NEARLY OPTIMAL CODEBOOKS FROM GENERALIZED BOOLEAN BENT FUNCTIONS OVER Z4

NEARLY OPTIMAL CODEBOOKS FROM GENERALIZED BOOLEAN BENT FUNCTIONS OVER Z4

In this paper, based on the theory of Z4-valued quadratic forms we propose several classes of generalized Boolean bent functions over Z4, and new families of codebooks are constructed from these functions. The codebooks constructed in this paper are nearly optimal with respect to the Welch bound, an...

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Bibliographic Details
Main Authors: Li, N. (Author), Wang, L. (Author), Xu, Y. (Author), Zhou, J. (Author)
Format: Article
Language:English
Published: American Institute of Mathematical Sciences 2022
Subjects:
Boolean bent function
Codebook
generalized bent function
nearly optimal
Z4-valued quadratic form
Online Access:View Fulltext in Publisher
Description
Summary:In this paper, based on the theory of Z4-valued quadratic forms we propose several classes of generalized Boolean bent functions over Z4, and new families of codebooks are constructed from these functions. The codebooks constructed in this paper are nearly optimal with respect to the Welch bound, and their parameters are new. Furthermore, some Boolean bent functions are also derived. © 2022, American Institute of Mathematical Sciences. All rights reserved.
ISBN:19305346 (ISSN)
ISSN:19305346 (ISSN)
DOI:10.3934/amc.2020121

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