A Method for Constructing Ternary Linear Complementary Dual Codes

HUANG Shan; ZHU Shixin; LI Jin

doi:10.11999/JEIT211235

Volume 45 Issue 1

Jan. 2023

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HUANG Shan, ZHU Shixin, LI Jin. A Method for Constructing Ternary Linear Complementary Dual Codes[J]. Journal of Electronics & Information Technology, 2023, 45(1): 353-360. doi: 10.11999/JEIT211235

Citation:

HUANG Shan, ZHU Shixin, LI Jin. A Method for Constructing Ternary Linear Complementary Dual Codes[J]. Journal of Electronics & Information Technology, 2023, 45(1): 353-360. doi: 10.11999/JEIT211235

HUANG Shan, ZHU Shixin, LI Jin. A Method for Constructing Ternary Linear Complementary Dual Codes[J]. Journal of Electronics & Information Technology, 2023, 45(1): 353-360. doi: 10.11999/JEIT211235

Citation:

HUANG Shan, ZHU Shixin, LI Jin. A Method for Constructing Ternary Linear Complementary Dual Codes[J]. Journal of Electronics & Information Technology, 2023, 45(1): 353-360. doi: 10.11999/JEIT211235

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A Method for Constructing Ternary Linear Complementary Dual Codes

doi: 10.11999/JEIT211235

HUANG Shan^{1
,
,},
ZHU Shixin²,
LI Jin²

1.
Anhui Vocational College of Police Officers, Hefei 230031, China
2.
School of Mathematics, Hefei University of Technology, Hefei 230601, China

Funds: The National Natural Science Foundation of China (12171134) , The Key Projects of Natural Science Research of Universities in Anhui Province (KJ2021A1469) , The Fundamental Research Funds of the Central Universties (JZ2022HGTB0264)

Received Date: 2021-11-08
Rev Recd Date: 2022-09-01

Available Online: 2022-09-03

Publish Date: 2023-01-17

Abstract

Abstract

Linear Complementary Dual (LCD) codes have important applications to resisting side-channel analysis and fault-injection attacks. A method is proposed to construct ternary LCD codes by using linear codes over ring $ {\mathbb{F}_3} + u{\mathbb{F}_3} $, where $ {u^2} = 0 $. A Gray map from $ {({\mathbb{F}_3} + u{\mathbb{F}_3})^n} $ to $ \mathbb{F}_3^{2n} $ is introduced, and a sufficient condition for the Gray image of linear codes with length $ n $ over $ {\mathbb{F}_3} + u{\mathbb{F}_3} $ to be ternary LCD codes with length $ 2n $ is given. Four classes of ternary LCD codes with better parameters are constructed via the Gray image of cyclic codes over $ {\mathbb{F}_3} + u{\mathbb{F}_3} $.
- Optimal codes,
- Linear Complementary Dual (LCD) codes,
- Ternary codes

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References(39)

References

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