Steinhaus Triangles Generated by Vectors of the Canonical Bases

TL;DR

This paper introduces a method to compute the weight of binary Steinhaus triangles generated specifically by vectors from the canonical basis in a finite field setting, enhancing understanding of their combinatorial properties.

Contribution

The paper presents a novel calculation method for the weight of Steinhaus triangles generated by canonical basis vectors in binary vector spaces.

Findings

Provides a systematic way to determine triangle weights

Enhances understanding of binary Steinhaus triangle structures

Facilitates further research in combinatorial and algebraic properties

Abstract

We give a method to calculate the weight of binary Steinhaus triangles generated by the vectors of the canonical basis of the vector space $\mathbb{F}_2^n$ over the field $\mathbb{F}_2$ of order $2$.