Kapetanakis, Georgios (2019) A Swan-like note for a family of binary pentanomials. Applicable Algebra in Engineering, Communication and Computing, 30 (5). pp. 361-372. ISSN 0938-1279 (Print) 1432-0622 (Online)
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Official URL: https://dx.doi.org/10.1007/s00200-018-0378-7
Abstract
In this note, we employ the techniques of Swan (Pac J Math 12(3):1099–1106, 1962) with the purpose of studying the parity of the number of the irreducible factors of the penatomial Xn+ X3 s+ X2 s+ Xs+ 1 ∈ F2[X] , where s is even and n> 3 s. Our results imply that if n≢±1(mod8), then the polynomial in question is reducible.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Binary field; Pentanomial; Swan-like |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Georgios Kapetanakis |
| Date Deposited: | 17 Jul 2023 22:37 |
| Last Modified: | 17 Jul 2023 22:37 |
| URI: | https://research.sabanciuniv.edu/id/eprint/46116 |
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