Title :
Some extended results on the search for good convolutional codes
Author :
Chang, Jinn-Ja ; Hwang, Der-June ; Lin, Mao-Chao
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
fDate :
9/1/1997 12:00:00 AM
Abstract :
We provide useful results on two classes of convolutional codes: binary codes and nonbinary codes. The best codes or the best known codes for these two classes of convolutional codes are found, by computer search. Some of them are better than those found in the past. We specify these codes by their transfer function matrices, distance spectra, and information-weight spectra. Furthermore, we derive an upper bound on the free distances of binary-to-M-ary codes and q-ary-to-M-ary codes. Numerical values of this bound closely fit the computer-searched values
Keywords :
convolutional codes; linear codes; search problems; transfer function matrices; binary codes; binary-to-M-ary codes; computer search; convolutional codes; distance spectra; extended results; free distances; information-weight spectra; nonbinary codes; q-ary-to-M-ary codes; transfer function matrices; upper bound; Binary codes; Convolution; Convolutional codes; Interference channels; Linear code; Rayleigh channels; Signal detection; Transfer functions; Transmitters; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on