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arXiv · 1901.06837

Strong difference families of special types

Yanxun Chang·Simone Costa·Tao Feng·Xiaomiao Wang
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Abstract

Strong difference families of special types are introduced to produce new relative difference families from the point of view of both asymptotic existences and concrete examples. As applications, group divisible designs of type $30^u$ with block size $6$ are discussed, $r$-rotational balanced incomplete block designs with block size $6$ are derived for $r\in\{6,10\}$, and several classes of optimal optical orthogonal codes with weight $5$, $6$, $7$, or $8$ are obtained.

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Yanxun Chang, Simone Costa, Tao Feng, Xiaomiao Wang. 2019-08-26. Strong difference families of special types. https://arxiv.org/abs/1901.06837

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