Title :
Quasi-cyclic codes from extended difference families
Author :
Xia, Tao ; Xia, Bo
Author_Institution :
Arizona Univ., Tucson, AZ, USA
Abstract :
Quasi-cyclic codes are renowned for their structural design and low-complexity shift register encoding. However, existing design techniques based on difference families have limited code size options due to algebraic constraints. We introduce in this paper a notation of extended difference family (EDF) and provide a systematic code design based on EDFs with a high degree of flexibility in code size. Short/medium-length codes of high rate (≥ 0.9) can be easily constructed.
Keywords :
cyclic codes; parity check codes; LDPC codes; code size constraints; extended difference families; low-complexity shift register encoding; low-density parity-check codes; medium-length high rate codes; parity-check matrix; quasi-cyclic codes; short-length high rate codes; Encoding; Heuristic algorithms; Parity check codes; Performance analysis; Polynomials; Shift registers;
Conference_Titel :
Wireless Communications and Networking Conference, 2005 IEEE
Print_ISBN :
0-7803-8966-2
DOI :
10.1109/WCNC.2005.1424651
