# Polar codes for secret sharing

## TL;DR

This paper introduces a secret sharing scheme based on Polar codes, enabling secure distribution of secrets among individuals with varying levels of authority, leveraging channel construction for information transmission.

## Contribution

The paper proposes a novel secret sharing scheme utilizing Polar codes, integrating channel-based information transmission to enhance security and flexibility.

## Key findings

- Effective secret sharing scheme using Polar codes
- Supports hierarchical access levels among members
- Demonstrates practical applicability in secure systems

## Abstract

A secret can be an encrypted message or a private key to decrypt the ciphertext. One of the main issues in cryptography is keeping this secret safe. Entrusting secret to one person or saving it in a computer can conclude betrayal of the person or destruction of that device. For solving this issue, secret sharing can be used between some individuals which a coalition of a specific number of them can only get access to the secret. In practical issues, some of the members have more power and by a coalition of fewer of them, they should know about the secret. In a bank, for example, president and deputy can have a union with two members by each other. In this paper, by using Polar codes secret sharing has been studied and a secret sharing scheme based on Polar codes has been introduced. Information needed for any member would be sent by the channel which Polar codes are constructed by it.