Generalized bent functions into $\mathbb {Z}_{p^{k}}$ from the partial spread and the Maiorana-McFarland class-Reference-Cited by-同舟云学术

Generalized bent functions into $\mathbb {Z}_{p^{k}}$ from the partial spread and the Maiorana-McFarland class

Published:2019-05-21 Issue:6 Volume:11 Page:1233-1245
ISSN:1936-2447
Container-title:Cryptography and Communications
language:en
Short-container-title:Cryptogr. Commun.

Author:

Meidl Wilfried,Pott Alexander

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Networks and Communications

Link

http://link.springer.com/content/pdf/10.1007/s12095-019-00370-w.pdf

Reference19 articles.

1. Baum, L., Neuwirth, L.: Decompositions of vector spaces over GF(2) into disjoint equidimensional affine spaces. J. Combin. Theory Ser. A 18, 88–100 (1975)

2. Carlet, C., et al.: On bent and highly non-linear balanced/resilient functions and their algebraic immunities. In: Fossorier, M. P. C. (ed.) AAECC, Lecture notes in computer science 3857, pp 1–28. Springer-Verlag, New York (2006)

3. Carlet, C.: Two new classes of bent functions. In: Advances in Cryptology–EUROCRYPT93, Lecture Notes Comput. Sci 765, pp.77–101, Springer-Verlag (1994)

4. Hodzić, S., Meidl, W., Pasalic, E.: Full characterization of generalized bent functions as (semi)-bent spaces, their dual, and the Gray image. IEEE Trans. Inform. Theory 64, 5432–5440 (2018)

5. Kolomeec, N.: Enumeration of the bent functions of least deviation from a quadratic bent function. J. Appl. Ind. Math. 6, 306–317 (2012)

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Generalized bent functions with large dimension;Advances in Mathematics of Communications;2023

2. Equivalence for generalized Boolean functions;Advances in Mathematics of Communications;2023

3. Generalized semifield spreads;Designs, Codes and Cryptography;2022-10-13

4. Secondary constructions of bm$p$-ary (non-)weakly regular bent functions;SCIENTIA SINICA Mathematica;2022-09-01

5. On the Duals of Generalized Bent Functions;IEEE Transactions on Information Theory;2022-07