LDPC Codes Achieve List-Decoding Capacity.Jonathan MosheiffNicolas ReschNoga Ron-ZewiShashwat SilasMary WoottersElectron. Colloquium Comput. Complex.
Low-Density Parity-Check Codes Achieve List-Decoding Capacity We show that Gallager's ensemble of low-density parity-check (LDPC) codes achieves list-decoding capacity with high probability. These are the first graph-... Jonathan Mosheiff,Nicolas Resch,Noga Ron-Zewi,... 被引量: 0发表: 2019...
Arikan E., “A Survey of Reed-Muller Codes From Polar Coding Perspective”, Information Theory Workshop (ITW), Piscataway, NJ, USA, Jan. 6, 2010, pp. 1-5, XP031703947, ISBN: 978-1-4244-6372-5. Arikan E., “Channel Polarization: a Method for Constructing Capacity-Achieving Codes for...
(Low-Density Parity-Check) and BCH codes. LDPC codes, invented by Gallager in his seminal doctoral thesis in 1960, can achieve extremely low error rates near channel capacity by using a low-complexity iterative decoding algorithm. The outer BCH codes are used to correct sporadic errors made by...
(Low-Density Parity-Check) and BCH codes. LDPC codes, invented by Gallager in his seminal doctoral thesis in 1960, can achieve extremely low error rates near channel capacity by using a low-complexity iterative decoding algorithm. The outer BCH codes are used to correct sporadic errors made by...
Unrolled Polar Decoders, Part II: Fast List Decoders Polar codes asymptotically achieve the symmetric capacity of memoryless channels, yet their error-correcting performance under successive-cancellation (SC) decoding for short and moderate length codes is worse than that of other modern c... G Sa...
This paper introduces ensembles of systematic accumulate-repeat-accumulate (ARA) codes which asymptotically achieve capacity on the binary erasure channel ... HD Pfister,I Sason - 《IEEE Transactions on Information Theory》 被引量: 130发表: 2007年 Analysis of Verification-based Decoding on the q-...
信道极化和极化码:极化码与ldpc码级联关键技术研究-channel polarization and polarization codes key technologies for concatenation of polarization codes and ldpc codes.docx,哈尔滨工程大学学位论文原创性声明本人郑重声明:本论文的所有工作,是在导师的指导下,由
More importantly, even if an oracle gave us sequences of codes that achieve capacity for a certain rate, it is not clear how to encode and decode them efficiently. Design of codes with efficient encoding and decoding algorithms which approach the capacity of the channel is the main ...
As memory devices become smaller and the number of levels per cell increases, more powerful ECC is required. For example, ECC is improved by decreasing the code rate for BCH codes, however, decreasing the code rate reduces the storage capacity of the NVM. Unlike BCH codes, LDPC codes allow...