Kapetanakis, Georgios and Reis, Lucas (2019) Variations of the primitive normal basis theorem. Designs, Codes, and Cryptography, 87 (7). pp. 1459-1480. ISSN 0925-1022 (Print) 1573-7586 (Online)
Full text not available from this repository. (Request a copy)
      Official URL: https://dx.doi.org/10.1007/s10623-018-0543-9
    
  
  
    Abstract
The celebrated Primitive Normal Basis Theorem states that for any n≥ 2 and any finite field Fq, there exists an element α∈Fqn that is simultaneously primitive and normal over Fq. In this paper, we prove some variations of this result, completing the proof of a conjecture proposed by Anderson and Mullen (2014).
  
  | Item Type: | Article | 
|---|---|
| Uncontrolled Keywords: | High-order elements; k-normal elements; Normal bases; Primitive elements | 
| Divisions: | Faculty of Engineering and Natural Sciences | 
| Depositing User: | Georgios Kapetanakis | 
| Date Deposited: | 15 Jun 2023 22:12 | 
| Last Modified: | 15 Jun 2023 22:12 | 
| URI: | https://research.sabanciuniv.edu/id/eprint/46092 | 
 
    

