1
PhD Student ,University of Kashan , Kashan, Iran
2
Associate Professor,University of Kashan , Kashan, Iran
Abstract
One of the significant issues in cryptography is the vulnerability of secret sharing schemes to quantum attacks. This paper introduces a verifiable secret sharing scheme using the Lindner-Pinkert post-quantum cryptosystem. The security of this scheme against quantum attacks is proven due to the employment of the Lindner-Pinkert post-quantum cryptosystem. The scheme is built upon the Learning with Errors (LWE) problem on a ring, which is an algebraic variant of the LWE problem. In this scheme, parameters are chosen from a polynomial ring using the Gaussian distribution. Since all public key and share parameters are resistant to quantum attacks, this scheme eliminates the need for a secure channel.
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