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


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

lambda = 128
q = 31
l = 3
v = 165
m = 60
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 = 010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

#####################################################
### KeyGen
#####################################################
seed_pk = c172f9b5360282a13ca1855c6c05fd9e
S' = 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### Sign
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L = 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
u = 1d171c0705090e130e1a1a091b0e13190709141b050b120b0a0a1b150d18100917131a061c140b040c15130a0c0b121b0700080d0d17030716091617
t = 101d061c1e19190211070504020d0f0711080e0f050a09100d1b1e1e1d0203030b0c051d0a19060614010c06051e010c00140604191e1d171107140d
y_solution = 1b1d081a07040f10120b1c011e0d08051d1a080302061b1b081b1418090c0c190f171c01161a0e1900031e12071d161303051e0a16180412170d0c17
s = 0a020614120019151b1617100d15040114120b0e100f1802140815040f1512080f1a0f0b1e160a1e0a1d17010b0e0602190d081207090b1413090d11111c03010217090301081213091e191d1b02191a07120d071006060302190c17121d04100d110607191a0f0d000a1714191806141004080a0c0c061b02191c080c0500041418041c1c1c0c160f1608120e181c0c0609011a0f0b0d16181503030b03140115160c010b1b1d081a07040f10120b1c011e0d08051d1a080302061b1b081b1418090c0c190f171c01161a0e1900031e12071d161303051e0a16180412170d0c17

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### Verify
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t' = 101d061c1e19190211070504020d0f0711080e0f050a09100d1b1e1e1d0203030b0c051d0a19060614010c06051e010c00140604191e1d171107140d
