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A public key cryptosystem based on the partitioning of elements of vectors
A public key cryptosystem based on the partitioning of elements of vectors
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机译:基于向量元素划分的公钥密码系统
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摘要
A post-quantum, public key cryptosystem is described which is polynomial based and where the private key polynomial has coefficients from a sub-set of Galois field elements and plain text message polynomials have coefficients from a second sub-set of Galois field elements. The public key polynomial is constructed using the inverse of the private key polynomial and a randomly chosen polynomial having coefficients chosen from a third sub-set of Galois field elements. Cipher texts are constructed using the public key and randomly chosen session key polynomials. Other more complicated embodiments are described. For implementation a small prime base field such as 2, 3 or 5 will usually be used in constructing the prime power Galois field. The system has the advantage of relatively small public key sizes.
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