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Paper detail

A new upper bound and optimal constructions of equi-difference conflict-avoiding codes on constant weight

Conflict-avoiding codes (CACs) have been used in multiple-access collision channel without feedback. The size of a CAC is the number of potential users that can be supported in the system. A code with maximum size is called optimal. The use of an optimal CAC enables the largest possible number of asynchronous users to transmit information efficiently and reliably. In this paper, a new upper bound on the maximum size of arbitrary equi-difference CAC is presented. Furthermore, three optimal constructions of equi-difference CACs are also given. One is a generalized construction for prime length $L=p$ and the other two are for two-prime length $L=pq$.

preprint2021arXivOpen access
Chun-e ZhaoWenping MaTongjiang YanYuhua Sun
math.ITInformation Theory
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Chun-e ZhaoWenping MaTongjiang YanYuhua Sun

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