Efficient and Privacy-Preserving Energy Trading on Blockchain Using Dual Binary Encoding for Inner Product Encryption

. 2021 Mar 12;21(6):2024. doi: 10.3390/s21062024

Algorithm 1

Y (V_{n}, D)

: Subroutine to encode 0 or a power of 2

Input:
Value to be encoded $V_{n}$ , size of a vector D
Ensure:
$D \geq 3$ , $V_{n}$ is 0 or a power of 2 in the range $R \in [0, 2^{D - 2}]$
Output:
D-dimensional vector with an encoded value $y = (y_{0}, \dots, y_{D - 1})$
1:
if $V_{n} = 0$ then
2:
$p \leftarrow 0$ {p: Position of 1}
3:
else
4:
$p \leftarrow {log}_{2} V_{n} + 1$
5:
end if
6:
for $i = 0$ to D do { $0 \leq i < D$ }
7:
if $i = p$ then
8:
$y_{i} \leftarrow 1$
9:
else
10:
$y_{i} \leftarrow 0$
11:
end if
12:
end for
13:
return $y$