Paper 2025/2329
A note on ``a fully dynamic multi-secret sharing scheme with redundant authorization''
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.
- Keywords
- Secret sharingResidue class ringElliptic curve groupLagrange interpolating polynomialConfidentiality.
- Contact author(s)
- liulh @ shmtu edu cn
- History
- 2025-12-29: approved
- 2025-12-28: received
- See all versions
- Short URL
- https://ia.cr/2025/2329
- License
-
CC0
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}
}
