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检索条件"主题词=ternary code"
22 条 记 录,以下是1-10 订阅
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On a class of optimal constant weight ternary codes
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DESIGNS codeS AND CRYPTOGRAPHY 2023年 第1期91卷 45-54页
作者: Kharaghani, Hadi Suda, Sho Zaitsev, Vlad Univ Lethbridge Dept Math & Comp Sci Lethbridge AB T1K 3M4 Canada Natl Def Acad Japan Dept Math Yokosuka Kanagawa 2398686 Japan
A weighing matrix W of order n = p(m+1)-1/p-1 and weight p(m) is constructed and shown that the rows of W and -W together form optimal constant weight ternary codes of length n, weight p(m) and minimum distance p(m-1)... 详细信息
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Reconfigurable mechanism-based metamaterials for ternary-coded elastic wave polarizers and programmable refraction control
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Applied Mathematics and Mechanics(English Edition) 2024年 第7期45卷 1225-1242页
作者: Zhou HU Zhibo WEI Yan CHEN Rui ZHU School of Aerospace Engineering Beijing Institute of TechnologyBeijing100081China School of Mechanical Engineering Tianjin UniversityTianjin300350China Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education Tianjin UniversityTianjin300350China
Elastic metamaterials with unusual elastic properties offer unprecedented ways to modulate the polarization and propagation of elastic ***,most of them rely on the resonant structural components,and thus are frequency... 详细信息
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On some conjectures about optimal ternary cyclic codes
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APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 2022年 第4期33卷 419-436页
作者: Liu, Qian Liu, Ximeng Fuzhou Univ Coll Math & Comp Sci Fuzhou 350108 Peoples R China Fuzhou Univ Key Lab Informat Secur Network Syst Fuzhou 350108 Peoples R China
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems and communication systems as they have efficient encoding and decoding algorithms. In this paper, by inve... 详细信息
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Linear codes of 2-designs as subcodes of the generalized Reed-Muller codes
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CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES 2021年 第3期13卷 407-423页
作者: He, Zhiwen Wen, Jiejing Zhejiang Univ Sch Math Sci Hangzhou 310027 Peoples R China Shandong Univ Key Lab Cryptol Technol & Informat Secur Minist Educ Qingdao 266237 Peoples R China Shandong Univ Sch Cyber Sci & Technol Qingdao 266237 Peoples R China
This paper is devoted to the affine-invariant ternary codes defined by Hermitian functions. We first compute the incidence matrices of the 2-designs supported by the minimum weight codewords of these ternary codes. Th... 详细信息
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Characterization and classification of optimal LCD codes
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DESIGNS codeS AND CRYPTOGRAPHY 2021年 第4期89卷 617-640页
作者: Araya, Makoto Harada, Masaaki Saito, Ken Shizuoka Univ Dept Comp Sci Hamamatsu Shizuoka 4328011 Japan Tohoku Univ Res Ctr Pure & Appl Math Grad Sch Informat Sci Sendai Miyagi 9808579 Japan
Linear complementary dual (LCD) codes are linear codes that intersect with their dual trivially. We give a characterization of LCD codes over F-q having large minimum weights for q is an element of{2,3}. Using the cha... 详细信息
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On the minimum weights of binary LCD codes and ternary LCD codes
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FINITE FIELDS AND THEIR APPLICATIONS 2021年 76卷 101925-101925页
作者: Araya, Makoto Harada, Masaaki Saito, Ken Shizuoka Univ Dept Comp Sci Hamamatsu Shizuoka 4328011 Japan Tohoku Univ Grad Sch Informat Sci Res Ctr Pure & Appl Math Sendai Miyagi 9808579 Japan
Linear complementary dual (LCD) codes are linear codes that intersect with their dual codes trivially. We study the largest minimum weight d(2)(n, k) among all binary LCD [n, k] codes and the largest minimum weight d(... 详细信息
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On an open problem about a class of optimal ternary cyclic codes
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FINITE FIELDS AND THEIR APPLICATIONS 2019年 59卷 335-343页
作者: Han, Dongchun Yan, Haode Southwest Jiaotong Univ Sch Math Chengdu 610031 Sichuan Peoples R China
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems and communication systems as they have efficient encoding and decoding algorithms. In this paper, we sett... 详细信息
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Four-Mode Programmable Metamaterial Using ternary Foldable Origami
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ACS APPLIED MATERIALS & INTERFACES 2019年 第31期11卷 28554-28561页
作者: Dinh Hai Le Lim, Sungjoon Chung Ang Univ Sch Elect & Elect Engn 221 Heukseok Dong Seoul 06974 South Korea
Designing a multifunctional metamaterial with programmable feature has become a new trend in mechanical, acoustic, and electromagnetic research fields due to the controllability of their structural behaviors and funct... 详细信息
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A family of optimal ternary cyclic codes from the Niho-type exponent
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FINITE FIELDS AND THEIR APPLICATIONS 2018年 第Nov.期54卷 101-112页
作者: Yan, Haode Zhou, Zhengchun Du, Xiaoni Southwest Jiaotong Univ Sch Math Chengdu 610031 Sichuan Peoples R China State Key Lab Cryptol POB 5159 Beijing 100878 Peoples R China Northwest Normal Univ Coll Math & Stat Lanzhou 730070 Gansu Peoples R China
Due to their wide applications in consumer electronics, data storage systems and communication systems, cyclic codes have been an interesting research topic in coding theory. The objective of this paper is to present ... 详细信息
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On the classification of certain ternary codes of length 12
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HIROSHIMA MATHEMATICAL JOURNAL 2016年 第1期46卷 87-96页
作者: Araya, Makoto Harada, Masaaki Shizuoka Univ Fac Informat Dept Comp Sci Hamamatsu Shizuoka 4328011 Japan Tohoku Univ Grad Sch Informat Sci Res Ctr Pure & Appl Math Sendai Miyagi 9808579 Japan
Shimada and Zhang studied the existence of polarizations on some super-singular K3 surfaces by reducing the existence of the polarizations to that of ternary [12, 5] codes satisfying certain conditions. In this note, ... 详细信息
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