A New Class of Bent Functions
Summary :
In this letter, using techniques from linear algebra and coding theory, we characterize the quadratic Boolean functions represented by trace. We show that a linear combination of trace-terms over finite field can be determined to be bent by a polynomial GCD computation. Then we derive some new families of bent functions.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.7 pp.2039-2040
- Publication Date
- 2005/07/01
- Publicized
- Online ISSN
- DOI
- 10.1093/ietfec/e88-a.7.2039
- Type of Manuscript
- LETTER
- Category
- Spread Spectrum Technologies and Applications
Authors
Keyword
Latest Issue
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WenPing MA, MoonHo LEE, FuTai ZHANG, "A New Class of Bent Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 7, pp. 2039-2040, July 2005, doi: 10.1093/ietfec/e88-a.7.2039.
Abstract: In this letter, using techniques from linear algebra and coding theory, we characterize the quadratic Boolean functions represented by trace. We show that a linear combination of trace-terms over finite field can be determined to be bent by a polynomial GCD computation. Then we derive some new families of bent functions.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.7.2039/_p
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@ARTICLE{e88-a_7_2039,
author={WenPing MA, MoonHo LEE, FuTai ZHANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A New Class of Bent Functions},
year={2005},
volume={E88-A},
number={7},
pages={2039-2040},
abstract={In this letter, using techniques from linear algebra and coding theory, we characterize the quadratic Boolean functions represented by trace. We show that a linear combination of trace-terms over finite field can be determined to be bent by a polynomial GCD computation. Then we derive some new families of bent functions.},
keywords={},
doi={10.1093/ietfec/e88-a.7.2039},
ISSN={},
month={July},}
Copy
TY - JOUR
TI - A New Class of Bent Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2039
EP - 2040
AU - WenPing MA
AU - MoonHo LEE
AU - FuTai ZHANG
PY - 2005
DO - 10.1093/ietfec/e88-a.7.2039
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2005
AB - In this letter, using techniques from linear algebra and coding theory, we characterize the quadratic Boolean functions represented by trace. We show that a linear combination of trace-terms over finite field can be determined to be bent by a polynomial GCD computation. Then we derive some new families of bent functions.
ER -
English
