Orthomorphisms of Boolean Groups

An orthomorphism, π, of a group, (G, +), is a permutation of G with the property that the map x → -x + π(x) is also a permutation. In this paper, we consider orthomorphisms of the additive group of binary n-tuples, Zn2. We use known orthomorphism preserving functions to prove a uniformity in the cyc...

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Bibliographic Details
Main Author: Schimanski, Nichole Louise
Format: Others
Published: PDXScholar 2016
Subjects:
Online Access:http://pdxscholar.library.pdx.edu/open_access_etds/3100
http://pdxscholar.library.pdx.edu/cgi/viewcontent.cgi?article=4112&context=open_access_etds