SRG | Security Research Group

RFID ENT RESULTS

21 December 2011

 

ENT 217 Results, Random Inputs from

http://randomnumber.org/randdata/10MB_200409232110.dat

http://randomnumber.org/randdata/10MB_200409232112.dat

 

List of Input files to the ENT:

         eMT

         eMTZiZi+1

         MixBits

         MixBitsZiZi+1

         A

         B

         C

         D

         IDS

         K2

         K3

 

eMT:

Byte

Bit

Entropy = 7.999714 bits per byte.

 

Optimum compression would reduce the size

of this 1572864 byte file by 0 percent.

 

Chi square distribution for 1572864 samples is 623.33, and randomly

would exceed this value less than 0.01 percent of the times.

 

Arithmetic mean value of data bytes is 128.5542 (127.5 = random).

Monte Carlo value for Pi is 3.141967773 (error 0.01 percent).

Serial correlation coefficient is -0.000361 (totally uncorrelated = 0.0).

Entropy = 0.999997 bits per bit.

 

Optimum compression would reduce the size

of this 12582912 bit file by 0 percent.

 

Chi square distribution for 12582912 samples is 58.28, and randomly

would exceed this value less than 0.01 percent of the times.

 

Arithmetic mean value of data bits is 0.5011 (0.5 = random).

Monte Carlo value for Pi is 3.141967773 (error 0.01 percent).

Serial correlation coefficient is -0.000430 (totally uncorrelated = 0.0).

 

eMT(Zi & Zi+1):

Byte

Bit

Entropy = 7.999896 bits per byte.

 

Optimum compression would reduce the size

of this 1572852 byte file by 0 percent.

 

Chi square distribution for 1572852 samples is 227.94, and randomly

would exceed this value 88.76 percent of the times.

 

Arithmetic mean value of data bytes is 127.2756 (127.5 = random).

Monte Carlo value for Pi is 3.139504543 (error 0.07 percent).

Serial correlation coefficient is -0.000644 (totally uncorrelated = 0.0).

Entropy = 0.999999 bits per bit.

 

Optimum compression would reduce the size

of this 12582816 bit file by 0 percent.

 

Chi square distribution for 12582816 samples is 10.91, and randomly

would exceed this value 0.10 percent of the times.

 

Arithmetic mean value of data bits is 0.4995 (0.5 = random).

Monte Carlo value for Pi is 3.139504543 (error 0.07 percent).

Serial correlation coefficient is 0.000069 (totally uncorrelated = 0.0).

 

 

 

MixBits:

Byte

Bit

Entropy = 7.999910 bits per byte.

 

Optimum compression would reduce the size

of this 1572864 byte file by 0 percent.

 

Chi square distribution for 1572864 samples is 196.23, and randomly

would exceed this value 99.75 percent of the times.

 

Arithmetic mean value of data bytes is 127.3920 (127.5 = random).

Monte Carlo value for Pi is 3.142623901 (error 0.03 percent).

Serial correlation coefficient is -0.000152 (totally uncorrelated = 0.0).

Entropy = 1.000000 bits per bit.

 

Optimum compression would reduce the size

of this 12582912 bit file by 0 percent.

 

Chi square distribution for 12582912 samples is 3.56, and randomly

would exceed this value 5.91 percent of the times.

 

Arithmetic mean value of data bits is 0.4997 (0.5 = random).

Monte Carlo value for Pi is 3.142623901 (error 0.03 percent).

Serial correlation coefficient is -0.000043 (totally uncorrelated = 0.0).

 

 

MixBits (Zi & Zi+1):

Byte

Bit

Entropy = 7.999885 bits per byte.

 

Optimum compression would reduce the size

of this 1572852 byte file by 0 percent.

 

Chi square distribution for 1572852 samples is 250.50, and randomly

would exceed this value 56.78 percent of the times.

 

Arithmetic mean value of data bytes is 127.6035 (127.5 = random).

Monte Carlo value for Pi is 3.138634786 (error 0.09 percent).

Serial correlation coefficient is -0.000331 (totally uncorrelated = 0.0).

Entropy = 1.000000 bits per bit.

 

Optimum compression would reduce the size

of this 12582816 bit file by 0 percent.

 

Chi square distribution for 12582816 samples is 2.60, and randomly

would exceed this value 10.68 percent of the times.

 

Arithmetic mean value of data bits is 0.5002 (0.5 = random).

Monte Carlo value for Pi is 3.138634786 (error 0.09 percent).

Serial correlation coefficient is 0.000522 (totally uncorrelated = 0.0).

 

A:

Byte

Bit

Entropy = 7.999891 bits per byte.

 

Optimum compression would reduce the size

of this 1572864 byte file by 0 percent.

 

Chi square distribution for 1572864 samples is 237.08, and randomly

would exceed this value 78.32 percent of the times.

 

Arithmetic mean value of data bytes is 127.4997 (127.5 = random).

Monte Carlo value for Pi is 3.141204834 (error 0.01 percent).

Serial correlation coefficient is -0.000654 (totally uncorrelated = 0.0).

Entropy = 1.000000 bits per bit.

 

Optimum compression would reduce the size

of this 12582912 bit file by 0 percent.

 

Chi square distribution for 12582912 samples is 0.13, and randomly

would exceed this value 72.20 percent of the times.

 

Arithmetic mean value of data bits is 0.5001 (0.5 = random).

Monte Carlo value for Pi is 3.141204834 (error 0.01 percent).

Serial correlation coefficient is -0.000056 (totally uncorrelated = 0.0).

 

B:

Byte

Bit

Entropy = 7.999884 bits per byte.

 

Optimum compression would reduce the size

of this 1572864 byte file by 0 percent.

 

Chi square distribution for 1572864 samples is 253.72, and randomly

would exceed this value 51.08 percent of the times.

 

Arithmetic mean value of data bytes is 127.4679 (127.5 = random).

Monte Carlo value for Pi is 3.140136719 (error 0.05 percent).

Serial correlation coefficient is -0.001590 (totally uncorrelated = 0.0).

Entropy = 1.000000 bits per bit.

 

Optimum compression would reduce the size

of this 12582912 bit file by 0 percent.

 

Chi square distribution for 12582912 samples is 0.02, and randomly

would exceed this value 87.46 percent of the times.

 

Arithmetic mean value of data bits is 0.5000 (0.5 = random).

Monte Carlo value for Pi is 3.140136719 (error 0.05 percent).

Serial correlation coefficient is 0.000094 (totally uncorrelated = 0.0).

 

C:

Byte

Bit

Entropy = 7.999873 bits per byte.

 

Optimum compression would reduce the size

of this 1572864 byte file by 0 percent.

 

Chi square distribution for 1572864 samples is 277.64, and randomly

would exceed this value 15.78 percent of the times.

 

Arithmetic mean value of data bytes is 127.4878 (127.5 = random).

Monte Carlo value for Pi is 3.143325806 (error 0.06 percent).

Serial correlation coefficient is -0.000193 (totally uncorrelated = 0.0).

Entropy = 1.000000 bits per bit.

 

Optimum compression would reduce the size

of this 12582912 bit file by 0 percent.

 

Chi square distribution for 12582912 samples is 0.78, and randomly

would exceed this value 37.61 percent of the times.

 

Arithmetic mean value of data bits is 0.4999 (0.5 = random).

Monte Carlo value for Pi is 3.143325806 (error 0.06 percent).

Serial correlation coefficient is -0.000199 (totally uncorrelated = 0.0).

 

D:

Byte

Bit

Entropy = 7.999884 bits per byte.

 

Optimum compression would reduce the size

of this 1572864 byte file by 0 percent.

 

Chi square distribution for 1572864 samples is 253.50, and randomly

would exceed this value 51.47 percent of the times.

 

Arithmetic mean value of data bytes is 127.5003 (127.5 = random).

Monte Carlo value for Pi is 3.136947632 (error 0.15 percent).

Serial correlation coefficient is -0.000680 (totally uncorrelated = 0.0).

Entropy = 1.000000 bits per bit.

 

Optimum compression would reduce the size

of this 12582912 bit file by 0 percent.

 

Chi square distribution for 12582912 samples is 1.03, and randomly

would exceed this value 31.07 percent of the times.

 

Arithmetic mean value of data bits is 0.4999 (0.5 = random).

Monte Carlo value for Pi is 3.136947632 (error 0.15 percent).

Serial correlation coefficient is 0.000263 (totally uncorrelated = 0.0).

 

IDS:

Byte

Bit

Entropy = 7.999887 bits per byte.

 

Optimum compression would reduce the size

of this 1572864 byte file by 0 percent.

 

Chi square distribution for 1572864 samples is 246.61, and randomly

would exceed this value 63.53 percent of the times.

 

Arithmetic mean value of data bytes is 127.5023 (127.5 = random).

Monte Carlo value for Pi is 3.141555786 (error 0.00 percent).

Serial correlation coefficient is 0.000921 (totally uncorrelated = 0.0).

Entropy = 1.000000 bits per bit.

 

Optimum compression would reduce the size

of this 12582912 bit file by 0 percent.

 

Chi square distribution for 12582912 samples is 0.73, and randomly

would exceed this value 39.27 percent of the times.

 

Arithmetic mean value of data bits is 0.4999 (0.5 = random).

Monte Carlo value for Pi is 3.141555786 (error 0.00 percent).

Serial correlation coefficient is -0.000118 (totally uncorrelated = 0.0).

 

K2:

Byte

Bit

Entropy = 7.999875 bits per byte.

 

Optimum compression would reduce the size

of this 1572864 byte file by 0 percent.

 

Chi square distribution for 1572864 samples is 272.13, and randomly

would exceed this value 22.02 percent of the times.

 

Arithmetic mean value of data bytes is 127.4529 (127.5 = random).

Monte Carlo value for Pi is 3.141372681 (error 0.01 percent).

Serial correlation coefficient is -0.000770 (totally uncorrelated = 0.0).

Entropy = 1.000000 bits per bit.

 

Optimum compression would reduce the size

of this 12582912 bit file by 0 percent.

 

Chi square distribution for 12582912 samples is 2.71, and randomly

would exceed this value 9.96 percent of the times.

 

Arithmetic mean value of data bits is 0.4998 (0.5 = random).

Monte Carlo value for Pi is 3.141372681 (error 0.01 percent).

Serial correlation coefficient is -0.000001 (totally uncorrelated = 0.0).

 

K3:

Byte

Bit

Entropy = 7.999879 bits per byte.

 

Optimum compression would reduce the size

of this 1572864 byte file by 0 percent.

 

Chi square distribution for 1572864 samples is 263.61, and randomly

would exceed this value 34.22 percent of the times.

 

Arithmetic mean value of data bytes is 127.5444 (127.5 = random).

Monte Carlo value for Pi is 3.135681152 (error 0.19 percent).

Serial correlation coefficient is 0.001035 (totally uncorrelated = 0.0).

Entropy = 1.000000 bits per bit.

 

Optimum compression would reduce the size

of this 12582912 bit file by 0 percent.

 

Chi square distribution for 12582912 samples is 1.84, and randomly

would exceed this value 17.55 percent of the times.

 

Arithmetic mean value of data bits is 0.5002 (0.5 = random).

Monte Carlo value for Pi is 3.135681152 (error 0.19 percent).

Serial correlation coefficient is 0.000535 (totally uncorrelated = 0.0).