Two families of strongly walk regular graphs from three-weight codes over $\mathbb{Z_4}$
Abstract
A necessary condition for a $\mathbb{Z_4}$-code to be a three-weight code for the Lee weight is given. Two special constructions of three-weight codes over $\mathbb{Z_4}$ are derived. The coset graphs of their duals are shown to be strongly 3-walk-regular, a generalization of strongly regular graphs.
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Copyright (c) 2025 Minjia Shi, Wenjun Xu, Xuan Wang, Yue Cheng, Huazhang Wu, Patrick Solé
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