5 papers
Producing Quality Pseudorandomness with a Generalized Gauss Continued-Fraction Map
Benjamin V. Holt
Well-known chaotic maps, such as the logistic and tent maps, have been used to generate cryptographically secure pseudorandomness, yet we know of no efforts which attempt to utiliz…
A Multigraph Characterization of Permutiple Strings
Benjamin V. Holt
A permutiple is a natural number whose representation in some base is an integer multiple of a number whose representation has the same collection of digits. A previous paper utili…
Utilizing Symmetry in Finding New Permutiples from Known Examples
Benjamin V. Holt
A permutiple is a natural number whose representation in some base, , is an integer multiple of a number whose base- representation has the same collection of digits. Previ…
Finding Permutiples of a Known Base and Multiplier
Benjamin V. Holt
Natural numbers which are nontrivial multiples of some permutation of their base- digit representations are called permutiples. Specific cases include numbers which are multiple…
A Method for Finding All Permutiples with a Fixed Set of Digits from a Single Known Example
Benjamin V. Holt
A permutiple is a natural number that is a nontrivial multiple of a permutation of its digits in some base. Special cases of permutiples include cyclic numbers (multiples of cyclic…