Cryptology ePrint Archive: Report 2013/394

A Public Key Cryptoscheme Using Bit-pair Shadows

Shenghui Su and Shuwang Lü and Maozhi Xu and Tao Xie

Abstract: This paper gives the definition and property of a bit-pair shadow, and devises the three algorithms of a public key cryptoscheme called JUOAN that is based on a multivariate permutation problem and an anomalous subset product problem to which no subexponential time solutions are found so far, and regards a bit-pair as a manipulation unit. The authors demonstrate that the decryption algorithm is correct, deduce the probability that a plaintext solution is nonunique is nearly zero, analyze the security of the new cryptoscheme against extracting a private key from a public key and recovering a plaintext from a ciphertext on the assumption that an integer factorization problem, a discrete logarithm problem, and a low-density subset sum problem can be solved efficiently, and prove that the new cryptoscheme using random padding and random permutation is semantically secure. The analysis shows that the bit-pair method increases the density D of a related knapsack to a number more than 1, and decreases the modulus length lgM of the new cryptoscheme to 464, 544, or 640.

Category / Keywords: Public key cryptoscheme; Semantical security; Bit-pair shadow; Random padding Anomalous subset sum problem; Compact sequence

Original Publication (with minor differences): Theoretical Computer Science, v654, Nov 2016, pp.113–127.

Date: received 17 Jun 2013, last revised 29 Apr 2017

Contact author: reesse at 126 com

Available format(s): PDF | BibTeX Citation

Note: The content has no essential change.

Version: 20170430:040524 (All versions of this report)

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