Information on Result #1649320
Linear OOA(3214, 80312, F3, 5, 27) (dual of [(80312, 5), 401346, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3214, 80312, F3, 2, 27) (dual of [(80312, 2), 160410, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3214, 88608, F3, 2, 27) (dual of [(88608, 2), 177002, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3214, 177216, F3, 27) (dual of [177216, 177002, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3214, 177217, F3, 27) (dual of [177217, 177003, 28]-code), using
- 1 times truncation [i] based on linear OA(3215, 177218, F3, 28) (dual of [177218, 177003, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(19) [i] based on
- linear OA(3199, 177147, F3, 28) (dual of [177147, 176948, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3144, 177147, F3, 20) (dual of [177147, 177003, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(27) ⊂ Ce(19) [i] based on
- 1 times truncation [i] based on linear OA(3215, 177218, F3, 28) (dual of [177218, 177003, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3214, 177217, F3, 27) (dual of [177217, 177003, 28]-code), using
- OOA 2-folding [i] based on linear OA(3214, 177216, F3, 27) (dual of [177216, 177002, 28]-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(3214, 26770, F3, 35, 27) (dual of [(26770, 35), 936736, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |