Personne

Kirill Ivanov

Cette personne n’est plus à l’EPFL

Publications associées (8)

Symmetry in design and decoding of polar-like codes

The beginning of 21st century provided us with many answers about how to reach the channel capacity. Polarization and spatial coupling are two techniques for achieving the capacity of binary memoryless symmetric channels under low-complexity decoding algor ...

EPFL2022

On the Efficiency of Polar-Like Decoding for Symmetric Codes

Rüdiger Urbanke, Kirill Ivanov

The recently introduced polar codes constitute a breakthrough in coding theory due to their capacity-achieving property. This goes hand in hand with a quasilinear construction, encoding, and successive cancellation list decoding procedures based on the Plo ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

Polar Codes Do Not Have Many Affine Automorphisms

Rüdiger Urbanke, Kirill Ivanov

Polar coding solutions demonstrate excellent performance under the list decoding that is challenging to implement in hardware due to the path sorting operations. As a potential solution to this problem, permutation decoding recently became a hot research t ...

IEEE2022

Experimental quantum key distribution certified by Bell's theorem

Rüdiger Urbanke, Kirill Ivanov

Cryptographic key exchange protocols traditionally rely on computational conjectures such as the hardness of prime factorization(1) to provide security against eavesdropping attacks. Remarkably, quantum key distribution protocols such as the Bennett-Brassa ...

NATURE PORTFOLIO2022

On the dependency between the code symmetries and the decoding efficiency

Rüdiger Urbanke, Kirill Ivanov

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 representatives of such codes and can be considered as two extreme cases. Reed-Mul ...

IEEE2020

Fast Block Sequential Decoding of Polar Codes

Kirill Ivanov

A reduced complexity sequential decoding algorithm for polar (sub) codes is described. The proposed approach relies on a decomposition of the polar (sub) code being decoded into a number of outer codes, and on-demand construction of codewords of these code ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Improved decoding of second-order Reed-Muller codes

Rüdiger Urbanke, Kirill Ivanov

In this paper, we consider low-complexity decoding of second-order Reed-Muller codes. A class of polynomial-time algorithms, based on the projections onto first-order codes, is studied. An old representative of this class, originally developed for binary s ...

IEEE2019

Permutation-based Decoding of Reed-Muller Codes in Binary Erasure Channel

Rüdiger Urbanke, Kirill Ivanov

In this paper, we consider the problem of decoding Reed-Muller (RM) codes in binary erasure channel. We propose a novel algorithm, which exploits several techniques, such as list recursive (successive cancellation) decoding based on Plotkin decomposition, ...

IEEE2019