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


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

lambda = 256
q = 127
l = 3
v = 306
m = 105
f = x^3 -   x   - 1
W = 
[[1, 0, 0],
 [0, 0, 1],
 [0, 1, 0]]
PRG = SHAKE

#####################################################
### Fixed Test Inputs
### All values are expressed by hexstring
#####################################################
seed_sk = 1111111111111111111111111111111111111111111111111111111111111110
message = 68656c6c6f776f726c64
salt rho = 1111111111111111111111111111111111111111111111111111111111111111
y_input = 010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

#####################################################
### KeyGen
#####################################################
seed_pk = c172f9b5360282a13ca1855c6c05fd9e
S' = 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### Sign
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L = 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
u = 1f2876445c497344016d692d0b0e7d4e3f5d2557770f1a536e66651b4430715268551f2371184d632764184c5f5920550d1f596952561367635e05033610792e0e7b194c0f6b4944321c4312690e121a08423c0d181d03006e18192b59611f5b5a5f4b1147607c0546
t = 4019016e4a13005b005a77180f3e301f7e45420a33541e2c1f532f18417c5a39622d3122370a744b2e57507077481f5c0d537b481c332b22780a1b0b3c0c6d2675160320796749533b2661513c5246673b73096e3a3714055e316e555e685a55484a7808537b50323d
y_solution = 2e060f6e105f627b2479454f204b107c634a6a2b1463190a63740c5941224e583e4f1b2d057b09320676196838754d6d2c4a4f3a066c67046a1f5e0a327661032023310e254a146f444a0672254d5e1f664d28761a3c2b0d195f165a6606521a16795064165e256e17
s = 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### Verify
#####################################################
t' = 4019016e4a13005b005a77180f3e301f7e45420a33541e2c1f532f18417c5a39622d3122370a744b2e57507077481f5c0d537b481c332b22780a1b0b3c0c6d2675160320796749533b2661513c5246673b73096e3a3714055e316e555e685a55484a7808537b50323d
