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

Algorithm 2

f_{Y} (V_{Y}, D)

: Encoding a value with subroutine Y

Input:
Value to be encoded $V_{Y}$ , vector size D
Ensure:
$V_{Y} \in R = [0, 2^{D - 1} - 2]$ and $D \geq 3$
Output:
Array of vectors $[y_{0}, y_{1}, \dots, y_{D - 3}]$
1:
$N \leftarrow D - 2$ {Number of vectors}
2:
$i \leftarrow D - 2$ {Highest power of 2}
3:
$n \leftarrow 0$ {Current vector}
4:
while $n < N$ do { $0 \leq n < N$ }
5:
if $V_{Y} \geq 2^{i}$ then
6:
$y_{n} \leftarrow Y (2^{i}, D)$ {Call Algorithm 1 as a subroutine}
7:
$n \leftarrow n + 1$
8:
$V_{Y} \leftarrow V_{Y} - 2^{i}$
9:
else if $V_{Y} = 0$ then
10:
$y_{n} \leftarrow Y (0, D)$
11:
$n \leftarrow n + 1$
12:
else
13:
$i \leftarrow i - 1$
14:
end if
15:
end while
16:
return $[y_{0}, y_{1}, \dots, y_{N - 1}]$