Search arXiv⌕ Search

arXiv · 2610.25644

PMR-Aided Shifted-Pruning SCL-Flip Decoding for CRC-Aided Polar Codes

Abstract

We propose a posterior-mass rescue (PMR)-aided shifted-pruning SCL-flip decoder for CRC-aided polar codes. After CRC-aided SCL (CA-SCL) and differential-metric shifted-pruning recovery fail to find a CRC-valid candidate, PMR locally continues discarded prefixes stored during the initial CA-SCL pass, ranked by estimated posterior mass, without increasing the shifted-pruning retry budget. Simulation results for a (128, 64) code with the Reed-Muller (RM) rate profile and a (256, 128) code with the polarization-weight (PW) rate profile, both using an 11-bit CRC, show lower observed FER than SCLF-Diff (T = 15) and the considered literature baselines under the evaluated recovery budgets, with observed FER close to that of SCLF-Diff (T = 20). At the reported moderate and high SNRs, the average reconstruction-aware path-step count is within a few percent of that of SCLF-Diff (T = 20), while at 2.0 dB it is 9.4% and 4.3% higher for the two codes, respectively. The proposed decoder also has a larger worst-case path-step bound.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Niloufar Hosseinzadeh, Mohammad Morsali, Mohsen Moradi, Hessam Mahdavifar. 2026-10-19. PMR-Aided Shifted-Pruning SCL-Flip Decoding for CRC-Aided Polar Codes. https://arxiv.org/abs/2610.25644

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Insertion Correcting Capability for Quantum Deletion-Correcting Codes

It is conjectured that a quantum code $C$ corrects $t$ deletion errors if and only if $C$ corrects a total of $t$ insertion and deletion errors. Although this conjecture has been proved only under certain conditions, it has not been proved in general. In this paper, we prove this conjecture for general quantum codes. Specifically, we show that a quantum state after an insertion error is represented as a product state of the original multi-qudit system and the inserted quantum state. Then, we prove this conjecture by combining the previous results and this property. In addition, we define generalized insertion errors by removing the quantum channel requirement from insertion errors and present their properties.

cs.IT↗

Nonlinear Information Theory: Characterizing Distributional Uncertainty in Communication Models with Sublinear Expectation

A mathematical framework for information-theoretic analysis is established, with a new viewpoint of describing transmitted messages and communication channels by the nonlinear expectation theory, beyond classical probability framework. Based on nonlinear expectation theory, in this paper we define several fundamental concepts, such as nonlinear information entropy, nonlinear joint entropy, and nonlinear mutual information, and establish their basic properties. By using strong law of large numbers under sublinear expectations, we propose a nonlinear source coding theorem, which shows that nonlinear entropy is a sufficient achievability threshold for the achievable coding rate of uncertain-distribution sources under the maximum error probability criterion, and determines a cluster point of the achievable coding rate under the minimum error probability criterion. We also propose a nonlinear channel coding theorem, providing explicit expressions of the upper bound and a cluster point under the maximum and minimum error probability criterion, respectively, for the achievable coding rate of uncertain-distribution channels. Additionally, we propose a nonlinear rate-distortion source coding theorem, proving that the rate-distortion function based on nonlinear mutual information is a cluster point of the lossy compression performance of uncertain-distribution sources under the minimum expected distortion criterion. Finally, we show some examples and simulations to consolidate our theoretic study.

cs.IT↗

AoI-Aware Polar Code Blind Rate Adaptation

We study adaptive prefix-length selection for reliability-ordered coded transmission over $N$ coordinates, using only the $K$ most reliable, to balance age of information (AoI) against throughput. An additive-increase/decrease (AID) prefix-walk controller updates the prefix length from the last decoding outcome alone, at $O(1)$ per-slot cost with no channel estimation, inducing an irreducible birth--death chain whose mean drift fixes a unique balance point $K^\dagger$ (largest $K$ with success probability $\ge\tfrac12$), around which the stationary distribution concentrates geometrically. We derive this distribution in closed form via detailed balance and obtain exact steady-state AoI and goodput via renewal-reward analysis. Simulations on a $64$-coordinate polar code over a binary symmetric channel (BSC) confirm these predictions to within $0.3\%$. Relative to a genie-aided upper bound with perfect channel knowledge, we further quantify the goodput cost of adapting from a single feedback bit alone.

cs.IT↗