NDLI: Secondary constructions of Boolean functions with maximum algebraic immunity

Please wait, while we are loading the content...

Secondary constructions of Boolean functions with maximum algebraic immunity

Content Provider	Springer Nature Link
Author	Limniotis, Konstantis Kolokotronis, Nicholas Kalouptsidis, Nicholas
Copyright Year	2013
Abstract	The algebraic immunity of cryptographic Boolean functions with odd number of variables is studied in this paper. Proper modifications of functions with maximum algebraic immunity are proved that yield new functions whose algebraic immunity is also maximum. Several results are provided for both the multivariate and univariate representation, and their applicability is shown on known classes of Boolean functions. Moreover, new efficient algorithms to produce functions of guaranteed maximum algebraic immunity are developed, which further extend and generalize well-known constructions in this area. It is shown that high nonlinearity as well as good behavior against fast algebraic attacks are also achievable in several cases.
Starting Page	179
Ending Page	199
Page Count	21
File Format	PDF
ISSN	19362447
Journal	Cryptography and Communications
Volume Number	5
Issue Number	3
e-ISSN	19362455
Language	English
Publisher	Springer US
Publisher Date	2013-02-07
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Algebraic attack Algebraic immunity Annihilators Boolean functions Cryptography Data Structures, Cryptology and Information Theory Coding and Information Theory Communications Engineering, Networks Information and Communication, Circuits Mathematics of Computing
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computer Networks and Communications Computational Theory and Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A design of Boolean functions resistant to (fast) algebraic cryptanalysis with efficient implementation

Characterization of robust immune symmetric boolean functions

On various nonlinearity measures for boolean functions

Constructions of negabent functions over finite fields

Cryptographic properties of nested functions and algebraic immunity of the Boolean function in Hitag2 stream cipher

Functions of degree 4e that are not APN infinitely often

Cryptographic Boolean functions with biased inputs

Generalized Bent Functions - Some General Construction Methods and Related Necessary and Sufficient Conditions

On the nonlinearity of S-boxes and linear codes

Secondary constructions of Boolean functions with maximum algebraic immunity

Similar Documents

A design of Boolean functions resistant to (fast) algebraic cryptanalysis with efficient implementation

Characterization of robust immune symmetric boolean functions

On various nonlinearity measures for boolean functions

Constructions of negabent functions over finite fields

Cryptographic properties of nested functions and algebraic immunity of the Boolean function in Hitag2 stream cipher

Functions of degree 4e that are not APN infinitely often

Cryptographic Boolean functions with biased inputs

Generalized Bent Functions - Some General Construction Methods and Related Necessary and Sufficient Conditions

On the nonlinearity of S-boxes and linear codes

Secondary constructions of Boolean functions with maximum algebraic immunity