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


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

lambda = 256
q = 31
l = 10
v = 1120
m = 120
f = x^10 - 5 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 = 1111111111111111111111111111111111111111111111111111111111111111
y_input = 01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

#####################################################
### KeyGen
#####################################################
seed_pk = c172f9b5360282a13ca1855c6c05fd9e
S' = 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### Sign
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L = 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u = 06080017180a0b140102170a06050c1c061e0c0e141d1c181c10101c0e04181b161019061d161c0b040101070b091d0c02161809170109171b1d13130b08031017100b100f0915000816110608061708101a1a091b04070709071a18080113161615041003160e1605001112100f1d0802041106121e100f
t = 0019010e0a13001b001a17050f1e101c1e05020a13141e0c06130f18011c1a19020d1102170a140b0e17101017080d1c0d131b081c130b02180a1b0b1c0c0d0615160300190709131b0601111c1206071b13090e1a1714051e110e151e081a15080a1808131b10121d1814170d170e19190013011c01161e
y_solution = 0919190014080202081b0f140d1d010d0012000708171208020d0c19180d13031909130d19190a0a191d140b1c050a140c061e081c12050e0c050c19031407030d151a151a0f1211140807121d090a13100f15121c1b0f1b01121d09000c050115011c101a181a13170c1c0c0b0a070d0c10191301190902
s = 071106130c1207110b101c140b120e0916051a1a1713170912011e16161902040d1519011b101413120110180c04100c0e0e101a09140e04110a0e140a140a130503091013001e1a111c0e1c0e1d071d0519040002140f1a010a191405191c0a0f00131e031e1d1106061119040c15051311011d0f0717100e02151500020c0b1a1d091d09100f0f1500090d0b1b001604030b190019040c0a040e040e1b010312061a1e1b0f021a1a010a1617071d10121103110e000c1c000d1c18140b18000a121b1d1c1e03030908040006010f030f1404031a0f08001e0d0614160e17030c0c190e140d0414170b0d091b050d0e0c1911160d121a05030c0d0415091116021808081c0d0b1d190a1211020c1d1c1d1e07031d041d0911131c1d0b121308190c001e1112091a1c1103151a000a06080708000c1500080f110d16120215090c151b19021e15010917080d15040d08151515001000031b1b1c051e0209100d171e0b06081e040401131b1b09111a010a1d1a1e150f020900030618041c07090f0919121a17190a0c0e051a150f0f0602130e160415100c0316071400100c070a07051a0c081b0f0216070b0d190a030a111015171a12020900161e0e1a0c1a19000a131109000a1e09131d0f1510090500041c00151319181e03151e121c1e1b081815061c0b0c160e1a081719131e1d0a020a13000a060a08161518190e0a0e17010f17031a051617100a1507130a111b000e03011308080306180203011d0c1218080a1d11120e0a06160218021a060517040c091816070009191517021b1b10090b080e1e061e0809141c0a0c0e091d0c091d1c1b0c02061d1102070709051901190111061a11140b180109131b140b11110917120f180f11031016151c03150b0b19131c0b131709151309140f01050407170f1010080511021b06081d0d1c1414001412141219160d1e06001e0d120a0303060c1a1e121e0e1c1b16021a0713001d160211080c0b041706190f101e0f0b01061714040f171d0a08181d1811101a191407170819160c181d1519090a07141407000405180b1c0b071c0f081800140b07091919140e1c151803051e0e011a1504120d00170d021a0a081104120f15180e1b05091714100803100e1a160b11151e151c121e09031a0c02031c1d0f11090c140c181e170e1103100c1510141718040d0a180b101a150c001c0f0c0a17080f18061e0d0c0c1d1c07171d04060e0b1c0b001a0b111c060906170006140604061602051d0a12041d140c0115090b08121e1a1a100f050305091917150d071e111b130612030603061416061e02170a000018000d1104060e031b07011814090703181206170202140f18061a0a1401191d0f05050607000f0e1b08131e0806060a091404110a1b170d0e0b0a1704121314070f0414040d0606061903071c0603071a171b1d1911011715141c00130d1a1b151b0703111219061b0a1c151b0019141a17030801170210120e1818110716051011160810091d16101a020d1c1915040e06061017121014071b171c161b15051b1b080a040f041403160606000b171d1d1704100b12021e12000d001817080d171d12130607120c1c06160c120606151506020b14031a150b13190117030d1a11131a13061c0b181c120a050a05100d0e0b17180d0216150c0f100a0d030410041e0d021600131a1e0a1e030f0507050c0813031314151812130f060c1e06161d

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### Verify
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t' = 0019010e0a13001b001a17050f1e101c1e05020a13141e0c06130f18011c1a19020d1102170a140b0e17101017080d1c0d131b081c130b02180a1b0b1c0c0d0615160300190709131b0601111c1206071b13090e1a1714051e110e151e081a15080a1808131b10121d1814170d170e19190013011c01161e
