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


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

lambda = 192
q = 127
l = 10
v = 820
m = 90
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 = 111111111111111111111111111111111111111111111111
y_input = 01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

#####################################################
### KeyGen
#####################################################
seed_pk = c172f9b5360282a13ca1855c6c05fd9e
S' = 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### Sign
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L = 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
u = 42526d5f20366d33770f776f233f3219011434457c4e662a2d710837414c546176706a2b4d680a7704213b0e7547544217015e686079700f4909644d4f0459612b1c5f3d1849451c3a076719084259573b1f5073753a14010751
t = 17610214051a0c12486a2a2d6d1c1c70251b603376585e2c0b2200102f76403f7a0c32060b745c3301416646510e1257672e7e1f1546696b7c59356b3d57130173633f74191b190806347e34616c1e392155776b346f146e7844
y_solution = 153935315a472b0773447253217b1c747a15484f632d156e5e03740a795828191e102b5d3d2a1b322d0a3a290f2d1237396b2462467c6a0e58221f382a24492e610c6f066709684920185b5c1e0027034000430572417724481f
s = 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

#####################################################
### Verify
#####################################################
t' = 17610214051a0c12486a2a2d6d1c1c70251b603376585e2c0b2200102f76403f7a0c32060b745c3301416646510e1257672e7e1f1546696b7c59356b3d57130173633f74191b190806347e34616c1e392155776b346f146e7844
