Paper 2022/423

Polynomial Approximation of Inverse sqrt Function for FHE

Samanvaya Panda

Abstract

Inverse sqrt and sqrt function have numerous applications in linear algebra and machine learning such as vector normalisation, eigenvalue computation, dimensionality reduction, clustering, etc. This paper presents a method to approximate and securely perform the inverse sqrt function using CKKS homomorphic encryption scheme. Since the CKKS homomorphic scheme allows only computation of polynomial functions, we propose a method to approximate the inverse sqrt function polynomially. In the end, we provide an implementation of our method for the inverse sqrt function.

Metadata
Available format(s)
PDF
Category
Implementation
Publication info
Published elsewhere. CSCML- 2022
Keywords
Polynomial ApproximationInverse sqrtHomomorphic encryptionCKKS
Contact author(s)
samanvaya panda @ research iiit ac in
History
2022-04-06: received
Short URL
https://ia.cr/2022/423
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2022/423,
      author = {Samanvaya Panda},
      title = {Polynomial Approximation of Inverse sqrt Function for {FHE}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/423},
      year = {2022},
      url = {https://eprint.iacr.org/2022/423}
}
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