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Linearly shift knapsack public-key cryptosystem

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4 Author(s)
Chi-Sung Laih ; Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan ; Lee, Jau-Yien ; Harn, L. ; Su, Y.-K.

Two algorithms are proposed to improve the Merkle-Hellman knapsack public-key cryptosystem. an approach to transform a superincreasing sequence to a high-density knapsack sequence is proposed. The algorithm is easy to implement and eliminates the redundancy of many knapsack cryptosystems. A linear shift method is used to improve the security of the knapsack public-key cryptosystem. It is shown that several knapsacks (e.g., the so-called useless knapsack), which cannot be generated by using the Merkle-Hellman scheme, can be generated by the linear shift method. Thus A. Shamir's (1982, 1984) attack to the original knapsack, as well as the low-density attack to the iterated knapsack, cannot be applied to this system successfully. It is interesting to note that the concept of the requirement of being one-to-one in practical enciphering keys is not necessary for this system.<>

Published in:

Selected Areas in Communications, IEEE Journal on  (Volume:7 ,  Issue: 4 )

Date of Publication:

May 1989

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