Information on Result #1610328
Linear OOA(3220, 19682, F3, 4, 33) (dual of [(19682, 4), 78508, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3220, 19682, F3, 3, 33) (dual of [(19682, 3), 58826, 34]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3220, 59046, F3, 33) (dual of [59046, 58826, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3220, 59048, F3, 33) (dual of [59048, 58828, 34]-code), using
- 1 times truncation [i] based on linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- 1 times truncation [i] based on linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3220, 59048, F3, 33) (dual of [59048, 58828, 34]-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(3220, 4920, F3, 36, 33) (dual of [(4920, 36), 176900, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |