Edlyn Teske
article
extension field
Weng conjecture
Menezes
Extensive experiments
In 2003, Alfred Menezes, Edlyn Teske and Annegret Weng presented a conjecture on properties of the solutions of a type of quadratic equations over the binary extension fields, which had been confirmed by extensive experiments but the proof was unknown until now. We prove that this conjecture is correct. Furthermore, using this proved conjecture, we have completely determined the null space of a class of linearized polynomials.
linearized polynomials
2019-03-07
Menezes-Teske
Teske
field
On the Menezes-Teske-Weng conjecture
class
Annegret Weng
types
Alfred Menezes
2019-03-07
experiments
quadratic equation
https://scigraph.springernature.com/explorer/license/
polynomials
proof
space
conjecture
null space
Weng
binary extension fields
false
en
19-27
properties
2021-12-01T19:44
articles
solution
equations
https://doi.org/10.1007/s12095-019-00359-5
Sihem
Mesnager
1936-2447
1936-2455
Cryptography and Communications
Springer Nature
School of Mathematics and Information, China West Normal University, 637002, Nanchong, Sichuan, China
School of Mathematics and Information, China West Normal University, 637002, Nanchong, Sichuan, China
dimensions_id
pub.1112587678
Tang
Chunming
Department of Mathematics, University of Paris VIII, University of Paris XIII, LAGA, UMR 7539, CNRS and Telecom ParisTech, Paris, France
Department of Mathematics, University of Paris VIII, University of Paris XIII, LAGA, UMR 7539, CNRS and Telecom ParisTech, Paris, France
Kwang Ho
Kim
1
Springer Nature - SN SciGraph project
Choe
Junyop
12
Institute of Mathematics, State Academy of Sciences, Pyongyang, DPR, Korea
PGItech Corp., Pyongyang, DPR, Korea
PGItech Corp., Pyongyang, DPR, Korea
Institute of Mathematics, State Academy of Sciences, Pyongyang, DPR, Korea
Pure Mathematics
Mathematical Sciences
10.1007/s12095-019-00359-5
doi