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Elementary Hadamard Difference Sets

J. F. Dillon

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Abstract

This paper is primarily a study of difference sets in elementary abelian 2-groups. It is, however, somewhat wider in scope and includes an exposition of the fundamental notions relating to the more general topics of difference sets and the Fourier analysis of Boolean functions.

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What this paper is about

This paper is primarily a study of difference sets in elementary abelian 2-groups. It is, however, somewhat wider in scope and includes an exposition of the fundamental notions relating to the more general topics of difference sets and the Fourier analysis of Boolean functions.

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OpenAlex reports 628 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper is primarily a study of difference sets in elementary abelian 2-groups. It is, however, somewhat wider in scope and includes an exposition of the fundamental notions relating to the more general topics of difference sets and the Fourier analysis of Boolean functions.

Key concepts: Hadamard transform, Mathematics, Mathematics education, Mathematical analysis

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