Studies on the distribution of the shortest linear recurring sequences
Information Sciences: an International Journal
Bounds on collaborative decoding of interleaved Hermitian codes and virtual extension
Designs, Codes and Cryptography
Fast skew-feedback shift-register synthesis
Designs, Codes and Cryptography
Decoding interleaved Reed---Solomon codes beyond their joint error-correcting capability
Designs, Codes and Cryptography
| Hi-index | 754.84 |
The problem of finding a linear-feedback shift register of shortest length capable of generating prescribed multiple sequences is considered. A generalized Euclidean algorithm, which is based on a generalized polynomial division algorithm, is presented. A necessary and sufficient condition for the uniqueness of the solution is given. When the solution is not unique, the set of all possible solutions is also derived. It is shown that the algorithm can be applied to the decoding of many cyclic codes for which multiple syndrome sequences are available. When it is applied to the case of a single sequence, the algorithm reduces to that introduced by Y. Sugiyama et al. (Inf. Control, vol.27, p.87-9, Feb. 1975) in the decoding of BCH codes