Paper 2022/1310 Original: eprint.iacr.org/2022/1310 ↗

Power Residue Symbol Order Detecting Algorithm for Subset Product over Algebraic Integers

Trey Li
Abstract

We give a probabilistic polynomial time algorithm for high F_ell-rank subset product problem over the order O_K of any algebraic field K with O_K a principal ideal domain and the ell-th power residue symbol in O_K polynomial time computable, for some rational prime ell.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2022-10-03: last updated
2022-10-03: published
Short URL
https://ia.cr/2022/1310
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2022/1310,
      author = {Trey Li},
      title = {Power Residue Symbol Order Detecting Algorithm for Subset Product over Algebraic Integers},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1310},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1310}
}
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