IEICE TRANSACTIONS on Fundamentals
A Note on the Zero-Difference Balanced Functions with New Parameters
Summary :
As a generalization of perfect nonlinear (PN) functions, zero-difference balanced (ZDB) functions play an important role in coding theory, cryptography and communications engineering. Inspired by a foregoing work of Liu et al. [1], we present a class of ZDB functions with new parameters based on the cyclotomy in finite fields. Employing these ZDB functions, we obtain simultaneously optimal constant composition codes and perfect difference systems of sets.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E102-A No.10 pp.1402-1405
- Publication Date
- 2019/10/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E102.A.1402
- Type of Manuscript
- LETTER
- Category
- Cryptography and Information Security
Authors
Shanding XU
Nanjing Institute of Technology
Xiwang CAO
Nanjing University of Aeronautics and Astronautics,Chinese Academy of Sciences
Jian GAO
Shandong University of Technology
Keyword
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Shanding XU, Xiwang CAO, Jian GAO, "A Note on the Zero-Difference Balanced Functions with New Parameters" in IEICE TRANSACTIONS on Fundamentals,
vol. E102-A, no. 10, pp. 1402-1405, October 2019, doi: 10.1587/transfun.E102.A.1402.
Abstract: As a generalization of perfect nonlinear (PN) functions, zero-difference balanced (ZDB) functions play an important role in coding theory, cryptography and communications engineering. Inspired by a foregoing work of Liu et al. [1], we present a class of ZDB functions with new parameters based on the cyclotomy in finite fields. Employing these ZDB functions, we obtain simultaneously optimal constant composition codes and perfect difference systems of sets.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E102.A.1402/_p
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@ARTICLE{e102-a_10_1402,
author={Shanding XU, Xiwang CAO, Jian GAO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Note on the Zero-Difference Balanced Functions with New Parameters},
year={2019},
volume={E102-A},
number={10},
pages={1402-1405},
abstract={As a generalization of perfect nonlinear (PN) functions, zero-difference balanced (ZDB) functions play an important role in coding theory, cryptography and communications engineering. Inspired by a foregoing work of Liu et al. [1], we present a class of ZDB functions with new parameters based on the cyclotomy in finite fields. Employing these ZDB functions, we obtain simultaneously optimal constant composition codes and perfect difference systems of sets.},
keywords={},
doi={10.1587/transfun.E102.A.1402},
ISSN={1745-1337},
month={October},}
Copy
TY - JOUR
TI - A Note on the Zero-Difference Balanced Functions with New Parameters
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1402
EP - 1405
AU - Shanding XU
AU - Xiwang CAO
AU - Jian GAO
PY - 2019
DO - 10.1587/transfun.E102.A.1402
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E102-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2019
AB - As a generalization of perfect nonlinear (PN) functions, zero-difference balanced (ZDB) functions play an important role in coding theory, cryptography and communications engineering. Inspired by a foregoing work of Liu et al. [1], we present a class of ZDB functions with new parameters based on the cyclotomy in finite fields. Employing these ZDB functions, we obtain simultaneously optimal constant composition codes and perfect difference systems of sets.
ER -
English
