Emmanuel Abbe

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20232026

most citedReed-Muller codes have vanishing bit-error probability below capacity: a simple tighter proof via camellia boosting

1 citations · 1 across the 3 of their papers we have counts for

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cs.IT2026

Tensor Reed-Muller Codes: Achieving Capacity with Quasilinear Decoding Time

Emmanuel Abbe, Colin Sandon, Oscar Sprumont

Define the codewords of the Tensor Reed-Muller code $TRM (r_{1}, m_{1}; r_{2}, m_{2}; \dots; r_{t}, m_{t})$ to be the evaluation vectors of all multivariate polynomials in the variables $\le…