On the Failure of the Smart Approach of the GPT Cryptosystem

TL;DR

This paper introduces a novel algorithm that exploits puncturing and Frobenius operator techniques to successfully break the smart approach of the GPT cryptosystem, revealing vulnerabilities in its security assumptions.

Contribution

The paper presents a new cryptanalytic method that effectively compromises the smart approach of the GPT cryptosystem using puncturing and Frobenius operator strategies.

Findings

Successfully breaks the smart approach of GPT cryptosystem

Identifies vulnerabilities through puncturing and Frobenius operator

Provides a new cryptanalytic algorithm for code-based cryptosystems

Abstract

This paper describes a new algorithm for breaking the smart approach of the GPT cryptosystem. We show that by puncturing the public code several times on specific positions, we get a public code on which applying the Frobenius operator appropriately allows to build an alternative secret key.