Chapter 3

History of Bent Functions

Abstract

Historical aspects of the invention of bent functions are discussed in this chapter. Who was the first mathematician to consider bent functions? This question remains without an exact answer. O. Rothaus was the recognized authority in this area: he introduced bent functions in 1966; his fundamental paper was declassified in 1976 and is well known to everybody who studies bent functions. But not many researchers know that in 1962 V.A. Eliseev and O.P. Stepchenkov proved that the degree of a bent function is not more than n/2 if n4si1_e; they proposed an analog of the McFarland construction 11 years before ...

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