| Presentation | 2020-07-16 A Selection Method of Transmitted Bits for Polar Codes Using Generalized Hamming Weights Mizuho Asahi, Y. Vamoua, Hideki Yagi, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The polar codes, introduced by Ar?kan, can achieve the channel capacity of discrete memoryless channels with low computational and spatial complexity. Conventionally, the transmitted bits sent over the channel for polar codes are chosen based on the mutual information criterion. Recently, Li et al. have proposed a new code, called hybrid RM-Polar code, for which the transmitted bits are chosen based on both the mutual information and the minimum Hamming distance. Since the rows with low weight are dropped during the selection process, hybrid RM-Polar code greatly improves the error performance of successive cancellation-list decoding. However, Li et al. considered only the weight of a single row and thus there is still room for further investigation in view of a combination of multiple rows. In this paper, we investigate the error rate performance of hybrid RM-Polar code based on the generalized Hamming weights. The simulation results show that the performance of the proposed method depends on the relation between the minimum Hamming distance and the mutual information of transmitted bits, and it is improved when they are well-balancedly selected. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | binary symmetric channel / polar codes / RM-Polar codes / succesive cancellation decording / list decording / generalized Hamming weights |
| Paper # | IT2020-11 |
| Date of Issue | 2020-07-09 (IT) |
| Conference Information | |
| Committee | IT |
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| Conference Date | 2020/7/16(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Freshman session, General |
| Chair | Tadashi Wadayama(Nagoya Inst. of Tech.) |
| Vice Chair | Tetsuya Kojima(Tokyo Kosen) |
| Secretary | Tetsuya Kojima(Yamaguchi Univ.) |
| Assistant | Takahiro Ohta(Senshu Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Selection Method of Transmitted Bits for Polar Codes Using Generalized Hamming Weights |
| Sub Title (in English) | |
| Keyword(1) | binary symmetric channel |
| Keyword(2) | polar codes |
| Keyword(3) | RM-Polar codes |
| Keyword(4) | succesive cancellation decording |
| Keyword(5) | list decording |
| Keyword(6) | generalized Hamming weights |
| 1st Author's Name | Mizuho Asahi |
| 1st Author's Affiliation | The University of Electro-Communications(UEC) |
| 2nd Author's Name | Y. Vamoua |
| 2nd Author's Affiliation | The University of Electro-Communications(UEC) |
| 3rd Author's Name | Hideki Yagi |
| 3rd Author's Affiliation | The University of Electro-Communications(UEC) |
| Date | 2020-07-16 |
| Paper # | IT2020-11 |
| Volume (vol) | vol.120 |
| Number (no) | IT-105 |
| Page | pp.pp.1-6(IT), |
| #Pages | 6 |
| Date of Issue | 2020-07-09 (IT) |