DocumentCode
909842
Title
On trinomial recurrences
Author
Goldstein, Richard M. ; Zierler, Neal
Volume
14
Issue
1
fYear
1968
fDate
1/1/1968 12:00:00 AM
Firstpage
150
Lastpage
151
Abstract
Let
be the set of all linear recurring sequences generated by a polynomial
. It is shown that the linear functional advancing the phase of every sequence in
by
may be obtained essentially as the
th state of a certain member of
depending only on
when and only when
is a binomial or trinomial.
be the set of all linear recurring sequences generated by a polynomial
. It is shown that the linear functional advancing the phase of every sequence in
by
may be obtained essentially as the
th state of a certain member of
depending only on
when and only when
is a binomial or trinomial.Keywords
Polynomials; Sequences; Combinatorial mathematics; Decoding; Error correction codes; Information theory; Intersymbol interference; Laboratories; Machine tools; Polynomials; Propulsion; Space technology;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1968.1054086
Filename
1054086
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