|
|
|
| One-Lee Weight Codes and Two-Lee Weight Projective odes Over F2+uF2
|
| WANG Yu-1, 2 , ZHU Shi-Xin-3, KAI Xiao-Shan-3, DENG Lin-4 |
| (1. Department of Mathematics and Physics, Hefei University, Hefei 230601, China; 2. School of Computer and Information, Hefei University of Technology, Hefei 230009, China; 3. School of Mathematics, Hefei University of Technology, Hefei 230009, China; 4. Information Center, Hefei University of Technology, Hefei 230009, China) |
|
|
|
|
Abstract The structure and properties of one-Lee weight codes and two-Lee weight projective codes over the ring F2+uF2 were investigated. A construction method of oneLee weight codes and twoLee weight projective codes over the ring F2+uF2 was given. Under the Gray map from F2+uF2 to F2, two classes of binary optimal linear codes with parameters ［2m+1－2,m,2m］ and ［2m－1, m, 2m－2］ were obtained, the latter is equivalent to the binary firstorder ReedMuller codes RM(1,m-1).
Key words：
|
|
Received: 24 May 2011
Published: 28 June 2012
|
|
|
|
|
|
| [1] |
JIANG Dong-Dong, HONG Fang-Jun, ZHENG Ping. Droplet Oscillations under AC Electrowetting[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 513-518. |
| [2] |
HUANG Xiang-Long, ZHANG Xiao-Jing, BAI Guo-Juan, XU Wu, WANG Hai. Residual Strength Analysis of Thin-Walled Structures with Multiple Site Damage Based on Crack Tip Opening Angle Method[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 519-524. |
| [3] |
LIU Yi-Peng, HU Xue-Yu, CHEN Jia-Luo, WANG Ping-Yang, DU Chao-Hui. Direct Image Correction Algorithm for PIV Measurement of Flowfield within Circular Tube[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 525-532. |
| [4] |
ZHU Han-Hao, PU Sheng-Chun, ZHANG Hai-Gang, LIU Wei, AN Xu-Dong. Verification of the Calculation of Acoustic Field with Typical Bottom Based on Parabolic Equation in Scaled Tank Experiment[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 532-537. |
| [5] |
YANG Jing-Jing-1, LIU Yong-Sheng-1, FANG Wen-Jian-1, FANG Jin-1, PENG Lin-1, YANG Zheng-Long-2, GAO Tian-1, GU Min-An-1. Design and Efficiency of Photovoltaic-Thermoelectric Power Generator with Negative Feedback Characteristic[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 550-554. |
| [6] |
LIU Chen-Yan-1, 2 , PAN Li-1, 2 , ZI Xiao-Chao-2. A Binary-String-Set-Based Algebraic Framework for Policy Composition[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 579-583. |
| [7] |
PENG Yan-Bin-1, ZHENG Zhi-Jun-1, YU Cheng-Bo-2, LI Ji-Ming-3. Automated Negotiation Decision Model Based on Classifier Fusion[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(04): 644-649. |
| [8] |
NING Xiao-Lin-1, ZHAO Yi-Fei-2, CHEN Fei-儿1. Index System and Prosperity Indices of Global Shipping Industry and Applied Research[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 417-422. |
| [9] |
KONG Xiang-Qiang-1, LIN Lin-1, LI Ying-1, ZHANG Dong-2, YANG Qian-Ming-1. Effect of Refrigerant Charge on the Performance of a Direct Expansion Solar Assisted Heat Pump Water Heater Using R410A[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 370-375. |
| [10] |
HUANG Kang, 欧Yang-Guang-Yao , AN Shi-Jie, CHANG Han-Bao. Design and Simulation Research on Double-Staggered Arranged Porous Nozzle[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 434-437. |
| [11] |
WANG Lei, GU Meng-Di. Optimal Reinsurance-Investment Strategies in a Mean-Reverting Market[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 438-443. |
| [12] |
XIONG Hao, YAN Hui-Li, ZHOU He-Ping, LIU Wu-Sheng. Real-Time Optimization Strategy of the Multi-Period Dynamic Vehicle Routing Problems[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 450-453. |
| [13] |
HONG Jiang-Tao-1, YANG Xiao-Yan-1, CHEN Jun-Fang-2. An Empirical Research on the Relationship among Knowledge Management, Knowledge Competence and Core Competence[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 444-449. |
| [14] |
LI Bin-a, JI Jian-Hua-a, b , LI Guo-Wei-a. Study on Supply Chain Robustness Index Mode Considering Profits and Risks[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(03): 484-488. |
| [15] |
XU Shi-Yin, HUANG Xiu-Chang, HUA Hong-Xing. Study on the Band Structure of Hexagonal Chiral Structures[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2013, 47(02): 167-172. |
|
|
|
|
