Information on Result #1651783
Linear OOA(3241, 18139, F3, 5, 37) (dual of [(18139, 5), 90454, 38]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3241, 18139, F3, 3, 37) (dual of [(18139, 3), 54176, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 19683, F3, 3, 37) (dual of [(19683, 3), 58808, 38]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3241, 59049, F3, 37) (dual of [59049, 58808, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- OOA 3-folding [i] based on linear OA(3241, 59049, F3, 37) (dual of [59049, 58808, 38]-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(3241, 4534, F3, 45, 37) (dual of [(4534, 45), 203789, 38]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |