Characterization and Enumeration of Good Punctured Polynomials over Finite Fields
Joint Authors
Jitman, Somphong
Meesawat, Supanut
Thanakulitthirat, Arithat
Thumwanit, Napat
Bunyawat, Aunyarat
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-21
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A family of good punctured polynomials is introduced.
The complete characterization and enumeration of such polynomials are given over the binary field F2.
Over a nonbinary finite field Fq, the set of good punctured polynomials of degree less than or equal to 2 are completely determined.
For n≥3, constructive lower bounds of the number of good punctured polynomials of degree n over Fq are given.
American Psychological Association (APA)
Jitman, Somphong& Bunyawat, Aunyarat& Meesawat, Supanut& Thanakulitthirat, Arithat& Thumwanit, Napat. 2016. Characterization and Enumeration of Good Punctured Polynomials over Finite Fields. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1106318
Modern Language Association (MLA)
Jitman, Somphong…[et al.]. Characterization and Enumeration of Good Punctured Polynomials over Finite Fields. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1106318
American Medical Association (AMA)
Jitman, Somphong& Bunyawat, Aunyarat& Meesawat, Supanut& Thanakulitthirat, Arithat& Thumwanit, Napat. Characterization and Enumeration of Good Punctured Polynomials over Finite Fields. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1106318
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1106318