New Ideas on a New Old Type of Cipher:The Mixed-Radix One-Time Pad

Computer Science > Cryptography and Security [Submitted on 14 Jun 2026] New Ideas on a New Old Type of Cipher:The Mixed-Radix One-Time Pad Fabio F.G. Buono In a short 2012 preprint, an unconventional cipher was introduced, now in this note we take that representational core, formalize it, and use it as the basis for a clean generalization of the one-time pad to non-uniform bases, which we call the Mixed-Radix One-Time Pad (MR-OTP). And we prove that the MR-OTP achieves Shannon perfect secrecy, show that the classical binary OTP is exactly the all-bases-equal-2 special case, and that fixed-base variants recover OTPs over arbitrary alphabets. We then examine whether secret bases can lower the key entropy required for perfect secrecy (they cannot). We close with a usable session protocol based on key rolling that preserves perfect secrecy, and with an honest account of the open problems. Subjects: Cryptography and Security (cs.CR) Cite as: arXiv:2606.16040 [cs.CR]   (or arXiv:2606.16040v1 [cs.CR] for this version)   https://doi.org/10.48550/arXiv.2606.16040 Focus to learn more Related DOI: https://doi.org/10.5281/zenodo.20614326 Focus to learn more Submission history From: Fabio Francesco Gabriele Buono [view email] [v1] Sun, 14 Jun 2026 22:17:10 UTC (8 KB) Access Paper: HTML (experimental) view license Current browse context: cs.CR < prev   |   next > new | recent | 2026-06 Change to browse by: cs References & Citations NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)