Title
Simplification of Frequency Test for Random Number Generation Based on Chi-Square
Abstract
This paper presents the simplified method of random test suite based on the frequency (block) test. The test is used to check the first property of random numbers which is to have the same probabilities of being "1" and "0". Random numbers are used for the secret key generation which is an essential part for cryptographic system. Before encryption, secret keys need to pass the random test in order to make it harder for outsiders to predict the pattern of the secret keys. Basically, the decision making of whether the secret keys are truly random, is based on the test statistics computation. Due to the motivation that the classical method based on the NIST statistical test suite (NIST STS) is complex and redundant, the reduction of this random testing procedure is then proposed. The introduced technique does not need to compute the incomplete gamma function (Igamc) nor the P-value for the decision making of test results unlike that of the classical method. Thus, it results to the reduction in the testing decision time. In this technique, the decision making and conclusion can be determined from the critical value of chi-square (chi2) directly. Its results without having to compute Igamc is compared to that of the classical method. In the test, the significance level (a) is set to be 0.01 or 0.05 in order to obtain the critical values and the critical regions. Resulting to the confidence of 99% or 95% respectively. Next, overall performance is evaluated by computing the percentage difference in order to demonstrate that the proposed value gives the same result as that of the classical method. Therefore, this proposed technique can be applied as that of the conventional based on the frequency (block) test.
Year
DOI
Venue
2008
10.1109/AICT.2008.42
Athens
Keywords
Field
DocType
random number generation,test result,classical method,random testing procedure,frequency test,random test suite,random test,critical value,secret key,random number,test statistics computation,secret key generation,random testing,statistical testing,monte carlo methods,frequency,nist,chi square,encryption,cryptography,probability,statistical analysis,hypothesis test,statistical computing,incomplete gamma function,stochastic optimization,stochastic processes,p value,quantum computing,statistical test
Test suite,Random testing,Computer science,p-value,Stochastic process,Algorithm,Exact test,Computerized classification test,Random number generation,Statistical hypothesis testing
Conference
ISBN
Citations 
PageRank 
978-0-7695-3162-5
2
0.37
References 
Authors
1
3
Name
Order
Citations
PageRank
Kruawan Wongpanya120.37
Keattisak Sripimanwat234.80
Kanok Jenjerapongvej320.37