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arXiv · 2512.04237

Primitive Vector Cipher(PVC): A Hybrid Encryption Scheme based on the Vector Computational Diffie-Hellman (V-CDH) Problem

Gülçin ÇİVİ BİLİR
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Abstract

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.

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Gülçin ÇİVİ BİLİR. 2025-12-03. Primitive Vector Cipher(PVC): A Hybrid Encryption Scheme based on the Vector Computational Diffie-Hellman (V-CDH) Problem. https://arxiv.org/abs/2512.04237

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