Loughborough University
Browse

File(s) under embargo

Reason: Publisher requirement.

5

month(s)

18

day(s)

until file(s) become available

Coset leaders of the first order Reed-Muller codes in the classes of Niho functions and threshold functions

conference contribution
posted on 2024-02-20, 13:45 authored by Claude Carlet, Serge FEUKOUA JONZOSerge FEUKOUA JONZO, Ana SalageanAna Salagean
The notion of coset leader has applications in coding theory and cryptography. It has been studied in several papers. In this paper, we extend a recent study, made on the coset leaders of the first order Reed-Muller codes, to two classes of Boolean functions which have played an important role in diverse domains of Boolean functions, and whose study was missing in this context. We characterize the coset leaders that belong to the classes of Niho functions and threshold functions (this second class being a generalization of the class of majority functions).

Funding

Boolean functions with optimal stability of their cryptographic indicators under restriction of the inputs

Engineering and Physical Sciences Research Council

Find out more...

Norwegian Research Council

History

School

  • Science

Department

  • Computer Science

Published in

Cryptography and Coding

Volume

14421

Pages

17 - 33

Source

19th IMA International Conference, IMA International Conference on Cryptography and Coding (IMACC) 2023

Publisher

Springer

Version

  • AM (Accepted Manuscript)

Rights holder

© The Author(s), under exclusive license to Springer Nature Switzerland AG

Publisher statement

This version of the contribution has been accepted for publication, after peer review (when applicable) but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/978-3-031-47818-5_2. Use of this Accepted Version is subject to the publisher’s Accepted Manuscript terms of use https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms

Publication date

2023-12-04

Copyright date

2024

ISBN

9783031478178; 9783031478185

Book series

Lecture Notes in Computer Science

Language

  • en

Editor(s)

Elizabeth A. Quaglia

Location

London, UK

Event dates

12th December 2023 - 14th December 2023

Depositor

Dr Serge FEUKOUA JONZO. Deposit date: 18 February 2024

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC