The $(n,m,k,\lambda)$-Strong External Difference Family with $m \geq 5$ Exists
نویسندگان
چکیده
Abstract The notion of strong external difference family (SEDF) in a finite abelian group (G,+) is raised by M. B. Paterson and D. R. Stinson [5] in 2016 and motivated by its application in communication theory to construct R-optimal regular algebraic manipulation detection code. A series of (n,m, k, λ)-SEDF’s have been constructed in [5, 4, 2, 1] with m = 2. In this note we present an example of (243, 11, 22, 20)-SEDF in finite field Fq (q = 3 5 = 243). This is an answer for the following problem raised in [5] and continuously asked in [4, 2, 1]: if there exists an (n,m, k, λ)-SEDF for m ≥ 5.
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تاریخ انتشار 2016