Minimum distances of LDPC codes in 5G standard

V. R. Danilko; I. Yu. Mogilnykh; Ya. A. Tikhomolov

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arXiv · 2607.04716

Minimum distances of LDPC codes in 5G standard

V. R. Danilko·I. Yu. Mogilnykh·Ya. A. Tikhomolov

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Abstract

We propose several approaches for bounding the minim\-um distances of the family of quasi-cyclic LDPC codes in the 5G NR standard. In particular, we show that the high-rate [9984, 8448] and the low-rate [25344, 8448] BG1 5G LDPC codes have minimum distances in the ranges {8..14} and {22..57}, respectively. Also we propose a new early termination approach based on circulant modular reduction, which significantly lowers syndrome calculation complexity for the LDPC decoder.

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V. R. Danilko, I. Yu. Mogilnykh, Ya. A. Tikhomolov. 2026-07-06. Minimum distances of LDPC codes in 5G standard. https://arxiv.org/abs/2607.04716

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