Approaching Blokh-Zyablov Error Exponent with Linear-Time Encodable/Decodable Codes

Guruswami and Indyk showed in [1] that Forney's error exponent can be achieved with linear coding complexity over binary symmetric channels. This paper extends this conclusion to general discrete-time memoryless channels and shows that Forney's and Blokh-Zyablov error exponents can be arbitrarily approached by one-level and multi-level concatenated codes with linear encoding/decoding complexity. The key result is a revision to Forney's general minimum distance decoding algorithm, which enables a low complexity integration of Guruswami-Indyk's outer codes into the concatenated coding schemes.

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Zheng Wang, Jie Luo
• Keywords: Binary Symmetric Channels, CORR 2008, Education, Linear Coding Complexity, Multi-level Concatenated Codes