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cs.IT2020★ 1 cited
Capacity-achieving codes: a review on double transitivity
Kirill Ivanov, Rüdiger L. Urbanke
Recently it was proved that if a linear code is invariant under the action of a doubly transitive permutation group, it achieves the capacity of erasure channel. Therefore, it is o…
cs.IT2020★ 1 cited
Partially symmetric monomial codes
Kirill Ivanov, Rüdiger Urbanke
A framework of monomial codes is considered, which includes linear codes generated by the evaluation of certain monomials. Polar and Reed-Muller codes are the two best-known repres…