Conference item
Fractional jumps: complete characterisation and an explicit infinite family
- Abstract:
- In this paper we provide a complete characterisation of transitive fractional jumps. In particular, we prove that they can only arise from transitive projective automorphisms apart from a couple of degenerate cases which we entirely classify. Furthermore, we prove that such construction is feasible for arbitrarily large dimension by exhibiting an infinite class of projectively primitive polynomials whose companion matrix can be used to define a full orbit sequence over an affine space.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 303.9KB, Terms of use)
-
- Publisher copy:
- 10.1007/978-3-030-05153-2_14
Authors
+ Swiss National Science Foundation
More from this funder
- Funding agency for:
- Micheli, G
- Grant:
- 171248
- Publisher:
- Springer, Cham
- Host title:
- WAIFI 2018: Arithmetic of Finite Fields
- Journal:
- International Workshop on the Arithmetic of Finite Fields WAIFI 2018 More from this journal
- Volume:
- 11321
- Pages:
- 250-263
- Series:
- Lecture Notes in Computer Science
- Publication date:
- 2018-12-30
- Acceptance date:
- 2018-05-18
- DOI:
- ISBN:
- 9783030051532
- Pubs id:
-
pubs:853420
- UUID:
-
uuid:46472c69-479a-40aa-8845-30d8890cc34b
- Local pid:
-
pubs:853420
- Source identifiers:
-
853420
- Deposit date:
-
2018-05-22
Terms of use
- Copyright holder:
- Springer Nature Switzerland AG
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 Springer Nature Switzerland AG. This is the accepted manuscript version of the paper. The final version is available online from Springer at: https://doi.org/10.1007/978-3-030-05153-2_14
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