Please use this identifier to cite or link to this item:
|Title:||Multisequence shift register synthesis over commutative rings with identity with applications to decoding cyclic codes over integer residue rings|
|Citation:||Armand, M.A. (2004-01). Multisequence shift register synthesis over commutative rings with identity with applications to decoding cyclic codes over integer residue rings. IEEE Transactions on Information Theory 50 (1) : 220-229. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2003.821966|
|Abstract:||We present a new algorithm for solving the multisequence shift register synthesis problem over a commutative ring R with identity. Given a finite set of R-sequences, each of length L, the complexity of our algorithm in terms of R-multiplications is O(L2) as L → ∞. An important application of this algorithm is in the decoding of cyclic codes over ℤq up to the Hartmann-Tzeng bound, where q is a prime power. Characterization of the set of monic characteristic polynomials of a prescribed set of multiple syndrome sequences leads to an efficient decoding procedure, which we further extend to decode cyclic codes over ℤm where m is a product of prime powers.|
|Source Title:||IEEE Transactions on Information Theory|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jul 19, 2018
WEB OF SCIENCETM
checked on Jul 3, 2018
checked on Jun 29, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.