Crosscorrelation of m-sequences, exponential sums, bent functions and Jacobsthal sumsReport as inadecuate




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Cryptography and Communications

, Volume 3, Issue 4, pp 281–291

First Online: 30 June 2011Received: 19 January 2011Accepted: 02 June 2011

Abstract

The crosscorrelation of maximal length linear shift register sequences is a well-studied problem that has many applications in sequence designs. This problem is known to have many important connections to exponential sums. In recent years, the study of p-ary bent functions has received a lot of attention and several new functions have been found that are related to the crosscorrelation function and that lead to new connections and problems on Jacobsthal sums. This paper gives a survey of some of these connections.

KeywordsCrosscorrelation m-Sequence p-Ary bent function Jacobsthal sum Polynomial over finite field This work was supported by the Norwegian Research Council.

Mathematics Subject Classifications 201011T23 94A55  Download fulltext PDF



Author: Tor Helleseth - Alexander Kholosha

Source: https://link.springer.com/







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