TY - GEN
T1 - Novel algebraic constructions of nonbinary structured LDPC codes over finite fields
AU - Liu, Keke
AU - Fei, Zesong
AU - Kuang, Jingming
PY - 2008
Y1 - 2008
N2 - In this paper, we present three algebraic methods for constructing structured nonbinary LDPC codes over finite fields, among which the first method is based on the multiplicative inverses of nonzero elements in finite fields and gives a class of quasi-cyclic codes with girth 6, the second method gives a class of (3, ρ) quasi-cyclic codes with girth 8, the third method gives a class of structured codes with cycles limited. The codes given in examples perform well over AWGN channel and have better performances or far lower computational complexities than the corresponding random Mackay codes or codes algebraically constructed by Shu Lin.
AB - In this paper, we present three algebraic methods for constructing structured nonbinary LDPC codes over finite fields, among which the first method is based on the multiplicative inverses of nonzero elements in finite fields and gives a class of quasi-cyclic codes with girth 6, the second method gives a class of (3, ρ) quasi-cyclic codes with girth 8, the third method gives a class of structured codes with cycles limited. The codes given in examples perform well over AWGN channel and have better performances or far lower computational complexities than the corresponding random Mackay codes or codes algebraically constructed by Shu Lin.
KW - Cycles-limited LDPC codes
KW - Finite fields
KW - Multiplicative inverses
KW - Nonbinary LDPC codes
UR - http://www.scopus.com/inward/record.url?scp=58149112094&partnerID=8YFLogxK
U2 - 10.1109/VETECF.2008.160
DO - 10.1109/VETECF.2008.160
M3 - Conference contribution
AN - SCOPUS:58149112094
SN - 9781424417223
T3 - IEEE Vehicular Technology Conference
BT - The 68th IEEE Vehicular Technology Conference, VTC 2008-Fall
T2 - 68th Semi-Annual IEEE Vehicular Technology, VTC 2008-Fall, Conference
Y2 - 21 September 2008 through 24 September 2008
ER -