Information on Result #1643113
Linear OOA(3121, 18187, F3, 5, 19) (dual of [(18187, 5), 90814, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3121, 18187, F3, 3, 19) (dual of [(18187, 3), 54440, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3121, 19683, F3, 3, 19) (dual of [(19683, 3), 58928, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(3121, 59049, F3, 19) (dual of [59049, 58928, 20]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3121, 9093, F3, 25, 19) (dual of [(9093, 25), 227204, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |