# Non Binary Polar Codes with Equidistant Transform for Transmission over the AWGN Channel

## TL;DR

This paper introduces Equidistant Polarizing Transforms for non-binary polar codes over AWGN channels, improving their distance spectrum and finite-length performance with a simple design procedure.

## Contribution

It proposes a novel class of Equidistant Polarizing Transforms that optimize the distance spectrum for non-binary polar codes, demonstrated with a q=5 PSK example.

## Key findings

- Achieves better distance spectrum bounds
- Shows performance gains over existing methods
- Provides a simple design procedure for transforms

## Abstract

Finding fast polarizing transforms is an important problem as polar codes suffer from slow finitelength performance. This paper considers non binary polar codes for transmission over the AWGN channel and designs polarizing transforms with better distance characteristics using a simple procedure for signal sets. The main idea of the paper is to define Equidistant Polarizing Transforms and show that they achieve the best distance spectrum bound. We provides an example of such transform for q = 5. In this case PSK-type signal set is used. Finally, we show performance gains and some comparison with other methods.