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The quaternions play a crucial role in various research areas such as computer graphic, integrated navigation systems, color image processing, signal processing, quantum physics etc. Consider the quaternion least-squares problem $$\begin{aligned} \min \,\,\left\| {\sum \limits _{j = 1}^q { {\left( {{A_{ij}}{X_j}{B_{ij}} + {C_{ij}}X_j^{\eta H}{D_{ij}} - {E_i}} \right) } } } \right\| ,\qquad i=1,2,\ldots...
The existing secret sharing schemes suffer from resistance against quantum attacks or requirement to a secure channel. In this paper, we introduce a verifiable multi-secret sharing scheme using NTRU cryptosystem which is a post quantum cryptosystem. Our scheme is based on multivariate polynomials and uses hash functions for verification. In addition, our scheme does not require a secure channel and...
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