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A Somewhat Homomorphic Encryption Scheme based on Multivariate Polynomial Evaluation

Cryptography and Security 2019-02-18 v1

Abstract

We propose a symmetric key homomorphic encryption scheme based on the evaluation of multivariate polynomials over a finite field. The proposed scheme is somewhat homomorphic with respect to addition and multiplication. Further, we define a generalization of the Learning with Errors problem called the Hidden Subspace Membership problem and show that the semantic security of the proposed scheme can be reduced to the hardness of this problem.

Keywords

Cite

@article{arxiv.1902.05771,
  title  = {A Somewhat Homomorphic Encryption Scheme based on Multivariate Polynomial Evaluation},
  author = {Uddipana Dowerah and Srinivasan Krishnaswamy},
  journal= {arXiv preprint arXiv:1902.05771},
  year   = {2019}
}

Comments

10 pages, conference

R2 v1 2026-06-23T07:41:55.028Z