#####################################################
### 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 = SHAKE

#####################################################
### 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 = 45264c752111244f3d52026b4c745c243d370c4375125f2e340638655a32183108764b063e6627173e33522e59660e5e7c1b05094b0f5e44303f65582e0e3c220f2d290e0f310e3b2e7a0b0100326d077d0b595a1e2c2807275f
t = 17610214051a0c12486a2a2d6d1c1c70251b603376585e2c0b2200102f76403f7a0c32060b745c3301416646510e1257672e7e1f1546696b7c59356b3d57130173633f74191b190806347e34616c1e392155776b346f146e7844
y_solution = 6d3e072f64012b43570f723e017b2e5a0f060742617d770f75224532284f026a2400774f597d603e205c591c7d6a353b362047434d704e4146272c22603f5e284939644b49184e43773f0940150f6d777e39273f2c6c36725a4a
s = 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### Verify
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t' = 17610214051a0c12486a2a2d6d1c1c70251b603376585e2c0b2200102f76403f7a0c32060b745c3301416646510e1257672e7e1f1546696b7c59356b3d57130173633f74191b190806347e34616c1e392155776b346f146e7844
