Corrected runs distribution test for pseudorandom number generators. Issue 4 (1st February 2016)

• Record Type: Journal Article
• Authors: Fan, Limin; Chen, Hua; Chen, Meihui; Gao, Si
• Is Part Of: Electronics letters. Volume 52:Issue 4(2016)
• Page Start: 281
• Page End: 283
• Publication Date: 2016-02-01
• Subjects: random number generation -- statistical analysis; pseudorandom number generators -- corrected runs distribution test -- Golomb randomness postulates -- statistical test suites -- AIS20 -- FIPS140 -- CryptX -- DRBG -- two‐level evaluation approach -- NIST SP 800–22; Electronics -- Periodicals; 621.381
• DOI: 10.1049/el.2015.3097
• Languages: English
• ISSNs: 0013-5194

Abstract

Abstract : Runs distribution test is an important statistical test based on Golomb's randomness postulates. It is an important randomness test included in some famous evaluation standards and statistical test suites such as Application Notes and Interpretation of the Scheme (AIS20), the Federal Information Processing Standards (FIPS140), CryptX, and so on. However, when it is applied on some well‐known good Deterministic Random Bit Generators (DRBGs), the test results show apparent bias from randomness. This shows that there exist some inaccuracies in the runs distribution test. The problem is solved and the runs distribution test through two ways is corrected. First, the degree of freedom of statistical value V is adjusted. Secondly, the expected number of different lengths runs is modified. The experiment results show that the corrected runs distribution test is more accurate under two‐level evaluation approach proposed by National Institute of Standards and Technology (NIST) Special Publication (SP) 800–22.