scholarly journals On the distribution of pseudo-random numbers generated by the linear congruential method

1972 ◽  
Vol 26 (119) ◽  
pp. 793-793 ◽  
Author(s):  
Harald Niederreiter
Author(s):  
Puji Rahayu Ningsih ◽  
Muhamad Afif Effindi

In order to obtain information regarding student learning outcomes, the test is one way to go. Both test orally and written test. Along with the development of technology, the current written test is no longer done on paper but done using computer media. Computer-based test is one of the exam types applied in the National Exam and have been implemented in some schools in Indonesia. In this exam, it is possible for students to work on different packages of problems with their colleagues on the side. This is possible because of the problem randomization method. Nevertheless, it should be tested whether in the randomization of the problem has noticed the sequence of occurrences of questions which is still pay attention to the sequence as Bloom Taxonomy. This study focuses on applying the Linear Congruential Method, in order to generate a random problem from the database. The method called Pseudorandom Number Generator. In practice, the Linear Congruential Method method use variables a, c, and m as inputs for the occurrence of random numbers simultaneously. In this study, the numbers a and m are set first. While the variable c obtained from random numbers generated in the previous stage. The result of this research is the computer-based test which applies for random numbers.


2017 ◽  
Vol 23 (2) ◽  
Author(s):  
Asia Aljahdali ◽  
Michael Mascagni

AbstractGenerating pseudorandom numbers is a prerequisite for many areas including Monte Carlo simulation and randomized algorithms. The performance of pseudorandom number generators (PRNGs) depends on the quality of the generated random sequences. They must be generated quickly and have good statistical properties. Several statistical test suites have been developed to evaluate a single stream of random numbers such as those from the TestU01 library, the DIEHARD test suite, the tests from the SPRNG package, and a set of tests designed to evaluate bit sequences developed at NIST. This paper presents a new pseudorandom number generation scheme that produces pseudorandom sequences with good statistical properties via a scrambling procedure motivated by cryptographic transformations. We will specifically apply this to a popular set of PRNGs called the Linear Congruential generators (LGCs). The scrambling technique is based on a simplified version of a Feistel network. The proposed method seeks to improve the quality of the LCGs output stream. We show that this Feistel-inspired scrambling technique breaks up the regularities that are known to exist in LCGs. The Feistel-inspired scrambling technique is modular, and can be applied to any 64-bit PRNG, and so we believe that it can serve as an inexpensive model for a scrambler that can be used with most PRNGs via post-processing.


2018 ◽  
Vol 2 (1) ◽  
pp. 45
Author(s):  
Dicky Apdilah ◽  
Heru Swanda

Abstract - Along with the development of communication technology human needs in the use of technology are increasing, especially in data storage. One way to improve security for data is by using cryptographic methods. RSA Algorithm (Rivest Shamir Adleman) is one method in the branch of cryptography, where RSA is a type of asymmetric cryptography that uses 2 keys, namely public and private keys. The problem of increasing the security of the public key and private key in RSA (Rivest Shamir Adlema) is that the Linear Congruential Generator (LCG) method is needed, LCG is used to generate a set of random numbers to n, where a set of random numbers will be taken that have a number value prime. One method for generating prime numbers is The Sieve Of Eratosthenes algorithm, The Sieve Of Eratosthenes algorithm is a classic algorithm for determining all prime numbers until the n-number is specified. The way the The Sieve Of Eratosthenes method works is to eliminate numbers that are not prime numbers, resulting in a collection of prime numbers. The prime number generated by the The Sieve Of Eratosthenes algorithm will be used for the public key and private key in the RSA criterion. Keywords - RSA, LCG, The Sieve of Eratosthenes.


2006 ◽  
Vol 02 (01) ◽  
pp. 163-168 ◽  
Author(s):  
EDWIN D. EL-MAHASSNI ◽  
ARNE WINTERHOF

The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present a new type of discrepancy bound for sequences of s-tuples of successive nonlinear congruential pseudorandom numbers over a ring of integers ℤM.


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