Quasi-cyclic codes from extended difference families
Tao Xia, Bo Xia · 2005
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 (/spl ges/ 0.9) can be easily constructed.