Paper 2025/2329 Original: eprint.iacr.org/2025/2329 ↗

A note on ``a fully dynamic multi-secret sharing scheme with redundant authorization''

Zhengjun Cao
Lihua Liu
Abstract

We show that the secret sharing scheme [Cryptogr. Commun. 16(1): 3-20 (2024)] cannot be put into practice. (1) It confused the elements in a residue class ring modulo a prime $p$ with the points in an elliptic curve group over the finite field $F_p$. (2) It confused the underlying elliptic curve with the Lagrange interpolating curve, and falsely requires the interpolating polynomial to map a point on the elliptic curve to another point on the same elliptic curve. (3) It misuses the bit-wise XOR operator for the operands with unequal bit-length, which results in the exposure of any participant's share, and the loss of confidentiality.

Metadata
Available format(s)
PDF
Category
Attacks and cryptanalysis
Publication info
Preprint.
History
2025-12-28: last updated
2025-12-28: published
Short URL
https://ia.cr/2025/2329
License
https://creativecommons.org/publicdomain/zero/1.0/

BibTeX

@misc{cryptoeprint:2025/2329,
      author = {Zhengjun Cao and Lihua Liu},
      title = {A note on ``a fully dynamic multi-secret sharing scheme with redundant authorization''},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/2329},
      year = {2025},
      url = {https://eprint.iacr.org/2025/2329}
}
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