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check_implementations.sage
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check_implementations.sage
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load("code.sage")
def check_slp_program(m, program, offset=0):
"""
Return whether the encoded program implements the multiplication by m
"""
if m[0][0].parent() != GF(2):
m = ff_matrix2bin(m)
# define program
n_variables = m.nrows()
inputs = ["x%d" % (i + offset) for i in range(n_variables)]
inputs2gf2 = ["%s = GF(2)(%s)" % (i, i) for i in inputs]
outputs = ["y%d" % (i + offset) for i in range(n_variables)]
function = """def prog(x):
# parse input to variables
%s = x
# convert variables to GF(2) objects
%s
# compute given program
%s
return vector(GF(2), [%s])
""" % (", ".join(inputs),
"\n ".join(inputs2gf2),
"\n ".join(program.splitlines()),
", ".join(outputs))
exec(function)
test_m = [prog(Integer(1<<i).digits(base=2, padto=n_variables))
for i in range(n_variables)
]
test_m = matrix(GF(2), test_m).transpose()
return m == test_m
def run_tests():
"""
Runs 'check_slp_program' on all test cases given in the global tests list.
As the variable numbering differs between paar and bp heuristic outputs,
we use a small hack to try both variable numberings.
The function returns two lists, the index of all successful tests and the
index of all failed tests
"""
success = []
fail = []
for i, (m, p) in enumerate(tests):
try:
if check_slp_program(m, p):
success.append(i)
else:
fail.append(i)
except NameError as e:
try:
if check_slp_program(m, p, 1):
success.append(i)
else:
fail.append(i)
except NameError as e:
fail.append(i)
print(i, "Error while checking SLP")
return success, fail
###############################################################################
#### SLP Implementations form subdir ##########################################
###############################################################################
tests = [
(ACISP_SarSye17_8x8_4, """
# Generated with LinOpt, seed 13357, XOR Count 204
BFP0 = x4 + x12
BFP1 = x8 + x16
BFP2 = x11 + x26
BFP3 = x2 + x18
BFP4 = x3 + x19
BFP5 = x20 + x28
BFP6 = x24 + x32
BFP7 = x22 + BFP0
BFP8 = x7 + x23
BFP9 = x10 + x25
BFP10 = x6 + x21
BFP11 = x5 + x29
BFP12 = x1 + x31
BFP13 = x9 + x13
BFP14 = x14 + x27
BFP15 = BFP1 + BFP2
BFP16 = x15 + x30
BFP17 = x2 + x17
BFP18 = x6 + x9
BFP19 = x28 + BFP4
BFP20 = x4 + x14
BFP21 = x32 + BFP8
BFP22 = x1 + BFP9
BFP23 = BFP5 + BFP16
BFP24 = BFP6 + BFP10
BFP25 = x17 + BFP3
BFP26 = x7 + BFP7
BFP27 = x10 + x13
BFP28 = x19 + BFP11
BFP29 = BFP4 + BFP15
BFP30 = BFP11 + BFP20
BFP31 = x17 + BFP12
BFP32 = x3 + x31
BFP33 = x20 + x27
BFP34 = x5 + x24
BFP35 = x31 + BFP5
BFP36 = x29 + BFP6
BFP37 = x6 + x22
BFP38 = x15 + x18
BFP39 = BFP3 + BFP24
BFP40 = x8 + BFP38
BFP41 = BFP22 + BFP40
BFP42 = x23 + BFP32
BFP43 = x21 + x32
BFP44 = x26 + BFP17
BFP45 = x12 + x30
BFP46 = x28 + BFP9
BFP47 = BFP14 + BFP27
BFP48 = BFP31 + BFP46
BFP49 = x27 + BFP45
BFP50 = x24 + BFP15
BFP51 = BFP18 + BFP23
BFP52 = BFP7 + BFP28
BFP53 = x5 + BFP0
BFP54 = BFP1 + BFP43
BFP55 = BFP14 + BFP18
BFP56 = BFP13 + BFP19
BFP57 = x20 + x25
BFP58 = x13 + BFP33
BFP59 = x11 + BFP14
BFP60 = BFP13 + BFP21
BFP61 = x23 + x30
BFP62 = x25 + BFP13
BFP63 = x3 + x9
BFP64 = BFP5 + BFP10
BFP65 = x11 + BFP24
BFP66 = x15 + BFP7
BFP67 = BFP3 + BFP42
BFP68 = BFP2 + BFP25
BFP69 = x8 + BFP51
BFP70 = x16 + BFP12
BFP71 = BFP6 + BFP41
BFP72 = BFP66 + BFP70
BFP73 = x3 + BFP64
BFP74 = BFP22 + BFP44
BFP75 = BFP10 + BFP27
BFP76 = x12 + BFP29
BFP77 = x11 + x25
BFP78 = BFP52 + BFP62
BFP79 = BFP3 + BFP30
BFP80 = BFP25 + BFP26
BFP81 = BFP8 + BFP59
BFP82 = x32 + BFP48
BFP83 = BFP1 + BFP20
BFP84 = BFP36 + BFP44
BFP85 = BFP55 + BFP57
BFP86 = x15 + BFP15
BFP87 = x27 + BFP56
BFP88 = x4 + BFP33
BFP89 = x8 + BFP0
BFP90 = x21 + BFP63
BFP91 = BFP32 + BFP50
BFP92 = BFP49 + BFP73
BFP93 = BFP37 + BFP68
BFP94 = BFP29 + BFP34
BFP95 = BFP75 + BFP91
BFP96 = BFP11 + BFP54
BFP97 = x14 + BFP11
BFP98 = BFP16 + BFP26
BFP99 = x16 + BFP6
BFP100 = x10 + BFP35
BFP101 = BFP87 + BFP99
BFP102 = x2 + BFP88
BFP103 = BFP62 + BFP84
BFP104 = BFP7 + BFP9
BFP105 = x11 + BFP30
BFP106 = x9 + x27
BFP107 = BFP56 + BFP79
BFP108 = BFP47 + BFP96
BFP109 = x26 + BFP41
BFP110 = x30 + BFP39
BFP111 = BFP36 + BFP37
BFP112 = x10 + BFP8
BFP113 = BFP35 + BFP83
BFP114 = BFP9 + BFP24
BFP115 = BFP16 + BFP65
BFP116 = x15 + BFP68
BFP117 = BFP54 + BFP77
BFP118 = BFP29 + BFP30
BFP119 = BFP23 + BFP90
BFP120 = x1 + BFP25
BFP121 = BFP3 + BFP8
BFP122 = BFP20 + BFP115
BFP123 = BFP49 + BFP117
BFP124 = x1 + BFP102
BFP125 = x13 + BFP92
BFP126 = x22 + BFP122
BFP127 = BFP104 + BFP121
BFP128 = BFP26 + BFP74
BFP129 = BFP19 + BFP109
BFP130 = BFP58 + BFP65
BFP131 = x21 + BFP78
BFP132 = BFP17 + BFP70
BFP133 = BFP58 + BFP98
BFP134 = BFP26 + BFP107
BFP135 = BFP63 + BFP97
BFP136 = x7 + BFP100
BFP137 = BFP22 + BFP105
BFP138 = BFP4 + BFP12
BFP139 = BFP1 + BFP10
BFP140 = BFP86 + BFP106
BFP141 = BFP69 + BFP127
BFP142 = BFP57 + BFP72
BFP143 = x22 + x29
BFP144 = BFP12 + BFP69
BFP145 = BFP1 + BFP103
BFP146 = BFP55 + BFP82
BFP147 = x12 + BFP144
BFP148 = BFP52 + BFP59
BFP149 = BFP67 + BFP108
BFP150 = BFP64 + BFP137
BFP151 = BFP17 + BFP125
BFP152 = x31 + BFP80
BFP153 = BFP8 + BFP142
BFP154 = BFP0 + BFP146
BFP155 = BFP114 + BFP132
BFP156 = x30 + BFP148
BFP157 = BFP23 + BFP128
BFP158 = x26 + BFP131
BFP159 = x23 + BFP34
BFP160 = x2 + BFP76
BFP161 = BFP19 + BFP126
BFP162 = BFP28 + BFP50
BFP163 = BFP36 + BFP116
BFP164 = BFP21 + BFP156
BFP165 = x16 + BFP93
BFP166 = BFP53 + BFP101
BFP167 = BFP53 + BFP119
BFP168 = BFP60 + BFP165
BFP169 = x18 + BFP143
BFP170 = x6 + BFP133
BFP171 = BFP66 + BFP139
BFP172 = BFP110 + BFP118
BFP173 = BFP67 + BFP140
BFP174 = BFP31 + BFP112
BFP175 = x29 + BFP153
BFP176 = BFP17 + BFP113
BFP177 = BFP81 + BFP167
BFP178 = BFP47 + BFP111
BFP179 = BFP61 + BFP145
BFP180 = BFP147 + BFP159
BFP181 = BFP120 + BFP130
BFP182 = BFP21 + BFP129
BFP183 = BFP160 + BFP178
BFP184 = x14 + BFP157
BFP185 = x7 + BFP155
BFP186 = BFP60 + BFP176
BFP187 = BFP85 + BFP152
BFP188 = BFP35 + BFP158
BFP189 = x19 + BFP61
BFP190 = x18 + BFP4
BFP191 = BFP124 + BFP162
BFP192 = BFP123 + BFP190
BFP193 = BFP71 + BFP135
BFP194 = BFP34 + BFP171
BFP195 = BFP89 + BFP181
BFP196 = BFP154 + BFP189
BFP197 = BFP95 + BFP169
BFP198 = x10 + BFP166
BFP199 = x29 + BFP151
BFP200 = BFP94 + BFP174
BFP201 = BFP138 + BFP170
BFP202 = BFP136 + BFP163
BFP203 = BFP48 + BFP194
y1 = BFP188
y2 = BFP196
y3 = BFP202
y4 = BFP192
y5 = BFP179
y6 = BFP149
y7 = BFP161
y8 = BFP175
y9 = BFP199
y10 = BFP187
y11 = BFP182
y12 = BFP191
y13 = BFP185
y14 = BFP197
y15 = BFP164
y16 = BFP180
y17 = BFP150
y18 = BFP184
y19 = BFP173
y20 = BFP198
y21 = BFP193
y22 = BFP172
y23 = BFP201
y24 = BFP186
y25 = BFP134
y26 = BFP141
y27 = BFP200
y28 = BFP195
y29 = BFP168
y30 = BFP183
y31 = BFP177
y32 = BFP203
"""),
(ACISP_SarSye17_8x8_8, """
# Generated with LinOpt, seed 27896, XOR Count 438
BFP0 = x7 + x31
BFP1 = x32 + x56
BFP2 = x0 + x24
BFP3 = x16 + x40
BFP4 = x8 + x49
BFP5 = x23 + x63
BFP6 = x39 + x41
BFP7 = x25 + x48
BFP8 = x17 + x57
BFP9 = x8 + x33
BFP10 = x1 + x57
BFP11 = x6 + x46
BFP12 = x30 + x55
BFP13 = x33 + x58
BFP14 = x22 + x47
BFP15 = x15 + x23
BFP16 = x54 + BFP0
BFP17 = x20 + x49
BFP18 = x41 + x50
BFP19 = x7 + x36
BFP20 = x14 + x43
BFP21 = x15 + x38
BFP22 = x3 + x39
BFP23 = x48 + x57
BFP24 = x8 + BFP8
BFP25 = x24 + BFP9
BFP26 = x25 + x61
BFP27 = x16 + x52
BFP28 = x9 + x50
BFP29 = BFP1 + BFP4
BFP30 = x4 + x45
BFP31 = x0 + BFP19
BFP32 = x48 + BFP2
BFP33 = x14 + x37
BFP34 = x0 + x9
BFP35 = BFP6 + BFP10
BFP36 = x32 + x38
BFP37 = x36 + x60
BFP38 = x5 + x45
BFP39 = x46 + BFP12
BFP40 = x10 + x34
BFP41 = x62 + BFP15
BFP42 = x15 + x44
BFP43 = x41 + BFP0
BFP44 = x14 + BFP3
BFP45 = x55 + x56
BFP46 = x5 + x29
BFP47 = x3 + x27
BFP48 = x12 + x53
BFP49 = x1 + x42
BFP50 = x2 + x26
BFP51 = x56 + x62
BFP52 = x49 + BFP13
BFP53 = x39 + x47
BFP54 = x35 + x59
BFP55 = x17 + x26
BFP56 = x24 + x49
BFP57 = x11 + BFP14
BFP58 = x31 + x34
BFP59 = x0 + x40
BFP60 = x28 + BFP22
BFP61 = x18 + x54
BFP62 = x1 + x19
BFP63 = x41 + x51
BFP64 = x13 + x54
BFP65 = x48 + BFP61
BFP66 = x55 + BFP2
BFP67 = x11 + x21
BFP68 = x57 + BFP3
BFP69 = x51 + BFP47
BFP70 = x17 + x42
BFP71 = x40 + BFP18
BFP72 = x10 + x52
BFP73 = x23 + x34
BFP74 = x55 + BFP42
BFP75 = x45 + BFP17
BFP76 = x51 + BFP40
BFP77 = x19 + x61
BFP78 = BFP26 + BFP31
BFP79 = x51 + BFP2
BFP80 = x5 + x47
BFP81 = x19 + x42
BFP82 = x7 + x9
BFP83 = BFP1 + BFP82
BFP84 = x44 + x53
BFP85 = x23 + BFP68
BFP86 = x6 + x32
BFP87 = x21 + BFP34
BFP88 = x27 + BFP5
BFP89 = BFP20 + BFP22
BFP90 = x40 + x50
BFP91 = x15 + x25
BFP92 = x16 + x22
BFP93 = x12 + x59
BFP94 = x21 + BFP30
BFP95 = x63 + BFP21
BFP96 = x13 + x60
BFP97 = x38 + x62
BFP98 = BFP6 + BFP41
BFP99 = x14 + BFP46
BFP100 = x13 + x53
BFP101 = x2 + BFP36
BFP102 = x29 + x43
BFP103 = x11 + BFP51
BFP104 = x6 + x35
BFP105 = x11 + x58
BFP106 = x18 + BFP49
BFP107 = x21 + BFP26
BFP108 = x2 + x58
BFP109 = x16 + BFP53
BFP110 = x28 + BFP24
BFP111 = x13 + BFP45
BFP112 = x46 + BFP5
BFP113 = x18 + x27
BFP114 = x28 + BFP63
BFP115 = x6 + x29
BFP116 = x43 + BFP50
BFP117 = BFP12 + BFP43
BFP118 = x10 + BFP32
BFP119 = x19 + BFP37
BFP120 = x35 + BFP11
BFP121 = x20 + x61
BFP122 = BFP11 + BFP25
BFP123 = x12 + BFP35
BFP124 = x6 + BFP13
BFP125 = x0 + x25
BFP126 = x7 + BFP7
BFP127 = BFP20 + BFP66
BFP128 = BFP88 + BFP110
BFP129 = x12 + BFP23
BFP130 = x35 + BFP7
BFP131 = x45 + BFP54
BFP132 = x22 + BFP33
BFP133 = BFP106 + BFP114
BFP134 = x28 + BFP8
BFP135 = x7 + BFP75
BFP136 = x47 + BFP105
BFP137 = x59 + BFP29
BFP138 = x2 + BFP85
BFP139 = BFP79 + BFP104
BFP140 = x19 + x59
BFP141 = x14 + BFP107
BFP142 = BFP71 + BFP79
BFP143 = x12 + BFP27
BFP144 = x17 + x32
BFP145 = x20 + BFP129
BFP146 = x37 + BFP80
BFP147 = x4 + x26
BFP148 = x53 + BFP21
BFP149 = x13 + BFP51
BFP150 = x38 + BFP59
BFP151 = x10 + x37
BFP152 = x5 + x52
BFP153 = x42 + BFP32
BFP154 = BFP33 + BFP91
BFP155 = BFP10 + BFP88
BFP156 = x54 + BFP101
BFP157 = BFP16 + BFP48
BFP158 = x4 + BFP102
BFP159 = BFP17 + BFP58
BFP160 = x5 + x8
BFP161 = BFP44 + BFP100
BFP162 = BFP28 + BFP29
BFP163 = x36 + BFP92
BFP164 = x60 + BFP151
BFP165 = BFP84 + BFP121
BFP166 = x59 + BFP144
BFP167 = x17 + BFP71
BFP168 = x34 + BFP152
BFP169 = x34 + BFP16
BFP170 = x41 + BFP143
BFP171 = BFP98 + BFP99
BFP172 = x31 + x45
BFP173 = x62 + BFP154
BFP174 = BFP94 + BFP122
BFP175 = x36 + BFP75
BFP176 = BFP30 + BFP33
BFP177 = BFP87 + BFP135
BFP178 = BFP14 + BFP162
BFP179 = BFP73 + BFP170
BFP180 = x50 + BFP124
BFP181 = x48 + BFP87
BFP182 = x37 + BFP64
BFP183 = x21 + BFP164
BFP184 = BFP3 + BFP180
BFP185 = BFP39 + BFP110
BFP186 = BFP1 + BFP80
BFP187 = x59 + BFP50
BFP188 = x58 + BFP74
BFP189 = BFP59 + BFP72
BFP190 = BFP65 + BFP131
BFP191 = BFP70 + BFP100
BFP192 = x4 + x40
BFP193 = BFP157 + BFP171
BFP194 = x9 + BFP76
BFP195 = x44 + BFP67
BFP196 = BFP103 + BFP120
BFP197 = x22 + BFP52
BFP198 = BFP21 + BFP78
BFP199 = x20 + BFP76
BFP200 = BFP17 + BFP115
BFP201 = x4 + BFP36
BFP202 = x33 + BFP57
BFP203 = x11 + BFP159
BFP204 = BFP136 + BFP167
BFP205 = x30 + BFP15
BFP206 = BFP37 + BFP125
BFP207 = x41 + x47
BFP208 = BFP118 + BFP140
BFP209 = BFP48 + BFP104
BFP210 = x50 + BFP107
BFP211 = BFP66 + BFP109
BFP212 = x2 + BFP113
BFP213 = BFP12 + BFP24
BFP214 = BFP27 + BFP155
BFP215 = BFP64 + BFP123
BFP216 = x25 + x51
BFP217 = x1 + BFP7
BFP218 = x6 + BFP18
BFP219 = BFP3 + BFP95
BFP220 = BFP78 + BFP106
BFP221 = BFP101 + BFP102
BFP222 = BFP172 + BFP209
BFP223 = x27 + BFP204
BFP224 = BFP5 + BFP14
BFP225 = BFP24 + BFP115
BFP226 = BFP93 + BFP119
BFP227 = x30 + BFP168
BFP228 = x52 + BFP128
BFP229 = BFP182 + BFP198
BFP230 = BFP28 + BFP60
BFP231 = x33 + x56
BFP232 = BFP44 + BFP70
BFP233 = x30 + BFP165
BFP234 = BFP56 + BFP90
BFP235 = BFP56 + BFP192
BFP236 = x47 + BFP85
BFP237 = BFP18 + BFP96
BFP238 = BFP23 + BFP137
BFP239 = x30 + BFP97
BFP240 = x32 + BFP230
BFP241 = BFP121 + BFP146
BFP242 = BFP4 + BFP188
BFP243 = BFP19 + BFP48
BFP244 = BFP130 + BFP242
BFP245 = BFP20 + BFP160
BFP246 = BFP94 + BFP111
BFP247 = BFP5 + BFP97
BFP248 = BFP34 + BFP74
BFP249 = BFP84 + BFP134
BFP250 = x37 + BFP62
BFP251 = x63 + BFP173
BFP252 = x24 + BFP49
BFP253 = BFP42 + BFP147
BFP254 = x28 + BFP196
BFP255 = BFP116 + BFP250
BFP256 = x4 + BFP113
BFP257 = BFP69 + BFP183
BFP258 = x4 + BFP197
BFP259 = x31 + BFP111
BFP260 = BFP57 + BFP114
BFP261 = x58 + BFP83
BFP262 = x25 + BFP203
BFP263 = BFP55 + BFP219
BFP264 = BFP117 + BFP161
BFP265 = BFP16 + BFP109
BFP266 = BFP6 + BFP95
BFP267 = x35 + BFP210
BFP268 = BFP7 + BFP122
BFP269 = x27 + BFP77
BFP270 = BFP200 + BFP248
BFP271 = x63 + BFP10
BFP272 = x17 + BFP43
BFP273 = x18 + x60
BFP274 = x31 + BFP99
BFP275 = x15 + BFP232
BFP276 = BFP150 + BFP259
BFP277 = x26 + BFP7
BFP278 = x63 + BFP264
BFP279 = x60 + BFP252
BFP280 = BFP53 + BFP112
BFP281 = BFP39 + BFP235
BFP282 = x30 + BFP215
BFP283 = BFP9 + BFP253
BFP284 = BFP195 + BFP227
BFP285 = x20 + BFP254
BFP286 = x33 + x41
BFP287 = x22 + BFP234
BFP288 = x58 + BFP179
BFP289 = x26 + x49
BFP290 = BFP77 + BFP270
BFP291 = BFP27 + BFP193
BFP292 = BFP38 + BFP224
BFP293 = x63 + BFP156
BFP294 = BFP29 + BFP266
BFP295 = BFP89 + BFP233
BFP296 = x7 + BFP46
BFP297 = BFP7 + BFP241
BFP298 = x42 + BFP142
BFP299 = BFP3 + BFP261
BFP300 = BFP5 + BFP298
BFP301 = BFP16 + BFP41
BFP302 = BFP58 + BFP238
BFP303 = BFP177 + BFP239
BFP304 = BFP25 + BFP292
BFP305 = BFP174 + BFP301
BFP306 = x29 + BFP243
BFP307 = x33 + BFP81
BFP308 = x10 + BFP289
BFP309 = BFP236 + BFP308
BFP310 = x26 + BFP163
BFP311 = x9 + BFP214
BFP312 = BFP0 + BFP186
BFP313 = x18 + BFP299
BFP314 = x18 + BFP127
BFP315 = x61 + BFP27
BFP316 = x43 + BFP231
BFP317 = BFP83 + BFP268
BFP318 = BFP184 + BFP302
BFP319 = BFP89 + BFP91
BFP320 = x12 + BFP116
BFP321 = BFP262 + BFP279
BFP322 = x46 + BFP257
BFP323 = BFP271 + BFP306
BFP324 = BFP73 + BFP317
BFP325 = x52 + BFP221
BFP326 = BFP47 + BFP145
BFP327 = x1 + BFP178
BFP328 = x29 + BFP190
BFP329 = BFP62 + BFP244
BFP330 = BFP1 + BFP286
BFP331 = x60 + BFP272
BFP332 = BFP132 + BFP282
BFP333 = BFP258 + BFP274
BFP334 = BFP148 + BFP185
BFP335 = BFP277 + BFP300
BFP336 = BFP201 + BFP260
BFP337 = x56 + BFP44
BFP338 = BFP207 + BFP323
BFP339 = BFP293 + BFP326
BFP340 = x37 + BFP133
BFP341 = BFP35 + BFP153
BFP342 = x31 + BFP237
BFP343 = x3 + BFP105
BFP344 = x31 + BFP280
BFP345 = x24 + BFP54
BFP346 = x16 + BFP229
BFP347 = BFP296 + BFP334
BFP348 = BFP205 + BFP312
BFP349 = BFP45 + BFP225
BFP350 = BFP98 + BFP126
BFP351 = BFP202 + BFP216
BFP352 = BFP315 + BFP336
BFP353 = x3 + BFP55
BFP354 = BFP206 + BFP222
BFP355 = BFP11 + BFP333
BFP356 = x37 + BFP290
BFP357 = BFP81 + BFP96
BFP358 = x33 + BFP208
BFP359 = BFP139 + BFP331
BFP360 = BFP297 + BFP342
BFP361 = BFP65 + BFP245
BFP362 = BFP2 + BFP217
BFP363 = BFP23 + BFP348
BFP364 = BFP212 + BFP294
BFP365 = BFP194 + BFP269
BFP366 = BFP15 + BFP276
BFP367 = BFP175 + BFP187
BFP368 = BFP29 + BFP335
BFP369 = BFP263 + BFP362
BFP370 = BFP108 + BFP341
BFP371 = BFP284 + BFP345
BFP372 = x44 + BFP339
BFP373 = BFP25 + BFP295
BFP374 = BFP52 + BFP60
BFP375 = BFP120 + BFP309
BFP376 = BFP16 + BFP275
BFP377 = BFP240 + BFP307
BFP378 = x44 + BFP305
BFP379 = BFP4 + BFP319
BFP380 = BFP31 + BFP223
BFP381 = BFP69 + BFP149
BFP382 = x53 + BFP103
BFP383 = BFP138 + BFP351
BFP384 = BFP28 + BFP367
BFP385 = BFP4 + BFP344
BFP386 = BFP265 + BFP349
BFP387 = BFP288 + BFP353
BFP388 = BFP112 + BFP346
BFP389 = BFP38 + BFP365
BFP390 = BFP117 + BFP358
BFP391 = BFP23 + BFP314
BFP392 = BFP40 + BFP108
BFP393 = BFP13 + BFP199
BFP394 = BFP141 + BFP218
BFP395 = BFP86 + BFP278
BFP396 = BFP189 + BFP285
BFP397 = BFP310 + BFP381
BFP398 = BFP54 + BFP191
BFP399 = BFP249 + BFP392
BFP400 = BFP181 + BFP385
BFP401 = BFP169 + BFP391
BFP402 = BFP118 + BFP327
BFP403 = BFP93 + BFP340
BFP404 = BFP273 + BFP283
BFP405 = BFP86 + BFP304
BFP406 = BFP328 + BFP343
BFP407 = BFP90 + BFP322
BFP408 = BFP119 + BFP361
BFP409 = BFP325 + BFP357
BFP410 = x55 + BFP405
BFP411 = BFP28 + BFP404
BFP412 = BFP176 + BFP228
BFP413 = BFP211 + BFP251
BFP414 = BFP35 + BFP366
BFP415 = BFP255 + BFP382
BFP416 = BFP311 + BFP316
BFP417 = BFP72 + BFP220
BFP418 = BFP246 + BFP374
BFP419 = BFP256 + BFP398
BFP420 = BFP337 + BFP370
BFP421 = x28 + BFP408
BFP422 = BFP92 + BFP354
BFP423 = BFP158 + BFP393
BFP424 = x32 + BFP291
BFP425 = x57 + BFP377
BFP426 = BFP287 + BFP350
BFP427 = BFP166 + BFP379
BFP428 = BFP267 + BFP320
BFP429 = x44 + BFP397
BFP430 = BFP213 + BFP313
BFP431 = BFP14 + BFP303
BFP432 = BFP330 + BFP376
BFP433 = BFP52 + BFP363
BFP434 = BFP247 + BFP394
BFP435 = BFP67 + BFP338
BFP436 = BFP226 + BFP281
BFP437 = x9 + BFP359
y0 = BFP368
y1 = BFP416
y2 = BFP399
y3 = BFP406
y4 = BFP436
y5 = BFP360
y6 = BFP434
y7 = BFP426
y8 = BFP318
y9 = BFP437
y10 = BFP417
y11 = BFP415
y12 = BFP372
y13 = BFP418
y14 = BFP355
y15 = BFP433
y16 = BFP420
y17 = BFP427
y18 = BFP411
y19 = BFP389
y20 = BFP396
y21 = BFP435
y22 = BFP332
y23 = BFP414
y24 = BFP402
y25 = BFP383
y26 = BFP387
y27 = BFP419
y28 = BFP421
y29 = BFP356
y30 = BFP431
y31 = BFP400
y32 = BFP430
y33 = BFP390
y34 = BFP321
y35 = BFP428
y36 = BFP429
y37 = BFP412
y38 = BFP347
y39 = BFP386
y40 = BFP369
y41 = BFP364
y42 = BFP425
y43 = BFP423
y44 = BFP371
y45 = BFP422
y46 = BFP388
y47 = BFP413
y48 = BFP324
y49 = BFP375
y50 = BFP380
y51 = BFP403
y52 = BFP409
y53 = BFP373
y54 = BFP378
y55 = BFP410
y56 = BFP432
y57 = BFP401
y58 = BFP329
y59 = BFP384
y60 = BFP407
y61 = BFP352
y62 = BFP424
y63 = BFP395
"""),
(AES, """
# Generated with slp_heuristic, XOR Count 97
t0 = x7 + x15
t1 = x23 + x31
t2 = x7 + x31
t3 = x15 + x23
t4 = x0 + x8
t5 = x6 + x14
t6 = x5 + x29
t7 = x16 + x24
t8 = x22 + x30
t9 = x13 + x21
t10 = x1 + x9
t11 = x10 + x18
t12 = x2 + x26
t13 = x17 + x25
t14 = x4 + x12
t15 = x3 + x27
t16 = x20 + x28
t17 = x11 + x19
t18 = x0 + t3
y8 = t7 + t18
t20 = x16 + t4
y24 = t2 + t20
t22 = t1 + t7
y16 = t20 + t22
t24 = x8 + t7
y0 = t0 + t24
t26 = x6 + t8
y14 = t9 + t26
t28 = x7 + x22
t29 = x21 + t5
t30 = x5 + y14
y6 = t29 + t30
t32 = x10 + t12
y18 = t13 + t32
t34 = x25 + t11
t35 = x1 + x2
y26 = t34 + t35
t37 = x9 + y18
y10 = t34 + t37
t39 = t0 + t32
t40 = x13 + t6
y21 = t16 + t40
t42 = x28 + t9
t43 = x4 + x5
y29 = t42 + t43
t45 = x12 + y21
y13 = t42 + t45
t47 = x14 + t1
y15 = t28 + t47
t49 = x6 + x15
y7 = t47 + t49
t51 = x15 + t2
y23 = t8 + t51
t53 = x22 + t5
y30 = t6 + t53
t55 = x25 + t10
y17 = t22 + t55
t57 = x26 + t10
y2 = t11 + t57
t59 = x29 + x30
y22 = t29 + t59
t61 = x29 + t9
y5 = t14 + t61
t63 = t3 + t26
y31 = t28 + t63
t65 = t4 + t37
y1 = t39 + t65
t67 = x1 + t13
t68 = t18 + t20
y9 = t67 + t68
t70 = x3 + t2
t71 = x27 + t14
t72 = x20 + t70
y28 = t71 + t72
t74 = t12 + t17
y27 = t70 + t74
t76 = x2 + x27
t77 = t39 + t74
y3 = t76 + t77
t79 = t3 + t11
t80 = x19 + t15
y11 = t79 + t80
t82 = x4 + t3
t83 = t16 + t17
y12 = t82 + t83
t85 = x19 + t1
t86 = x28 + t71
y20 = t85 + t86
t88 = x9 + y17
t89 = y1 + t68
y25 = t88 + t89
t91 = x11 + y27
t92 = y3 + t79
y19 = t91 + t92
t94 = t14 + t70
t95 = y12 + t85
y4 = t94 + t95
"""),
(Anubis, """
# Generated with slp_heuristic, XOR Count 113
t0 = x6 + x14
t1 = x22 + x30
t2 = x0 + x15
t3 = x7 + x8
t4 = x16 + x31
t5 = x23 + x24
t6 = x3 + x15
t7 = x7 + x11
t8 = x19 + x31
t9 = x23 + x27
t10 = x2 + t0
t11 = x18 + t1
t12 = x1 + x17
t13 = t2 + t3
t14 = x9 + x25
t15 = t4 + t5
t16 = x4 + x12
t17 = x5 + x21
t18 = x13 + x22
t19 = x23 + t1
y8 = t3 + t19
t21 = x5 + t18
t22 = x20 + x28
t23 = x6 + x29
t24 = x7 + t0
y24 = t5 + t24
t26 = x21 + t23
t27 = x4 + x20
t28 = t6 + t7
t29 = x12 + x28
t30 = t8 + t9
t31 = x8 + x24
t32 = x15 + t0
y16 = t4 + t32
t34 = t1 + t2
y0 = x31 + t34
t36 = x15 + t19
t37 = x9 + t24
t38 = x2 + x18
t39 = x17 + x31
t40 = x10 + x26
t41 = x10 + t10
t42 = x26 + t11
t43 = x1 + t31
y1 = t36 + t43
t45 = x2 + t14
y2 = t15 + t45
t47 = x5 + t29
y5 = t30 + t47
t49 = x6 + x31
y31 = t21 + t49
t51 = x10 + t12
y10 = t15 + t51
t53 = x13 + t22
y6 = t23 + t53
t55 = x13 + t27
y13 = t30 + t55
t57 = x14 + t17
y14 = t22 + t57
t59 = x14 + t19
y23 = t21 + t59
t61 = x15 + x22
y15 = t26 + t61
t63 = x18 + t13
y18 = t14 + t63
t65 = x21 + t28
y21 = t29 + t65
t67 = x26 + t12
y26 = t13 + t67
t69 = x29 + t16
y22 = t18 + t69
t71 = x29 + t27
y29 = t28 + t71
t73 = x30 + t16
y30 = t17 + t73
t75 = x30 + t24
y7 = t26 + t75
t77 = t24 + t31
y17 = t39 + t77
t79 = y16 + t34