Paper 2026/1362 Original: eprint.iacr.org/2026/1362 ↗

From Cramer Rule to Lagrange Interpolation

Zhengjun Cao
Lihua Liu
Abstract

Multivariate interpolation arises in a wide range, including computer graphics, multi-secret sharing and secure multiparty computation. But its general representation is rarely discussed. In this note, a general representation for univariate interpolation and multivariate interpolation is formulated, which is helpful for multi-secret sharing illustrations and security arguments. The finding offers a new glimpse into the relation between Cramer rule and Lagrange interpolation formula.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2026-07-02: last updated
2026-07-02: published
Short URL
https://ia.cr/2026/1362
License
https://creativecommons.org/publicdomain/zero/1.0/

BibTeX

@misc{cryptoeprint:2026/1362,
      author = {Zhengjun Cao and Lihua Liu},
      title = {From Cramer Rule to Lagrange Interpolation},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/1362},
      year = {2026},
      url = {https://eprint.iacr.org/2026/1362}
}
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