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A Knapsack-Like Code Using Recurrence Sequence Representations

Number Theory 2015-03-17 v1 Cryptography and Security Information Theory math.IT

Abstract

We had recently shown that every positive integer can be represented uniquely using a recurrence sequence, when certain restrictions on the digit strings are satisfied. We present the details of how such representations can be used to build a knapsack-like public key cryptosystem. We also present new disguising methods, and provide arguments for the security of the code against known methods of attack.

Keywords

Cite

@article{arxiv.1503.04238,
  title  = {A Knapsack-Like Code Using Recurrence Sequence Representations},
  author = {Nathan Hamlin and Bala Krishnamoorthy and William Webb},
  journal= {arXiv preprint arXiv:1503.04238},
  year   = {2015}
}

Comments

9 pages

R2 v1 2026-06-22T08:52:49.087Z