Paper 2025/1481

A Camera Zoom-based Paper-Pencil Cipher Encryption Scheme atop Merkle–Hellman Knapsack Cryptosystem

Gopal Anantharaman, KnotTheory.ai Inc.
Jintai Ding, Xi’an Jiaotong–Liverpool University
Abstract

A Symmetric Key Encryption scheme using Camera Zooming is pre- sented using a familiar Paper-pencil cipher. The Camera can have a mag- nification/scaling up to some integer. The encrypter and decrypter are two hardware systems that are assumed to have the capability to zoom a given image with text from the resolution of a single character to a page by applying an appropriate scaling factor and an appropriate polynomial time zoom algorithm. Using the symmetric key, the Camera or a zooming algorithm implementation repeatedly zooms on different boxes in an im- age filled with cipher text and spurious redundant non-correlated pseudo- random data. Then, it decrypts the cipher using the Merkle-Hellman Knapsack Cryptosystem (MHKC) trapdoor algorithm or variants for ef- ficient encryption/decryption. As shown, the MHKC algorithm’s crypt- analysis vulnerability using Lattice-based LLL and other density attacks would not affect this scheme—as long as the key is private.

Metadata
Available format(s)
PDF
Category
Secret-key cryptography
Publication info
Preprint.
Keywords
Symmetric Key EncryptionEncryption SchemesComputer Vision
Contact author(s)
gopal @ knottheory ai
History
2025-08-20: approved
2025-08-15: received
See all versions
Short URL
https://ia.cr/2025/1481
License
Creative Commons Attribution-NonCommercial
CC BY-NC

BibTeX

@misc{cryptoeprint:2025/1481,
      author = {Gopal Anantharaman and Jintai Ding},
      title = {A Camera Zoom-based Paper-Pencil Cipher Encryption Scheme atop Merkle–Hellman Knapsack Cryptosystem},
      howpublished = {Cryptology {ePrint} Archive, Paper 2025/1481},
      year = {2025},
      url = {https://eprint.iacr.org/2025/1481}
}
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