Technical Program

Paper Detail

Paper Title Puncturing and Shortening for Polar Codes via the Partial Order by Binary Domination
Paper IdentifierTH1.R1.3
Authors Min Jang, Samsung Electronics, Korea (South); Seok-Ki Ahn, Electronics and Telecommunications Research Institute (ETRI), Korea (South); Hongsil Jeong, Kyung-Joong Kim, Seho Myung, Samsung Electronics, Korea (South); Sang-Hyo Kim, Sungkyunkwan University, Korea (South); Kyeongcheol Yang, Pohang University of Science and Technology (POSTECH), Korea (South)
Session Polar Codes II
Location Le Théatre (Parterre), Level -1
Session Time Thursday, 11 July, 09:50 - 11:10
Presentation Time Thursday, 11 July, 10:30 - 10:50
Manuscript  Click here to download the manuscript
Abstract In this paper, we investigate the fundamentals of puncturing and shortening for polar codes, based on binary domination which plays a key role in polar code construction. We first prove that the orders of encoder input bits to be made incapable (by puncturing) or to be shortened are governed by binary domination. In particular, we show that binary domination completely determines incapable or shortened bit patterns for polar codes, and that all the possible incapable or shortened bit patterns can be identified. We then present the patterns of the corresponding encoder output bits to be punctured or fixed, when the incapable or shortened bits are given.