# Molecular Polar Belief Propagation Decoder and Successive Cancellation Decoder

## TL;DR

This paper introduces DNA-based chemical reaction network implementations of polar decoders using belief propagation and successive cancellation algorithms, validated through analysis and simulations, with potential for nanoscale device applications.

## Contribution

It presents a novel method to synthesize polar decoders via CRNs and DNA reactions, bridging coding algorithms with molecular implementation.

## Key findings

- Feasibility validated by theoretical analysis and simulations.
- Reactions can be experimentally implemented with DNA strand displacement.
- Potential for application in nanoscale devices.

## Abstract

By constructing chemical reaction networks (CRNs), this paper proposes a method of synthesizing polar decoder using belief propagation (BP) algorithm and successive cancellation (SC) algorithm, respectively. Theoretical analysis and simulation results have validated the feasibility of the method. Reactions in the proposed design could be experimentally implemented with DNA strand displacement reactions, making the proposed polar decoders promising for wide application in nanoscale devices.