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


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

lambda = 256
q = 127
l = 10
v = 1040
m = 110
f = x^10 - 2 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 = 1111111111111111111111111111111111111111111111111111111111111111
y_input = 0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

#####################################################
### KeyGen
#####################################################
seed_pk = c172f9b5360282a13ca1855c6c05fd9e
S' = 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### Sign
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L = 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u = 06502408260d12561a721f7e5f776517067e05226556671c667a403f096529500f3d262b44676421001b014d150f583a3e5e5c396157715812231a6243082f751729201b4f15443b233a275f4658401d41685d263b6a5b2a721a124b5e5b037d4728380c2c3d313540720c116850
t = 4019016e4a13005b005a772e0f3e301f7e45420a33541e2c1f532f18417c5a39622d3122370a744b2e57507077481f5c0d537b481c332b22780a1b0b3c0c6d2675160320796749533b2661513c5246673b73096e3a3714055e316e555e685a55484a7808537b50323d1834174d37
y_solution = 7b350352204b4f687d0405424361434734670304695e7d515d412b3d15530155092e344e2972402f593b2306431e0c533f360e720e3b64077845103e7d5477004532127e1072134a564370540a217d0e11133e6a3b5e2a13524d2112082f1867721b360d245e0c0f5618337a3344
s = 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### Verify
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t' = 4019016e4a13005b005a772e0f3e301f7e45420a33541e2c1f532f18417c5a39622d3122370a744b2e57507077481f5c0d537b481c332b22780a1b0b3c0c6d2675160320796749533b2661513c5246673b73096e3a3714055e316e555e685a55484a7808537b50323d1834174d37
