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Article Dans Une Revue IEEE Communications Letters Année : 2023

Dynamic Frozen-Function Design for Reed-Muller Codes With Automorphism-Based Decoding

Résumé

In this letter, we propose to add dynamic frozen bits to underlying polar codes with a Reed-Muller information set with the aim of maintaining the same sub-decoding structure in Automorphism Ensemble (AE) and lowering the Maximum Likelihood (ML) bound by reducing the number of minimum weight codewords. We provide the dynamic freezing constraint matrix that remains identical after applying a permutation linear transformation. This feature also permits to drastically reduce the memory requirements of an AE decoder with polar-like codes having dynamic frozen bits. We show that, under AE decoding, the proposed dynamic freezing constraints lead to a gain of up to 0.25 dB compared to the ML bound of the R(3, 7) Reed-Muller code, at the cost of small increase in memory requirements.
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Dates et versions

hal-04056274 , version 1 (11-05-2023)

Licence

Paternité - Pas d'utilisation commerciale

Identifiants

Citer

Samet Gelincik, Charles Pillet, Pascal Giard. Dynamic Frozen-Function Design for Reed-Muller Codes With Automorphism-Based Decoding. IEEE Communications Letters, 2023, 27 (2), pp.497-501. ⟨10.1109/LCOMM.2022.3230202⟩. ⟨hal-04056274⟩
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