K-XMSS and K-SPHINCS+: Enhancing Security in Next-Generation Mobile Communication and Internet Systems with Hash Based Signatures Using Korean Cryptography Algorithms

. 2023 Aug 31;23(17):7558. doi: 10.3390/s23177558

Algorithm 1 Tandem DM scheme of hash function based on block cipher

Input: M (Message),

M L

(Message Length)
Output: Hash value

1:
n = Block size
2:
for $i = 0$ to ML/n do
3:
$M [i]$ : Size of Block size
4:
$K e y \leftarrow G_{i}, M [i]$ (if $G_{0}$ , use a initialization Vector)
5:
$R K \leftarrow R o u n d K e y G e n e r a t e (K e y)$
6:
$W \leftarrow E n c r y t i o n (H_{i}, R K)$ (if $H_{0}$ , use a initialization Vector)
7:
$K e y \leftarrow M [i], W$
8:
$R K \leftarrow R o u n d K e y G e n e r a t e (K e y)$
9:
$T E M P \leftarrow E n c r y t i o n (G_{i}, R K)$ (if $G_{0}$ , use a initialization Vector)
10:
$H_{i + 1} \leftarrow H_{i} \oplus W_{i}$
11:
$G_{i + 1} \leftarrow G_{i} \oplus T E M P$
12:
end for
13:
return $H a s h v a l u e \leftarrow H, G$