Constant Weight Polar Codes through Periodic Markov Processes

Boaz Shuval; Ido Tal

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arXiv · 2501.12379

Constant Weight Polar Codes through Periodic Markov Processes

Boaz Shuval·Ido Tal

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Abstract

Constant weight codes can arise from an input process sampled from a periodic Markov chain. A previous result showed that, in general, polarization does not occur for input-output processes with an underlying periodic Markov chain. In this work, we show that if we fix the initial state of an underlying periodic Markov chain, polarization does occur. Fixing the initial state is aligned with ensuring a constant weight code.

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Boaz Shuval, Ido Tal. 2025-01-21. Constant Weight Polar Codes through Periodic Markov Processes. https://arxiv.org/abs/2501.12379

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