TY - GEN
T1 - A note on the relation between a sampling theorem for functions over a GF(q)n domain and linear codes
AU - Ukita, Yoshifumi
AU - Saito, Tomohiko
AU - Matsushima, Toshiyasu
AU - Hirasawa, Shigeichi
PY - 2009/12/1
Y1 - 2009/12/1
N2 - In this paper, we generalize the sampling theorem for bandlimited functions over the Boolean domain to a sampling theorem for bandlimited functions over a GF(q)n domain. We also present a theorem for the relation between the parity check matrix of a linear code and any distinct error vectors. Lastly, we clarify the relation between the sampling theorem for functions over a GF(q)n domain and linear codes.
AB - In this paper, we generalize the sampling theorem for bandlimited functions over the Boolean domain to a sampling theorem for bandlimited functions over a GF(q)n domain. We also present a theorem for the relation between the parity check matrix of a linear code and any distinct error vectors. Lastly, we clarify the relation between the sampling theorem for functions over a GF(q)n domain and linear codes.
KW - Discrete fourier transform
KW - Error-correcting codes
KW - Experimental designs
KW - Orthogonal designs
UR - http://www.scopus.com/inward/record.url?scp=74849107933&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=74849107933&partnerID=8YFLogxK
U2 - 10.1109/ICSMC.2009.5346131
DO - 10.1109/ICSMC.2009.5346131
M3 - Conference contribution
AN - SCOPUS:74849107933
SN - 9781424427949
T3 - Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
SP - 2665
EP - 2670
BT - Proceedings 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
T2 - 2009 IEEE International Conference on Systems, Man and Cybernetics, SMC 2009
Y2 - 11 October 2009 through 14 October 2009
ER -