60 citations · 151 across the 27 of their papers we have counts for
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cs.IT2019★ 24 cited
Weight Distributions for Successive Cancellation Decoding of Polar Codes
Rina Polyanskaya, Mars Davletshin, Nikita Polyanskii
In this paper, we derive the exact weight distributions that emerge during each stage of successive cancellation decoding of polar codes. Though we do not compute the distance spec…
cs.IT2019
Constructions of Batch Codes via Finite Geometry
Nikita Polyanskii, Ilya Vorobyev
A primitive -batch code encodes a string of length into string of length , such that each multiset of symbols from has mutually disjoint recovering se…