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


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

lambda = 192
q = 127
l = 3
v = 228
m = 78
f = x^3 -   x   - 1
W = 
[[1, 0, 0],
 [0, 0, 1],
 [0, 1, 0]]
PRG = AES

#####################################################
### Fixed Test Inputs
### All values are expressed by hexstring
#####################################################
seed_sk = 1111111111111111111111111111111111111111111111111111111111111110
message = 68656c6c6f776f726c64
salt rho = 111111111111111111111111111111111111111111111111
y_input = 010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

#####################################################
### 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 = 19306b2001087c0e301f414f3e16100f684a72234a637d213c4c52331b5c39774c496e5d742e3817160b685e3d415c667022425d66434e5f5e2b2a31511311446c46226657412640775a365b5d4f
t = 17610214051a0c12486a2a2d6d1c1c70251b603376585e2c0b2200102f76403f7a0c32060b745c3301416646510e1257672e7e1f1546696b7c59356b3d57130173633f74191b190806347e34616c
y_solution = 720462096c436e565926460f291b2432034350220e542e654e761b25491237527855426f695a0d2907654a24390d17535c7a4012002d20616f5a0b51153558296d0602434c784d6d1b750f695e6a
s = 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### Verify
#####################################################
t' = 17610214051a0c12486a2a2d6d1c1c70251b603376585e2c0b2200102f76403f7a0c32060b745c3301416646510e1257672e7e1f1546696b7c59356b3d57130173633f74191b190806347e34616c
