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Raiden: An alternative to TEA Block Cipher

Results of the statistical batteries on Raiden

Table of Contents

  1. Results of the ENT Battery
  2. Results of the Diehard Battery
  3. Results of NIST Battery
  4. Results of Sexton Battery

Results of the ENT Battery

These are the results corresponding to the ENT Battery. In the Montecarlo simulation of Pi test, the value attached corresponds to the error made when calculating the Pi value.

Test Result
Entropy 7,999996
Compression 0,00%
Arithmetic Mean 127, 4869
Chi Square 25,00%
Montecarlo 0,01%
Serial Correlation 0,0000045
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Results of the Diehard battery

In order to provide a clear representation of the results of this test battery, the final p-value for each of the most important tests of this battery is shown below. This battery was made over a file of 170 megabytes.

Test Result
Birthday Spacings 0,282
GCD Steps: 0,1511
Distance: 0,4777
Gorilla 0,245
Overlapping Permutations 0,3334
0,5743
0,5224
0,6295
0,2524
Ranks of 31x31 matrices 0,523
Ranks of 32x32 matrices 0,574
Ranks of 6x8 Matrices 0,003306
Count the 1`s in a Stream of Bytes 0,9556
Parking Lot Test 0,6623
Minimum Distance Test 0,8306
Random Spheres Test 0,78601
The Sqeeze Test 0,033
Overlapping Sums Test 0,0345
Runs Up and Down Test 0,167
The Craps Test 0,44735
FINAL P-VALUE OF THE BATTERY 0,425335
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Results of NIST Battery

These are the results of the NIST statistical battery. These tests were made with 32 sequences of 2000000 bits

Test Result
Frequency 0,602
Block Frequency 0,862
Cumulative Sums 0,303
Runs 0,213
Longest Run 0,066
Rank 0,178
fft 0,739
Nonperiodic Templates 0,178
Overlapping Templates 0,009
Universal 0,101
Apen 0,862
Random Excursions 0,392
Random Excursions Variant 0,689
Serial 0,124
Linear Complexity 0,101
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Results of Sexton Battery

The p-value returned for each of the 70 tests is shown next.

the bit runs statistic = 17.82745 [P = 0.0579]*
the alt. 1 bit runs statistic = 11.85100 [P = 0.2952]
the alt. 2 bit runs statistic = 12.60746 [P = 0.2465]
the alt. 3 bit runs statistic = 12.22322 [P = 0.2704]
the alt. 4 bit runs statistic = 18.41900 [P = 0.0483]*
the alt. 5 bit runs statistic = 14.52826 [P = 0.1502]
the block bit freq. statistic = 237.51918 [P = 0.7903]
the bit frequency statistic = 0.74486 [P = 0.3881]
the tidbit frequency statistic = 3.50892 [P = 0.3196]
the nibble frequency statistic = 21.86122 [P = 0.1115]
the byte frequency statistic = 278.49376 [P = 0.1493]
the bit 0 statistic = 0.00183 [P = 0.9659]^
the bit 1 statistic = 0.09715 [P = 0.7553]
the bit 2 statistic = 0.38458 [P = 0.5352]
the bit 3 statistic = 0.44022 [P = 0.5070]
the bit 4 statistic = 1.95401 [P = 0.1622]
the bit 5 statistic = 3.92574 [P = 0.0476]*
the bit 6 statistic = 1.25846 [P = 0.2619]
the bit 7 statistic = 2.53345 [P = 0.1115]
the overall bit statistic = 10.59543 [P = 0.2257]
the 8-bit-sum statistic = 5.48502 [P = 0.7047]
the 16-bit-sum statistic = 1.85224 [P = 0.3961]
the 32-bit-sum statistic = 4.84858 [P = 0.0885]*
the odd/even-bit-sum statistic = 65.87435 [P = 0.3777]
the 64-bit matrix statistic = 222.64705 [P = 0.9290]^
the 128-bit matrix statistic = 248.18985 [P = 0.6082]
the 256-bit matrix statistic = 235.11452 [P = 0.8092]
the 512-bit matrix statistic = 280.45902 [P = 0.1311]
the 1024-bit matrix statistic = 239.33105 [P = 0.7514]
the 2048-bit matrix statistic = 229.83081 [P = 0.8694]
the bit prediction A statistic = 0.44556 [P = 0.5045]
the bit prediction B statistic = 0.66237 [P = 0.4157]
the bit prediction C statistic = 0.11583 [P = 0.7336]
the bit prediction D statistic = 0.06159 [P = 0.8040]
the bit prediction E statistic = 0.20844 [P = 0.6480]
the byte prediction A statistic = 0.23878 [P = 0.6251]
the byte prediction B statistic = 0.00152 [P = 0.9689]^
the byte prediction C statistic = 2.81772 [P = 0.0932]*
the byte prediction D statistic = 1.59520 [P = 0.2066]
the byte repetition statistic = 0.03923 [P = 0.8430]
the 2-byte AND statistic = 8.89406 [P = 0.1796]
the 4-byte AND statistic = 4.42004 [P = 0.1097]
the 4-byte AND-OR statistic = 10.25346 [P = 0.0059]**
the 2-byte up/down statistic = 1.37941 [P = 0.5017]
the 4-byte up/down statistic = 5.99534 [P = 0.5403]
the rect. distance statistic = 10.54414 [P = 0.1035]
the 4-byte collision statistic = 0.37573 [P = 0.5399]
the 6-byte collision statistic = 4.06839 [P = 0.0437]*
the 8-byte collision statistic = 0.75447 [P = 0.3851]
the 12-byte collision statistic = 3.76747 [P = 0.0523]*
the 16-byte collision statistic = 5.82365 [P = 0.0158]*
the 24-byte collision statistic = 1.31680 [P = 0.2512]
the 32-byte collision statistic = 0.51941 [P = 0.4711]
the 1-byte offset XOR statistic = 248.86461 [P = 0.5965]
the 2-byte offset XOR statistic = 292.00454 [P = 0.0554]*
the 6-byte offset XOR statistic = 286.42078 [P = 0.0858]*
the 24-byte offset XOR stat. = 287.87811 [P = 0.0768]*
the 120-byte offset XOR stat. = 294.34066 [P = 0.0456]*
the 720-byte offset XOR stat. = 230.21709 [P = 0.8655]
the 5040-byte offset XOR stat. = 269.77305 [P = 0.2510]
the 40320-byte offset XOR stat. = 228.49991 [P = 0.8824]
the 362880-byte off. XOR stat. = 258.06002 [P = 0.4347]
the mod 3 statistic = 3.75366 [P = 0.1531]
the mod 5 statistic = 3.83858 [P = 0.4283]
the mod 7 statistic = 1.30822 [P = 0.9712]^
the mod 11 statistic = 6.37741 [P = 0.7826]
the mod 13 statistic = 12.94628 [P = 0.3730]
the mod 17 statistic = 21.47804 [P = 0.1609]
the mod 19 statistic = 29.16508 [P = 0.0464]*
the mod 23 statistic = 29.22439 [P = 0.1386]

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