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A Note on a Combinatorial Conjecture
School of Mathematical Science, Guangxi Teachers Education University, Nanning, China
- 1 School of Mathematical Science, Guangxi Teachers Education University, Nanning, China
Open Journal of Discrete Mathematics·Volume 03 (2013)·Pages 49–52·Published 29 January 2013·DOI10.4236/ojdm.2013.31010
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Abstract
It is difficult to find Boolean functions achieving many good cryptographic properties. Recently, Tu and Deng obtained two classes of Boolean functions with good properties based on a combinatorial conjecture about binary strings. In this paper, using different approaches, we prove this conjecture is true in some cases. This conjecture has resisted different attempts of proof since it is hard to find a recursive method. In this paper we give a recursive formula in a special case.
KeywordsBinary StringWeight
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