A fast algorithm for computing distance spectrum of convolutional codes

作者: M.L. Cedervall , R. Johannesson

DOI: 10.1109/18.45271

关键词: Serial concatenated convolutional codesConcatenated error correction codeReed–Solomon error correctionMathematicsCode rateLinear codeEncoding (memory)Turbo codeAlgorithmConvolutional code

摘要: A fast algorithm for searching a tree (FAST) is presented computing the distance spectrum of convolutional codes. The profile code used to limit substantially error patterns that have be searched. can easily modified determine number nonzero information bits an incorrect path as well length event. For testing systematic codes, faster version given. FAST much than standard bidirectional search. On microVAX, d/sub infinity /=27 was verified rate R=1/2, memory M=25 in 37 s CPU time. Extensive tables R=1/2 encoders are Several listed spectra superior those any previously known codes same and memory. conjecture 2M will perform nonsystematic M given strong support. >

参考文章(18)
J. H. Griesmer, A Bound for Error-Correcting Codes IBM Journal of Research and Development. ,vol. 4, pp. 532- 542 ,(1960) , 10.1147/RD.45.0532
R. Johannesson, E. Paaske, Further results on binary convolutional codes with an optimum distance profile (Corresp.) IEEE Transactions on Information Theory. ,vol. 24, pp. 264- 268 ,(1978) , 10.1109/TIT.1978.1055850
R. Johannesson, Robustly optimal rate one-half binary convolutional codes (Corresp.) IEEE Transactions on Information Theory. ,vol. 21, pp. 464- 468 ,(1975) , 10.1109/TIT.1975.1055397
J. Bussgang, Some properties of binary convolutional code generators IEEE Transactions on Information Theory. ,vol. 11, pp. 90- 100 ,(1965) , 10.1109/TIT.1965.1053723
H. Helgert, Correction to "Short Constraint Length Rate 1/2 ́Quick-Looḱ Codes" IEEE Transactions on Communications. ,vol. 24, pp. 286- 286 ,(1976) , 10.1109/TCOM.1976.1093281
K. Larsen, Comments on "An efficient algorithm for computing free distance" by Bahl, L., et al. IEEE Transactions on Information Theory. ,vol. 19, pp. 577- 579 ,(1973) , 10.1109/TIT.1973.1055028
J.L. MasseyY, M.K. Sain, Inverses of Linear Sequential Circuits IEEE Transactions on Computers. ,vol. C-17, pp. 330- 337 ,(1968) , 10.1109/TC.1968.229392
R. Johannesson, Some long rate one-half binary convolutional codes with an optimum distance profile (Corresp.) IEEE Transactions on Information Theory. ,vol. 22, pp. 629- 631 ,(1976) , 10.1109/TIT.1976.1055599
H. Helgert, Short Constraint Length Rate 1/2 "Quick-Look" Codes IEEE Transactions on Communications. ,vol. 23, pp. 768- 773 ,(1975) , 10.1109/TCOM.1975.1092866