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arXiv:1503.04238math.NT

A Knapsack-Like Code Using Recurrence Sequence Representations

Nathan Hamlin, Bala Krishnamoorthy, William Webb

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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.

arXiv comments
9 pages
Journal reference
Fibonacci Quarterly. 1(53), 24-33 (2015)
DOI
Subjects
math.NTNumber Theory cs.CRCryptography and Security cs.ITInformation Theory

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    • It's kind of sad when university press departments don't include a link to the actual research. The paper that this summarizes can be found at http://arxiv.org/pdf/1503.04238v1.pdf (I thought the summary was pretty clear and unusually technically accurate, although they don't…

      schoenView on HNParent context

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