-----------------------------[Compaired randomness analsys (Public Version)]-------->

Author: evilcry
e-mail: evilcry@virgilio.it / evilcry@gmail.com
other contacts: on irc.azzurranet.org #cryptorev / #crack-it on irc.efnet.nl #cryptography
website: www.cryptorev.org / http://abcd6.interfree.it / http://evilcry.altervista.org

Paper for: ********* (not mentioned in public version)

-----------------------------[The analisys]--------------------->

Seed used: 314159
Generators used: 
                 1) Secude library RNG
                 2) X^2 mod N RNG
                 3) LCG (Linear Congruence Generator)
                 4) ICG (Inverse Congruence Generator)

Block lenght: 2500 bytes

Frequency test comparations:
(alpha value=0.05)


SecudeLib's block  passed FT test with 
Maximal test value of: 3.841000
Test result: 0.039200
Notes: Test is sucessful passed also with variable significance level

(X^2)'s block passed FT with
Maximal test value of: 3.841000
Test result: 2.205000
Notes: Test is sucessful passed also with variable significance level

LCG's block passed FT with
Maximal test value of: 3.841000
Test result: 0.273800
Notes: Test is sucessful passed also with variable significance level

ICG's block FAILED FT with
Maximal test value of: 3.841000
Test result: 5.985800
Notes: Test is passed only with a significance level of 0.01


SecudeLib give the best results in FT Analsys, also with randomly choosen input the reply to
FT are positive.

Poker Test:
Tuple=3


SecudeLib's block PASSED PT:
1) Maximal test value of: 14.070000 (alpha=0.005)  - PASSED
2) Maximal test value of: 12.010000 (alpha=0.010)  - NOT PASSED
3) Maximal test value of: 18.480000 (alpha=0.001)  - PASSED

(X^2)'s block PASSED with a large amount of good results PT:
1) Maximal test value of: 14.070000 (alpha=0.005)  - PASSED
2) Maximal test value of: 12.010000 (alpha=0.010)  - PASSED
3) Maximal test value of: 18.480000 (alpha=0.001)  - PASSED

LCG's block with a large amount of good results PT:
1) Maximal test value of: 14.070000 (alpha=0.005)  - PASSED
2) Maximal test value of: 12.010000 (alpha=0.010)  - PASSED
3) Maximal test value of: 18.480000 (alpha=0.001)  - PASSED

ICG's block FAILED with a large amount of bad results PT:
1) Maximal test value of: 18.480000 (alpha=0.001)  - PASSED
2) Maximal test value of: 14.070000 (alpha=0.005)  - NOT PASSED
3) Maximal test value of: 12.010000 (alpha=0.010)  - NOT PASSED

LCG and X^2  blocks passed PT with a large amount of good results, SecudeLib passed PT but with
extremely variable results.

FIPS PUB 140-1 Tests

SecudeLib's block PASSED
LongRun: OK
MonoBit: OK
Runs: OK
Poker: OK

LCG's block PASSED 
LongRun: OK
MonoBit: OK
Runs: OK
Poker: OK

ICG's block
LongRun: OK
MonoBit: OK
Runs: OK
Poker: OK (Not secure)

(X^2)'s block PASSED 
LongRun: OK
MonoBit: OK
Runs: OK
Poker: OK

LempelZiv Compression test (indirect entropy study)

SecudeLib Entropy before= 7.94 - Entropy after= 7.94 (rate compression 0%)
LCG: Entropy before= 7.93 - Entropy after=7.93 (rate compression 0%)
ICG: Entropy before= 7.92 - Entropy after=7.92 (rate compression 0%)
X^2: Entropy before= 7.92 - Entropy after=7.92 (rate compression 0%)


SecudeLib SEEMS TO BE THE MOST SOLID RNG