The compositional inverse of a class of bilinear permutation polynomials over finite fields of characteristic 2

Baofeng Wu(Chinese Academy of Sciences), Zhuojun Liu(Peking University)

Finite Fields and Their Applications

July 24, 2013

10.1016/j.ffa.2013.05.003

Cited by 30

Related Papers

Linearized polynomials over finite fields revisited

|Finite Fields and Their Applications|2013|102

Extinction and permanence in nonautonomous competitive system with stage structure

|Journal of Mathematical Analysis and Applications|2002|76

VHL mutation drives human clear cell renal cell carcinoma progression through PI3K/AKT-dependent cholesteryl ester accumulation

|EBioMedicine|2024|40

Single-Cell Transcriptomics Reveals Immune Reconstitution in Patients with R/R T-ALL/LBL Treated with Donor-Derived CD7 CAR-T Therapy

|Clinical Cancer Research|2023|28

Further results on permutation polynomials of the form <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msup><mml:mo>−</mml:mo><mml:mi>x</mml:mi><mml:mo>+</mml:mo><mml:mi>δ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msup><mml:mo>+</mml:mo><mml:mi>L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mi>m</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:msub></mml:math>

|Finite Fields and Their Applications|2016|20