Primitive Vector Cipher(PVC): A Hybrid Encryption Scheme based on the Vector Computational Diffie-Hellman (V-CDH) Problem
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866914179569418240 |
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| author | BİLİR, Gülçin ÇİVİ |
| author_facet | BİLİR, Gülçin ÇİVİ |
| contents | This work introduces the Primitive Vector Cipher (PVC), a novel hybrid encryption scheme integrating matrix-based cryptography with advanced Diffie-Hellman key exchange. PVC's security is grounded on the established hardness of the Vector Computational Diffie- Hellman (V-CDH) problem. The two-layered design uses HKDF to mask plaintext via a DH-authenticated shared primitive vector and randomize cipher blocks with a per-block offset. This approach eliminates deterministic repetitions and provides strong resistance against linear and known-plaintext attacks. PVC's block-wise structure allows for massive parallelism and excellent linear scaling. Security is formally analyzed, demonstrating INDCPA security under V-CDH. STS protocol integration elevates security toward IND-CCA guarantees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04237 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Primitive Vector Cipher(PVC): A Hybrid Encryption Scheme based on the Vector Computational Diffie-Hellman (V-CDH) Problem BİLİR, Gülçin ÇİVİ Cryptography and Security 94A60, 94A72, 11T71, 68P25, 68R01 This work introduces the Primitive Vector Cipher (PVC), a novel hybrid encryption scheme integrating matrix-based cryptography with advanced Diffie-Hellman key exchange. PVC's security is grounded on the established hardness of the Vector Computational Diffie- Hellman (V-CDH) problem. The two-layered design uses HKDF to mask plaintext via a DH-authenticated shared primitive vector and randomize cipher blocks with a per-block offset. This approach eliminates deterministic repetitions and provides strong resistance against linear and known-plaintext attacks. PVC's block-wise structure allows for massive parallelism and excellent linear scaling. Security is formally analyzed, demonstrating INDCPA security under V-CDH. STS protocol integration elevates security toward IND-CCA guarantees. |
| title | Primitive Vector Cipher(PVC): A Hybrid Encryption Scheme based on the Vector Computational Diffie-Hellman (V-CDH) Problem |
| topic | Cryptography and Security 94A60, 94A72, 11T71, 68P25, 68R01 |
| url | https://arxiv.org/abs/2512.04237 |