Analysis of Low Hamming Weight Products |
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| Authors: | Jung Hee Cheon HongTae Kim |
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| Affiliation: | a ISaC and Department of Mathematics, Seoul National University, Seoul 151-737, Republic of Korea
b Korea Air Force Academy, Republic of Korea |
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| Abstract: | Hoffstein and Silverman suggested a use of Low Hamming Weight Product (LHWP) to compute a random power in a group or a multiple of an element in a ring. It reduces the computation of powers in a group with fast endomorphisms such as the Galois field F2n and Koblitz elliptic curves. In this paper, we introduce a reduced representation of LHWP and apply them to attack the relevant cryptosystems. |
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| Keywords: | Low Hamming Weight Products Exponentiations Cryptanalysis Discrete logarithm problem |
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