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

Mathematics

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