Post Quantum Cryptography (PQC) Signatures Without Trapdoors

Some of our current public key methods use a trap door to implement digital signature methods. This includes the RSA method, which uses Fermat's little theorem to support the creation and verification of a digital signature. The problem with a back-door is that the actual trap-door method could, in the end, be discovered. With the rise of PQC (Post Quantum Cryptography), we will see a range of methods that will not use trap doors and provide stronger proof of security. In this case, we use hash-based signatures (as used with SPHINCS+) and Fiat Shamir signatures using Zero Knowledge Proofs (as used with Dilithium).

Publication Details

Journal
ArXiv.org
Published
2025-04-18
Primary Topic
Cryptography and Data Security
Type
article
Field-Weighted Citation Impact
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article

Post Quantum Cryptography (PQC) Signatures Without Trapdoors

ArXiv.org
Cryptography and Data Security
article

Post Quantum Cryptography (PQC) Signatures Without Trapdoors

article en

Abstract

Some of our current public key methods use a trap door to implement digital signature methods. This includes the RSA method, which uses Fermat's little theorem to support the creation and verification of a digital signature. The problem with a back-door is that the actual trap-door method could, in the end, be discovered. With the rise of PQC (Post Quantum Cryptography), we will see a range of methods that will not use trap doors and provide stronger proof of security. In this case, we use hash-based signatures (as used with SPHINCS+) and Fiat Shamir signatures using Zero Knowledge Proofs (as used with Dilithium).

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Post Quantum Cryptography (PQC) Signatures Without Trapdoors · ArXiv.org (2025) | TGRS Research Map | TGRS