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


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

lambda = 192
q = 31
l = 10
v = 890
m = 100
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 = 111111111111111111111111111111111111111111111111
y_input = 0101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101

#####################################################
### KeyGen
#####################################################
seed_pk = c172f9b5360282a13ca1855c6c05fd9e
S' = 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### Sign
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L = 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u = 090a1d081e030f0b04160e13191c191d0f101b17100e01131303111a1a100e071c19180515111a170c03100a140104191d1b091e16190c061a140e0f1c08001b1910180f181212191114100607180e09041e081100080d0c051e07091b140a1117071712
t = 17010214051a0c12080a0a0d0d1c1c10051b001316181e0c0b0200100f1600191a0c12060b141c1301010606110e1217070e1e0b1506090b1c19150b1d17130113031c14191b190806141e14010c1e190115170b140f140e18041c0f021e0a160e020219
y_solution = 170908071c1e1818011a1e00031e0f0611101e0f08091b190d0516141b1717090f1a0c0001190c040d0d1b051c190c061015080a1905021b0c1115061e1717100319171d1d14131709070d0103021c0e010a12101d0f1112171119131716080e0f0e111b
s = 060b1710041c0e1d100e1719081e070b1e0e0c051a1c1904181c0f0b09130317130c150b011207160909041b090d0807021813060b0d01150d0c0f0b1704010b170b0c081a0b13070f1815110904111510061a140806181c1c1e07130e0f1e0d1b1c1e140c090d111404131b19130c020a15040b0704081b151a1b1e000b1603160d0717030f0411010a120e181c1b170919040a100a0012100000130a090f19031c1c1e1914050c151b1708180d061c181d19190612030806021a0d0414131211000a151e1209060e0c1a06120010131308110f190f03151c0b0a13121818080e1d190708080b11181e101108131904031a1c090f0508160606101a0a021e11071d160b0a1e1a0c010202181b07161e1c15191417051a041717141d1002111805021507170d0714171318121a0309191a0f111211060f0900100506131b02150e1e04040801170a08021b0f0505070f1b16041d120d18191d1e0011071707071219161203131d051c15031508181115111e1a19151e151806061c0804001515010e09061b1910100b0f16061216001b1c1e04161d030612110f1910050c0014050a01151c0115170d121d0f0f1319110002100b011a08040a101300051a001d1a02180b141d1c020b1b1207150c1300101813141c0a150e1d0f151309161803041706071a09190a000109160f0c06160f0b0705160f0c1e17160a131d1506181300040d001513070b070e1a130b1b020b1815081c1110020c080c0f151315090a011b150c1319080d0f171d12080e040e0c0a091103161b01041606121606140f1c1b0401060c1d1b111d1a190816030f11080312080517030b070413120d0a1c191302020902020209010d1b001001191609101006181e160b0202030b1710121407101b0b0513050f0113101b1e1602121906121d1e1b1c050903051c1e0c131c040701091b00151511001c1e031518040a18020511000e0d1a03100f101515130e040805091b1d041702050d150d1d0c19000c02030c181b0001090f1212180610160c1a110713170c170f0811170d0610020709041a120f0c0e10060e1d061e130000150b0c060213061a0f1600091d1c140c1c18180d011602080b0b060207010a1709050e13160a031d130c060c1117150d0c0f0910020800040e1e08061c1708070e0014191b04050e1716100e0b1e120f031506151904180300000d110d19051c1b040c06020c1d09150f071913010e02081d000809170908071c1e1818011a1e00031e0f0611101e0f08091b190d0516141b1717090f1a0c0001190c040d0d1b051c190c061015080a1905021b0c1115061e1717100319171d1d14131709070d0103021c0e010a12101d0f1112171119131716080e0f0e111b

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### Verify
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t' = 17010214051a0c12080a0a0d0d1c1c10051b001316181e0c0b0200100f1600191a0c12060b141c1301010606110e1217070e1e0b1506090b1c19150b1d17130113031c14191b190806141e14010c1e190115170b140f140e18041c0f021e0a160e020219
