The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Dalam kertas ini, dengan menggunakan sifat matriks Hadamard kitaran tertib 4t, kelas tak terhingga (4t-1)-pembolehubah 2-daya tahan putaran simetri fungsi Boolean dibina, dan ketaklinearan fungsi yang dibina juga dikaji. Untuk pengetahuan terbaik kami, ini ialah kelas pertama pembinaan langsung bagi fungsi Boolean simetri putaran 2-daya tahan. Semangat kaedah ini berbeza daripada kaedah yang diketahui bergantung kepada penyelesaian sistem persamaan yang dicadangkan oleh Du Jiao, et al. Beberapa situasi diperiksa, sebagai akibat langsung, tiga kelas (4t-1)-pembolehubah 2-daya tahan rotasi simetri fungsi Boolean dicadangkan berdasarkan jujukan yang sepadan, seperti m jujukan, jujukan Legendre, dan jujukan perdana kembar masing-masing.
Jiao DU
Henan Normal University
Shaojing FU
National University of Defense Technology
Longjiang QU
National University of Defense Technology
Chao LI
National University of Defense Technology
Tianyin WANG
Luoyang Normal University,Guilin University of Electronic Technology
Shanqi PANG
Henan Normal University
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Salinan
Jiao DU, Shaojing FU, Longjiang QU, Chao LI, Tianyin WANG, Shanqi PANG, "A Novel Construction of 2-Resilient Rotation Symmetric Boolean Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 2, pp. 93-99, February 2022, doi: 10.1587/transfun.2021EAP1037.
Abstract: In this paper, by using the properties of the cyclic Hadamard matrices of order 4t, an infinite class of (4t-1)-variable 2-resilient rotation symmetric Boolean functions is constructed, and the nonlinearity of the constructed functions are also studied. To the best of our knowledge, this is the first class of direct constructions of 2-resilient rotation symmetric Boolean functions. The spirit of this method is different from the known methods depending on the solutions of an equation system proposed by Du Jiao, et al. Several situations are examined, as the direct corollaries, three classes of (4t-1)-variable 2-resilient rotation symmetric Boolean functions are proposed based on the corresponding sequences, such as m sequences, Legendre sequences, and twin primes sequences respectively.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1037/_p
Salinan
@ARTICLE{e105-a_2_93,
author={Jiao DU, Shaojing FU, Longjiang QU, Chao LI, Tianyin WANG, Shanqi PANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Novel Construction of 2-Resilient Rotation Symmetric Boolean Functions},
year={2022},
volume={E105-A},
number={2},
pages={93-99},
abstract={In this paper, by using the properties of the cyclic Hadamard matrices of order 4t, an infinite class of (4t-1)-variable 2-resilient rotation symmetric Boolean functions is constructed, and the nonlinearity of the constructed functions are also studied. To the best of our knowledge, this is the first class of direct constructions of 2-resilient rotation symmetric Boolean functions. The spirit of this method is different from the known methods depending on the solutions of an equation system proposed by Du Jiao, et al. Several situations are examined, as the direct corollaries, three classes of (4t-1)-variable 2-resilient rotation symmetric Boolean functions are proposed based on the corresponding sequences, such as m sequences, Legendre sequences, and twin primes sequences respectively.},
keywords={},
doi={10.1587/transfun.2021EAP1037},
ISSN={1745-1337},
month={February},}
Salinan
TY - JOUR
TI - A Novel Construction of 2-Resilient Rotation Symmetric Boolean Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 93
EP - 99
AU - Jiao DU
AU - Shaojing FU
AU - Longjiang QU
AU - Chao LI
AU - Tianyin WANG
AU - Shanqi PANG
PY - 2022
DO - 10.1587/transfun.2021EAP1037
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2022
AB - In this paper, by using the properties of the cyclic Hadamard matrices of order 4t, an infinite class of (4t-1)-variable 2-resilient rotation symmetric Boolean functions is constructed, and the nonlinearity of the constructed functions are also studied. To the best of our knowledge, this is the first class of direct constructions of 2-resilient rotation symmetric Boolean functions. The spirit of this method is different from the known methods depending on the solutions of an equation system proposed by Du Jiao, et al. Several situations are examined, as the direct corollaries, three classes of (4t-1)-variable 2-resilient rotation symmetric Boolean functions are proposed based on the corresponding sequences, such as m sequences, Legendre sequences, and twin primes sequences respectively.
ER -