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There are two main differences between our cryptosystem and ASC.
We analyze the robustness of HyDEn by estimating the probability of success for a brute-force attack, and we provide a comparative assessment between our cryptosystem and other cryptographic techniques with performance characteristics described in the literature.
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It is the lagest difference between ASC and our cryptosystem.
Our cryptosystem has significant error tolerance and adds another dimension to the information security field.
In section 3 we describe our cryptosystem including some remarks on it and give a method to construct a diophantine equation of degree increasing type with a given solution.
We provide a detailed comparison between our approach and additive homomorphic cryptosystems in Section 4. In our proposed approach, we make use of oblivious transfer [7, 18, 19].
In this section we estimate the sizes of keys and cipher polynomials so that our cryptosystem can be expected to have 128 bit-security.
We implemented in Magma V2.19-7 V2.19-7 [5e source code of our cryptosystem (file name: crypto-okumura.txt) is available at http://imi.kyushu-u.ac.jp/(tilde )s-okumura/.
Now, we describe our cryptosystem.
We give some remarks on our cryptosystem.
Finally, we estimate the size of keys of our cryptosystem.
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