guruswami--Wootters trace repair framework, we investigate whether a failed node can be correctly repaired in the presence of erroneous responses from helper nodes. Equivalently, we view the collection of downloaded traces as a code, which we call the repair-trace code.