Sequence subgroups generated by lifting

Owen J. Brison; J. Eurico Nogueira

doi:10.1016/j.ffa.2021.101860

Sequence subgroups generated by lifting

Owen J. Brison, J. Eurico Nogueira

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We introduce and investigate some properties of lifted polynomials over finite fields. When f(t) is a lifted polynomial of degree 2 we give an exact count of the number of f-sequences that represent an f-subgroup, improving a previous result.

Original language	English
Article number	101860
Journal	Finite Fields And Their Applications
Volume	73
DOIs	https://doi.org/10.1016/j.ffa.2021.101860
Publication status	Published - Aug 2021

Keywords

Finite field
Lifted polynomial
Linear recurrence
Non-standard subgroup
Primitive-based polynomial
Restricted period

Access to Document

10.1016/j.ffa.2021.101860

Cite this

@article{3ee91479aecc43e3b050eddcb759783f,

title = "Sequence subgroups generated by lifting",

abstract = "We introduce and investigate some properties of lifted polynomials over finite fields. When f(t) is a lifted polynomial of degree 2 we give an exact count of the number of f-sequences that represent an f-subgroup, improving a previous result.",

keywords = "Finite field, Lifted polynomial, Linear recurrence, Non-standard subgroup, Primitive-based polynomial, Restricted period",

author = "Brison, {Owen J.} and Nogueira, {J. Eurico}",

note = "info:eu-repo/grantAgreement/FCT/5876/147204/PT# info:eu-repo/grantAgreement/FCT/5876/147208/PT# ",

year = "2021",

month = aug,

doi = "10.1016/j.ffa.2021.101860",

language = "English",

volume = "73",

journal = "Finite Fields And Their Applications",

issn = "1071-5797",

publisher = "Elsevier Science B.V., Amsterdam.",

}

TY - JOUR

T1 - Sequence subgroups generated by lifting

AU - Brison, Owen J.

AU - Nogueira, J. Eurico

N1 - info:eu-repo/grantAgreement/FCT/5876/147204/PT# info:eu-repo/grantAgreement/FCT/5876/147208/PT#

PY - 2021/8

Y1 - 2021/8

N2 - We introduce and investigate some properties of lifted polynomials over finite fields. When f(t) is a lifted polynomial of degree 2 we give an exact count of the number of f-sequences that represent an f-subgroup, improving a previous result.

AB - We introduce and investigate some properties of lifted polynomials over finite fields. When f(t) is a lifted polynomial of degree 2 we give an exact count of the number of f-sequences that represent an f-subgroup, improving a previous result.

KW - Finite field

KW - Lifted polynomial

KW - Linear recurrence

KW - Non-standard subgroup

KW - Primitive-based polynomial

KW - Restricted period

UR - http://www.scopus.com/inward/record.url?scp=85104106674&partnerID=8YFLogxK

U2 - 10.1016/j.ffa.2021.101860

DO - 10.1016/j.ffa.2021.101860

M3 - Article

AN - SCOPUS:85104106674

SN - 1071-5797

VL - 73

JO - Finite Fields And Their Applications

JF - Finite Fields And Their Applications

M1 - 101860

ER -

Sequence subgroups generated by lifting

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this