
kernel: 
[  1 334 272  96  93 170 321 278 272]
kerlist: 
[[1, 334, 272, 96, 93], [0, 337, 0, 0, 0], [0, 0, 337, 0, 0], [0, 0, 0, 337, 0], [0, 0, 0, 0, 337]]
full kerlist: 
[[1, 334, 272, 96, 93, 170, 321, 278, 272], [0, 337, 0, 0, 0, 0, 0, 0, 0], [0, 0, 337, 0, 0, 0, 0, 0, 0], [0, 0, 0, 337, 0, 0, 0, 0, 0], [0, 0, 0, 0, 337, 0, 0, 0, 0]]
N: (kerlist) 
[  1 334 272  96  93]
[  0 337   0   0   0]
[  0   0 337   0   0]
[  0   0   0 337   0]
[  0   0   0   0 337]
full_N: (full_kerlist) 
[  1 334 272  96  93 170 321 278 272]
[  0 337   0   0   0   0   0   0   0]
[  0   0 337   0   0   0   0   0   0]
[  0   0   0 337   0   0   0   0   0]
[  0   0   0   0 337   0   0   0   0]
short vector:  (11, -33, -41, 45, 12)
short vector maxnorm:  142
SOLUTION:  (11, -11, -9, -3, -3)
full_short_vec:  (11, -33, -41, 45, 12, 1870, 3531, 3058, 2992)
maxnorm: 142 11.9163752878130
kernel: 
[  1 189 163 157  27 141  21 263  75]
kerlist: 
[[1, 189, 163, 157, 27], [0, 337, 0, 0, 0], [0, 0, 337, 0, 0], [0, 0, 0, 337, 0], [0, 0, 0, 0, 337]]
full kerlist: 
[[1, 189, 163, 157, 27, 141, 21, 263, 75], [0, 337, 0, 0, 0, 0, 0, 0, 0], [0, 0, 337, 0, 0, 0, 0, 0, 0], [0, 0, 0, 337, 0, 0, 0, 0, 0], [0, 0, 0, 0, 337, 0, 0, 0, 0]]
N: (kerlist) 
[  1 189 163 157  27]
[  0 337   0   0   0]
[  0   0 337   0   0]
[  0   0   0 337   0]
[  0   0   0   0 337]
full_N: (full_kerlist) 
[  1 189 163 157  27 141  21 263  75]
[  0 337   0   0   0   0   0   0   0]
[  0   0 337   0   0   0   0   0   0]
[  0   0   0 337   0   0   0   0   0]
[  0   0   0   0 337   0   0   0   0]
short vector:  (-2, -41, 11, 23, -54)
short vector maxnorm:  131
SOLUTION:  (-2, 1, 1, 1, 0)
full_short_vec:  (-2, -41, 11, 23, -54, -282, -42, -526, -150)
maxnorm: 131 11.4455231422596
kernel: 
[  1 334 307 214  44 139 203 169   2]
kerlist: 
[[1, 334, 307, 214, 44], [0, 337, 0, 0, 0], [0, 0, 337, 0, 0], [0, 0, 0, 337, 0], [0, 0, 0, 0, 337]]
full kerlist: 
[[1, 334, 307, 214, 44, 139, 203, 169, 2], [0, 337, 0, 0, 0, 0, 0, 0, 0], [0, 0, 337, 0, 0, 0, 0, 0, 0], [0, 0, 0, 337, 0, 0, 0, 0, 0], [0, 0, 0, 0, 337, 0, 0, 0, 0]]
N: (kerlist) 
[  1 334 307 214  44]
[  0 337   0   0   0]
[  0   0 337   0   0]
[  0   0   0 337   0]
[  0   0   0   0 337]
full_N: (full_kerlist) 
[  1 334 307 214  44 139 203 169   2]
[  0 337   0   0   0   0   0   0   0]
[  0   0 337   0   0   0   0   0   0]
[  0   0   0 337   0   0   0   0   0]
[  0   0   0   0 337   0   0   0   0]
short vector:  (-22, 66, -14, 10, 43)
short vector maxnorm:  155
SOLUTION:  (-22, 22, 20, 14, 3)
full_short_vec:  (-22, 66, -14, 10, 43, -3058, -4466, -3718, -44)
maxnorm: 155 12.4498995979887
kernel: 
[  1 168  34  39 299 188 237 259 267]
kerlist: 
[[1, 168, 34, 39, 299], [0, 337, 0, 0, 0], [0, 0, 337, 0, 0], [0, 0, 0, 337, 0], [0, 0, 0, 0, 337]]
full kerlist: 
[[1, 168, 34, 39, 299, 188, 237, 259, 267], [0, 337, 0, 0, 0, 0, 0, 0, 0], [0, 0, 337, 0, 0, 0, 0, 0, 0], [0, 0, 0, 337, 0, 0, 0, 0, 0], [0, 0, 0, 0, 337, 0, 0, 0, 0]]
N: (kerlist) 
[  1 168  34  39 299]
[  0 337   0   0   0]
[  0   0 337   0   0]
[  0   0   0 337   0]
[  0   0   0   0 337]
full_N: (full_kerlist) 
[  1 168  34  39 299 188 237 259 267]
[  0 337   0   0   0   0   0   0   0]
[  0   0 337   0   0   0   0   0   0]
[  0   0   0 337   0   0   0   0   0]
[  0   0   0   0 337   0   0   0   0]
short vector:  (-10, 5, -3, -53, 43)
short vector maxnorm:  114
SOLUTION:  (-10, 5, 1, 1, 9)
full_short_vec:  (-10, 5, -3, -53, 43, -1880, -2370, -2590, -2670)
maxnorm: 114 10.6770782520313
kernel: 
[  1 176  94  59   1  52  57 328 290]
kerlist: 
[[1, 176, 94, 59, 1], [0, 337, 0, 0, 0], [0, 0, 337, 0, 0], [0, 0, 0, 337, 0], [0, 0, 0, 0, 337]]
full kerlist: 
[[1, 176, 94, 59, 1, 52, 57, 328, 290], [0, 337, 0, 0, 0, 0, 0, 0, 0], [0, 0, 337, 0, 0, 0, 0, 0, 0], [0, 0, 0, 337, 0, 0, 0, 0, 0], [0, 0, 0, 0, 337, 0, 0, 0, 0]]
N: (kerlist) 
[  1 176  94  59   1]
[  0 337   0   0   0]
[  0   0 337   0   0]
[  0   0   0 337   0]
[  0   0   0   0 337]
full_N: (full_kerlist) 
[  1 176  94  59   1  52  57 328 290]
[  0 337   0   0   0   0   0   0   0]
[  0   0 337   0   0   0   0   0   0]
[  0   0   0 337   0   0   0   0   0]
[  0   0   0   0 337   0   0   0   0]
short vector:  (29, 49, 30, 26, 29)
short vector maxnorm:  163
SOLUTION:  (29, -15, -8, -5, 0)
full_short_vec:  (29, 49, 30, 26, 29, 1508, 1653, 9512, 8410)
maxnorm: 163 12.7671453348037
kernel: 
[  1 142 101  11   7 331 335 168 236]
kerlist: 
[[1, 142, 101, 11, 7], [0, 337, 0, 0, 0], [0, 0, 337, 0, 0], [0, 0, 0, 337, 0], [0, 0, 0, 0, 337]]
full kerlist: 
[[1, 142, 101, 11, 7, 331, 335, 168, 236], [0, 337, 0, 0, 0, 0, 0, 0, 0], [0, 0, 337, 0, 0, 0, 0, 0, 0], [0, 0, 0, 337, 0, 0, 0, 0, 0], [0, 0, 0, 0, 337, 0, 0, 0, 0]]
N: (kerlist) 
[  1 142 101  11   7]
[  0 337   0   0   0]
[  0   0 337   0   0]
[  0   0   0 337   0]
[  0   0   0   0 337]
full_N: (full_kerlist) 
[  1 142 101  11   7 331 335 168 236]
[  0 337   0   0   0   0   0   0   0]
[  0   0 337   0   0   0   0   0   0]
[  0   0   0 337   0   0   0   0   0]
[  0   0   0   0 337   0   0   0   0]
short vector:  (-7, 17, -33, -77, -49)
short vector maxnorm:  183
SOLUTION:  (-7, 3, 2, 0, 0)
full_short_vec:  (-7, 17, -33, -77, -49, -2317, -2345, -1176, -1652)
maxnorm: 183 13.5277492584687
Traceback (most recent call last):    samp1 = get_random_valid_sample( my_secret, 1 )
  File "", line 1, in <module>
    
  File "/tmp/tmpiDLbCJ/___code___.py", line 25, in <module>
    M = matrix(GF(p), avals ).transpose()
  File "sage/matrix/constructor.pyx", line 672, in sage.matrix.constructor.MatrixFactory.__call__ (/home/kate/sage/sage-7.3/src/build/cythonized/sage/matrix/constructor.c:4570)
ValueError: list of rows is not valid (rows are wrong types or lengths)
