Information on Result #1612597
Linear OOA(3244, 2331223, F3, 4, 24) (dual of [(2331223, 4), 9324648, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3244, 2331223, F3, 3, 24) (dual of [(2331223, 3), 6993425, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3244, 2796202, F3, 3, 24) (dual of [(2796202, 3), 8388362, 25]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3243, 2796202, F3, 3, 24) (dual of [(2796202, 3), 8388363, 25]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3240, 2796201, F3, 3, 24) (dual of [(2796201, 3), 8388363, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3240, large, F3, 24) (dual of [large, large−240, 25]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- OOA 3-folding [i] based on linear OA(3240, large, F3, 24) (dual of [large, large−240, 25]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3240, 2796201, F3, 3, 24) (dual of [(2796201, 3), 8388363, 25]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3243, 2796202, F3, 3, 24) (dual of [(2796202, 3), 8388363, 25]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3244, 777074, F3, 28, 24) (dual of [(777074, 28), 21757828, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |