Write, autoreview, editor, reviewer
3,129
edits
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*Input: <math>k, L, L_c</math>, classical message <math>m</math> | *Input: <math>k, L, L_c</math>, classical message <math>m</math> | ||
*Output: Homomorphic key sets <math>(pk_i,evk_i,sk_i, t_{sk_i})</math>, encrypted pad key <math>\tilde{a}, \tilde{b}</math> | *Output: Homomorphic key sets <math>(pk_i,evk_i,sk_i, t_{sk_i})</math>, encrypted pad key <math>\tilde{a}, \tilde{b}</math>, One time Padded message (<math> a\oplus m</math> ) | ||
**'''Key Generation (FHE.KeyGen(<math>1^{\lambda}, 1^L</math>))''' | **'''Key Generation (FHE.KeyGen(<math>1^{\lambda}, 1^L</math>))''' | ||
# For <math>1\leq i\leq L + 1</math>, | # For <math>1\leq i\leq L + 1</math>, | ||
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**'''Encryption (FHE.Enc<math>_{pk}(m)</math>))''' | **'''Encryption (FHE.Enc<math>_{pk}(m)</math>))''' | ||
#Client chooses pad key for each message bit <math>a,b\in\{0,1\}^{\lambda}</math>. | #Client chooses pad key for each message bit <math>a,b\in\{0,1\}^{\lambda}</math>. | ||
#She | #She one time pads the message m as <math> a\oplus m</math> (b is used for quantum input <math>X^aZ^b|\psi\rangle</math> where |\psi\rangle</math> is quantum input). | ||
#She then encrypts the pad key. HE.Enc<math>_{pk_1}(a,b))</math> | #She then encrypts the pad key. HE.Enc<math>_{pk_1}(a,b))</math> | ||
# She sends the encrypted message and pad key to the Server with the evaluation keys. | # She sends the encrypted message and pad key to the Server with the evaluation keys. |