Expand-and-Randomize: An Algebraic Approach to Secure Computation
We consider the secure computation problem in a minimal model, where Alice and Bob each holds an input and wish to securely compute a function of their inputs at Carol without revealing any additional information about the inputs. For this minimal secure computation problem, we propose a novel codin...
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| Main Authors: | , |
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| Format: | article |
| Language: | EN |
| Published: |
MDPI AG
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/a121a166e25c46cda4c0afd1ad5e897e |
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| Summary: | We consider the secure computation problem in a minimal model, where Alice and Bob each holds an input and wish to securely compute a function of their inputs at Carol without revealing any additional information about the inputs. For this minimal secure computation problem, we propose a novel coding scheme built from two steps. First, the function to be computed is <i>expanded</i> such that it can be recovered while additional information might be leaked. Second, a <i>randomization</i> step is applied to the expanded function such that the leaked information is protected. We implement this expand-and-randomize coding scheme with two algebraic structures—the finite field and the modulo ring of integers, where the <i>expansion</i> step is realized with the <i>addition</i> operation and the <i>randomization</i> step is realized with the <i>multiplication</i> operation over the respective algebraic structures. |
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