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.

翻译：本文提出了原始向量密码（PVC），这是一种新型混合加密方案，将基于矩阵的密码学与高级Diffie-Hellman密钥交换相结合。PVC的安全性建立在向量计算Diffie-Hellman（V-CDH）问题的已知困难性基础上。其双层设计使用HKDF通过DH认证的共享原始向量掩盖明文，并通过每块偏移量随机化密文块。该方法消除了确定性重复，并对线性攻击和已知明文攻击提供了强抵抗力。PVC的块状结构支持大规模并行处理和优异的线性扩展性。通过形式化安全分析，证明了其在V-CDH假设下的IND-CPA安全性。结合STS协议可进一步提升安全性，趋近IND-CCA保障。