Information on Result #1651306
Linear OOA(3236, 74521, F3, 5, 30) (dual of [(74521, 5), 372369, 31]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3236, 74521, F3, 2, 30) (dual of [(74521, 2), 148806, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3236, 88608, F3, 2, 30) (dual of [(88608, 2), 176980, 31]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3236, 177216, F3, 30) (dual of [177216, 176980, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(3236, 177217, F3, 30) (dual of [177217, 176981, 31]-code), using
- 1 times truncation [i] based on linear OA(3237, 177218, F3, 31) (dual of [177218, 176981, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(3221, 177147, F3, 31) (dual of [177147, 176926, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3166, 177147, F3, 23) (dual of [177147, 176981, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(316, 71, F3, 7) (dual of [71, 55, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(3237, 177218, F3, 31) (dual of [177218, 176981, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3236, 177217, F3, 30) (dual of [177217, 176981, 31]-code), using
- OOA 2-folding [i] based on linear OA(3236, 177216, F3, 30) (dual of [177216, 176980, 31]-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(3236, 24840, F3, 35, 30) (dual of [(24840, 35), 869164, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |