Comparison between Generalized Integrated Interleaved Codes and Generalized Error Location Codes

被引:0
作者
Li, Wenjie [1 ]
Lin, Jun [1 ]
Wang, Zhongfeng [1 ]
机构
[1] Nanjing Univ, Sch Elect Sci & Engn, Nanjing, Jiangsu, Peoples R China
来源
2018 IEEE 18TH INTERNATIONAL CONFERENCE ON COMMUNICATION TECHNOLOGY (ICCT) | 2018年
关键词
generalized integrated interleaved codes; generalized error location codes; subcodes; multi-level codes; conversion matrix; parity-check matrix;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Generalized Integrated Interleaved (GII) codes and Generalized Error Location (GEL) codes are both multi-level codes, whose redundancy of each layer is shared by other layers. Original GII codes are defined with a specific conversion matrix, which is studied in detail in this paper. We generalize the conversion matrix for GII codes and make it possible to employ a matrix in row echelon form to reduce the computational complexity of matrix multiplications. It is also shown that with inner codes and outer codes over the same Galois Field, a GEL code degenerates into a GII code. Moreover, the decoding performance is analyzed and some GEL and GII codes are constructed to compare from the aspects of overhead and error performance.
引用
收藏
页码:21 / 25
页数:5
相关论文
共 11 条
[1]  
Bossert M, 1999, LECT NOTES COMPUT SC, V1719, P181
[2]   Low-complexity GEL codes for digital magnetic storage systems [J].
Fahrner, A ;
Griesser, H ;
Klarer, R ;
Zyablov, VV .
IEEE TRANSACTIONS ON MAGNETICS, 2004, 40 (04) :3093-3095
[3]   Integrated interleaving - A novel ECC architecture [J].
Hassner, M ;
Abdel-Ghaffar, K ;
Patel, A ;
Koetter, R ;
Trager, B .
IEEE TRANSACTIONS ON MAGNETICS, 2001, 37 (02) :773-775
[4]   On the equivalence of generalized concatenated codes and generalized error location codes [J].
Maucher, J ;
Zyablov, VV ;
Bossert, M .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2000, 46 (02) :642-649
[5]   A novel method for combining algebraic decoding and iterative processing [J].
Tang, Xiangyu ;
Koetter, Ralf .
2006 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1-6, PROCEEDINGS, 2006, :474-+
[6]   ERROR-LOCATING CODES - A NEW CONCEPT IN ERROR CONTROL [J].
WOLF, JK ;
ELSPAS, B .
IEEE TRANSACTIONS ON INFORMATION THEORY, 1963, 9 (02) :113-&
[7]   Generalized Integrated Interleaved Codes [J].
Wu, Yingquan .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, 63 (02) :1102-1119
[8]   Modified Generalized Integrated Interleaved Codes for Local Erasure Recovery [J].
Zhang, Xinmiao .
IEEE COMMUNICATIONS LETTERS, 2017, 21 (06) :1241-1244
[9]  
Zhilin I., 2015, 14 INT S PROBL RED I, P107
[10]   Generalized Error-Locating Codes and Minimization of Redundancy for Specified Input and Output Error Probabilities [J].
Zhilin, I. V. ;
Kreshchuk, A. A. ;
Zyablov, V. V. .
JOURNAL OF COMMUNICATIONS TECHNOLOGY AND ELECTRONICS, 2015, 60 (06) :695-706