S. Tefft

activity

20192025

most citedA linear complexity analysis of quadratic residues and primitive roots spacings

4 citations · 4 across the 7 of their papers we have counts for

collaborators

7 papers

math.NT2025

Values of Ducci Periods for Sequences on $Z_{m}^{n}$

Mark L. Lewis, Shannon M. Tefft

Let $D : Z_{m}^{n} \to Z_{m}^{n}$ be defined so that \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] W…

math.NT2025

Examining $H$ -Closed Ducci Sequences on $Z_{m}^{n}$

Mark L. Lewis, Shannon M. Tefft

Let $D$ be an endomorphism on $Z_{m}^{n}$ so that \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] We call…

math.NT2024

The Maximum Length for Ducci Sequences on $Z_{m}^{n}$ when $n$ is Even

Mark L. Lewis, Shannon M. Tefft

Let $D : Z_{m}^{n} \to Z_{m}^{n}$ be defined so \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\] $D$ is…

math.NT2024

Ducci on $Z_{m}^{3}$ and the Max Period

Mark L. Lewis, Shannon M Tefft

Let $D (x_{1}, x_{2}, ..., x_{n}) = (x_{1} + x_{2} mod m, x_{2} + x_{3} mod m, ..., x_{n} + x_{1} mod m)$ where $D \in E n d (Z_{m}^{n})$ be the Ducci function. The se…

math.NT2024

Ducci on $Z_{m}^{n}$ and the Maximum Length for $n$ Odd

Mark L. Lewis, Shannon M. Tefft

Define the Ducci function $D : Z_{m}^{n} \to Z_{m}^{n}$ so \[D(x_1,x_2, ...,x_n)=(x_1+x_2 \;\text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{mod} \; m).\…

math.NT2024

The Period of Ducci Cycles on $Z_{2^{l}}$ for Tuples of Length $2^{k}$

Mark L. Lewis, Shannon M. Tefft

Let the Ducci function $D : Z_{m}^{n} \to Z_{m}^{n}$ be defined as \[D(x_1, x_2, ..., x_n)=(x_1+x_2 \; \text{mod} \; m, x_2+x_3 \; \text{mod} \; m, ..., x_n+x_1 \; \text{m…

cs.IT2019★ 4 cited

A linear complexity analysis of quadratic residues and primitive roots spacings

Mihai Caragiu, Shannon Tefft, Aaron Kemats +1

We investigate the linear complexities of the periodic 0-1 infinite sequences in which the periods are the sequence of the parities of the spacings between quadratic residues modul…

Values of Ducci Periods for Sequences on Zmn​

Examining H-Closed Ducci Sequences on Zmn​

The Maximum Length for Ducci Sequences on Zmn​ when n is Even

Ducci on Zm3​ and the Max Period

Ducci on Zmn​ and the Maximum Length for n Odd

The Period of Ducci Cycles on Z2l​ for Tuples of Length 2k

A linear complexity analysis of quadratic residues and primitive roots spacings

Values of Ducci Periods for Sequences on $Z_{m}^{n}$

Examining $H$ -Closed Ducci Sequences on $Z_{m}^{n}$

The Maximum Length for Ducci Sequences on $Z_{m}^{n}$ when $n$ is Even

Ducci on $Z_{m}^{3}$ and the Max Period

Ducci on $Z_{m}^{n}$ and the Maximum Length for $n$ Odd

The Period of Ducci Cycles on $Z_{2^{l}}$ for Tuples of Length $2^{k}$