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cs.IT2024
The Generating Idempotent Is a Minimum-Weight Codeword for Some Binary BCH Codes
Yaron Shany, Amit Berman
In a paper from 2015, Ding et al. (IEEE Trans. IT, May 2015) conjectured that for odd , the minimum distance of the binary BCH code of length and designed distance $2^{m…
cs.IT2024★ 1 cited
Explicit Subcodes of Reed-Solomon Codes that Efficiently Achieve List Decoding Capacity
Amit Berman, Yaron Shany, Itzhak Tamo
In this paper, we introduce a novel explicit family of subcodes of Reed-Solomon (RS) codes that efficiently achieve list decoding capacity with a constant output list size. Our app…