DNA-based circuit design is an area of research in which traditional silicon-based technologies are replaced by naturally occurring phenomena taken from biochemistry and molecular biology. This research focuses on further developing DNA-based methodologies to mimic digital data manipulation. While exhibiting fundamental principles, this work was done in conjunction with the vision that DNA-based circuitry, when the technology matures, will form the basis for a tamperproof security module, revolutionizing the meaning and concept of tamper-proofing and possibly preventing it altogether based on accurate scientific observations. A paramount part of such a solution would be self-generation of random numbers. A novel prototype schema employs solid-phase synthesis of oligonucleotides for random construction of DNA sequences; temporary storage and retrieval is achieved through plasmid vectors. A discussion of how to evaluate sequence randomness is included, as well as how these techniques are applied to a simulation of the random number generation circuitry. Simulation results show generated sequences successfully pass three selected NIST random number generation tests specified for security applications.
Let X be a set of r nonnegative integers, and let B» i = 1,2,3, , t be the unordered sets of residues of the elements of X modulo m,, where it is not known which element in X produces a given element inJ3«. This leads to the folloing question: Let X = {X u X 2 , *, X r ) be a set of nonnegative integers (not necessarily distinct) and let B h i = 1,2,3,--,ί, be the sets of residues of the elements of X modulo m,, where it is not known which element in X produces a given element in B x . If 0^X i <ΠJ βl m l for 1^/^r, and (m l ,m / )=l for iV/, is it possible to determine the elements of X uniquely, knowing the β,'s?If a certain value C appears in X for n times then C (mod i) appears n times in B t . If there is only one value which appears in X for n times then in view of the Chinese Remainder Theorem it is possible to determine it uniquely and from it, the whole set X. This paper will therefore treat the most general case where every value appears for the same number of times and without loss of generality it can be assumed that all the elements of X are distinct.Before any attempt is made at answering the question which was posed, there are two facts which have to be taken into account.
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