Paper 2026/467

A Note on the Equivalence Between Zero-knowledge and Quantum CSS Codes

Noga Ron-Zewi, University of Haifa
Mor Weiss, Bar-Ilan University
Abstract

Zero-knowledge codes, introduced by Decatur, Goldreich, and Ron (ePrint 1997), are error-correcting codes in which few codeword symbols reveal no information about the encoded message, and have been extensively used in cryptographic constructions. Quantum CSS codes, introduced by Calderbank and Shor (Phys. Rev. A 1996) and Steane (Royal Society A 1996), are error-correcting codes that allow for quantum error correction, and are also useful for applications in quantum complexity theory. In this short note, we show that (linear, perfect) zero-knowledge codes and quantum CSS codes are equivalent. We demonstrate the potential of this equivalence by using it to obtain explicit asymptotically-good zero-knowledge locally-testable codes.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
Keywords
Zero-Knowledge CodesQuantum CSS CodesLocally-Testable Codes
Contact author(s)
noga @ cs haifa ac il
mor weiss @ biu ac il
History
2026-03-08: approved
2026-03-06: received
See all versions
Short URL
https://ia.cr/2026/467
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2026/467,
      author = {Noga Ron-Zewi and Mor Weiss},
      title = {A Note on the Equivalence Between Zero-knowledge and Quantum {CSS} Codes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/467},
      year = {2026},
      url = {https://eprint.iacr.org/2026/467}
}
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