Perfectly balanced k-valued functions and the Golić condition

Stanislav Vitalevich Smyshlyaev · Discrete Mathematics and Applications · 2013

Problems of k -valued logic generalisations of the Goli´c conjecture are considered. In the case of prime k , a number of results on correctness of the k -valued analogue of the Goli´c conjecture are obtained in many subcases. We also present a full proof of incorrectness of the k -valued analogue of the Goli´c conjecture in the case of composite k . This research was supported by the Russian Foundation for Basic Research, grant 12- 01-00680-a.

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