#####################################################
### QR-UOV intermediate values
#####################################################


#####################################################
### Parameters
### All values are expressed by integer
#####################################################

lambda = 128
q = 31
l = 10
v = 600
m = 70
f = x^10 - 5 x^3 - 1
W = 
[[0, 0, 1, 0, 0, 0, 0, 0, 0, 0],
 [0, 1, 0, 0, 0, 0, 0, 0, 0, 0],
 [1, 0, 0, 0, 0, 0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0, 0, 0, 0, 0, 1],
 [0, 0, 0, 0, 0, 0, 0, 0, 1, 0],
 [0, 0, 0, 0, 0, 0, 0, 1, 0, 0],
 [0, 0, 0, 0, 0, 0, 1, 0, 0, 0],
 [0, 0, 0, 0, 0, 1, 0, 0, 0, 0],
 [0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
 [0, 0, 0, 1, 0, 0, 0, 0, 0, 0]]
PRG = AES

#####################################################
### Fixed Test Inputs
### All values are expressed by hexstring
#####################################################
seed_sk = 1111111111111111111111111111111111111111111111111111111111111110
message = 68656c6c6f776f726c64
salt rho = 11111111111111111111111111111111
y_input = 010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

#####################################################
### KeyGen
#####################################################
seed_pk = c172f9b5360282a13ca1855c6c05fd9e
S' = 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
Pi1 = 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### Sign
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L = 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
u = 06021c0e1b0709001d0d0a020716020b19151d0104101105101e0a091a0d161b19040f120c02091306190c14140e0e000e01181e1810050509181909081c071e1d021b080c09
t = 101d061c1e19191011160504020d0f0711080e0f050a09100d1b1e1e1d0203030b0c0c1d0a19060614010c06051e010c00140604191e1d171107140d0207050e110a021e0a15
y_solution = 140705150b100f10060406070401080813150c13110b090e180d08090e1114071d030100090f12190a151211180f1e040a170a11071400050e1511140d1a040200161b0e0213
s = 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### Verify
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t' = 101d061c1e19191011160504020d0f0711080e0f050a09100d1b1e1e1d0203030b0c0c1d0a19060614010c06051e010c00140604191e1d171107140d0207050e110a021e0a15
