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arXiv · 1011.1933

Shortened Hamming Codes Maximizing Double Error Detection

Mario Blaum·Sugata Sanyal
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Abstract

Given $r\geq 3$ and $2^{r-1}+1\leq n< 2^{r}-1$, an $[n,n-r,3]$ shortened Hamming code that can detect a maximal number of double errors is constructed. The optimality of the construction is proven.

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Mario Blaum, Sugata Sanyal. 2011-05-21. Shortened Hamming Codes Maximizing Double Error Detection. https://arxiv.org/abs/1011.1933

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