On optimal weak algebraic manipulation detection codes and weighted external difference families

05/04/2019

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by   Minfeng Shao, et al.

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This paper provides a characterization of weak algebraic manipulation detection codes via a kind of generalized external difference families called bounded standard weighted external difference families (BSWEDFs). The relationship shows that the weak algebraic manipulation detection codes are equivalent with BSWEDFs not only for the R-optimal case as mentioned by Huczynska and Paterson [11] but also for the general case. Explicit constructions for both BSWEDFs and SWEDFs are also proposed.