A Cyclic Code with Given Generator
The following cyclic, constacyclic or quasi-cyclic codes are known to MinT:
| Base | Parameters | Generator | Â | Ref. |
| F2 | [33, 13, 10] | ⟨100001111010111100001000000000000⟩ | G |  |
| F2 | [43, 15, 13] | ⟨1110100111011010110111001011100000000000000⟩ | G |  |
| F3 | [14, 8, 5] | ⟨12110112100000⟩−1 | P | [1] |
References
| [1] | F. R. Kschischang and R. Pasupathy. Some ternary and quaternary codes and associated sphere packings. IEEE Transactions on Information Theory, 38(2):227–246, March 1992. doi:10.1109/18.119683 |
Copyright
Copyright © 2004, 2005, 2006, 2007, 2008, 2009, 2010 by Rudolf Schürer and Wolfgang Ch. Schmid.
Cite this as: Rudolf Schürer and Wolfgang Ch. Schmid. “A Cyclic Code with Given Generator.”
From MinT—the database of optimal net, code, OA, and OOA parameters.
Version: 2024-09-05.
http://mint.sbg.ac.at/desc_CExplicit.html