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Device-Independent Oblivious Transfer
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===Protocol 2: Self-testing with a single verifier=== '''Requirements:''' ENTCF function family, classical communication # Alice chooses the state bases <math>\theta^A,\theta^B \in </math> {'''Computational,Hadamard'''} uniformly at random and generates key-trapdoor pairs <math>(k^A,t^A),(k^B,t^B)</math>, where the generation procedure for <math>k^A</math> and <math>t^A</math> depends on <math>\theta^A</math> and a security parameter <math>\eta</math>, and likewise for <math>k^B</math> and <math>t^B</math>. Alice supplies Bob with <math>k^B</math>. Alice and Bob then respectively send <math>k^A, k^B</math> to the device. # Alice and Bob receive strings <math>c^A</math> and <math>c^B</math>, respectively, from the device. # Alice chooses a ''challenge type'' <math>CT \in \{a,b\}</math>, uniformly at random and sends it to Bob. Alice and Bob then send <math>CT</math> to each component of their device. # If <math>CT = a</math>: ## Alice and Bob receive strings <math>z^A</math> and <math>z^B</math>, respectively, from the device. # If <math>CT = b</math>: ## Alice and Bob receive strings <math>d^A</math> and <math>d^B</math>, respectively, from the device. ## Alice chooses uniformly random ''measurement bases (questions)'' <math>x,y \in</math> {'''Computational,Hadamard'''} and sends <math>y</math> to Bob. Alice and Bob then, respectively, send <math>x</math> and <math>y</math> to the device. ## Alice and Bob receive answer bits <math>a</math> and <math>b</math>, respectively, from the device. Alice and Bob also receive bits <math>h^A</math> and <math>h^B</math>, respectively, from the device.
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