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arXiv · 1707.06698

Small and Large Weights in Steinhaus Triangles

Josep M. Brunat·Montserrat Maureso
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Abstract

Let $\{0=w_0<w_1<w_2<\ldots<w_m\}$ be the set of weights of binary Steinhaus triangles of size $n$, and let $W_i$ be the set of sequences in $\mathbb{F}_2^n$ that generate triangles of weight $w_i$. We obtain the values of $w_i$ and the corresponding sets $W_i$ for $i\in\{1,2,3,m\}$, and partial results about $w_{m-1}$ and $W_{m-1}$.

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Josep M. Brunat, Montserrat Maureso. 2017-07-19. Small and Large Weights in Steinhaus Triangles. https://arxiv.org/abs/1707.06698

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