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


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

lambda = 128
q = 127
l = 3
v = 156
m = 54
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 = 11111111111111111111111111111111
y_input = 010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

#####################################################
### 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 = 5457732043322f6c3c6d700937471b555a4e6d5027692014285766172c0b715178584c3d1d0c547d3758627636383e7161220c2b6428
t = 107d263c7e19197d713f6564626d0f4711482e4f056a69104d5b7e5e7d0243032b2c771d6a79266674610c66257e416c00344644395e
y_solution = 1f7041473609346e075e277a250b7647345f73025d07265c1b6e1405213a603344225010660d3403102055613f665d257a7a15171204
s = 2b491d4471177162334b6b4469725916601807663c1f730b772b7e11624c5b6547014c2a3e57086553201e77157d190d2f21274f4d21277479392e04115c28663244114e3735780e032f783f651902097c114f5b281947352f252f527e2120200557304851723404012e327577566d0640334b12337c0f606b600c153c643043475b691266596c43251f3c31263f2473023c6d677c4e6207137a0702600f3e3849764b11782158055a7409384b200c7d2278592364116b7a5e451f4c3b5d2f6f19724b7c6f5f2a1e4019225a05056a686d7b

#####################################################
### Verify
#####################################################
t' = 107d263c7e19197d713f6564626d0f4711482e4f056a69104d5b7e5e7d0243032b2c771d6a79266674610c66257e416c00344644395e
