On Encryption with Continued Fraction
نویسندگان
چکیده
Many mathematicians have investigated the properties of continued fractions. They made fraction expansions Pi number, golden ratio and many more special numbers. With help fractions, solutions some Diophantine equations are obtained. In this study, encryption was using fractional square root non-perfect-square integers. Each 29 letters in alphabet is represented by nonperfect integers starting from 2. Then, each letter’s number equivalent were calculated. Afterwards, all numbers expansion considered as an integer removing comma. This information tabulated for later usage. word individual letters, a space left between encrypted versions letter. After process, process deciphering text dealt with. since there blank numbers, written Later, letter corresponding to found.
منابع مشابه
On the real quadratic fields with certain continued fraction expansions and fundamental units
The purpose of this paper is to investigate the real quadratic number fields $Q(sqrt{d})$ which contain the specific form of the continued fractions expansions of integral basis element where $dequiv 2,3( mod 4)$ is a square free positive integer. Besides, the present paper deals with determining the fundamental unit$$epsilon _{d}=left(t_d+u_dsqrt{d}right) 2left.right > 1$$and $n_d$ and $m_d...
متن کاملcontinued fraction ∗
We use a continued fraction expansion of the sign-function in order to obtain a five dimensional formulation of the overlap lattice Dirac operator. Within this formulation the inverse of the overlap operator can be calculated by a single Krylov space method where nested conjugate gradient procedures are avoided. We show that the five dimensional linear system can be made well conditioned using ...
متن کاملA q-CONTINUED FRACTION
Let a, b, c, d be complex numbers with d 6= 0 and |q| < 1. Define H1(a, b, c, d, q) := 1 1 + −abq + c (a + b)q + d + · · · + −abq + cq (a + b)qn+1 + d + · · · . We show that H1(a, b, c, d, q) converges and 1 H1(a, b, c, d, q) − 1 = c − abq d + aq P∞ j=0 (b/d)(−c/bd)j q (q)j(−aq/d)j P∞ j=0 (b/d)(−c/bd)j q (q)j(−aq/d)j . We then use this result to deduce various corollaries, including the followi...
متن کاملA Specialised Continued Fraction
We display a number with a surprising continued fraction expansion and show that we may explain that expansion as a specialisation of the continued fraction expansion of a formal series: A series ∑ chX −h has a continued fraction expansion with partial quotients polynomials in X of positive degree (other, perhaps than the 0-th partial quotient). Simple arguments, let alone examples, demonstrate...
متن کاملOn a continued fraction formula of Wall
We study the combinatorics of a continued fraction formula due to Wall. We also derive the orthogonality of little q-Jacobi polynomials from this formula, as Wall did for little q-Laguerre polynomials.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Dicle üniversitesi mühendislik fakültesi mühendislik dergisi
سال: 2022
ISSN: ['1309-8640', '2146-4391']
DOI: https://doi.org/10.24012/dumf.1038230