Abstract
The randomness of a binary random number sequence shall be quantitatively defined by the entropy per tuple of the binary random number sequence.
This paper presents an entropy measuring device and a generator, which is constructed by combining M-sequence with noise, of high-speed binary random numbers. The randomness of the binary random number sequence is measured and the statistical mechanism of the generation of binary random numbers is investigated.
Experimental results show that the decrease of randomness results from the high-speed of generation of binary random numbers. However, it has become clear that the speed of binary random number sequence can be made higher without loss of its randomness only by making the speed of generation of M-sequence higher. The relation between frequency and randomness (entropy per tuple) of the binary random numbers described in this paper is as follows:
frequency 30kc/s 60kc/s 120kc/s 240kc/srandomness 0.999 0.999 0.993 0.735