Information on Result #736873
Linear OA(3215, 177218, F3, 28) (dual of [177218, 177003, 29]-code), using construction X applied to Ce(27) ⊂ Ce(19) 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
Mode: Constructive and 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 OA(3214, 177217, F3, 27) (dual of [177217, 177003, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(3215, 88609, F3, 2, 28) (dual of [(88609, 2), 177003, 29]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3215, 59072, F3, 3, 28) (dual of [(59072, 3), 177001, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3215, 44304, F3, 4, 28) (dual of [(44304, 4), 177001, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(3215, 35443, F3, 5, 28) (dual of [(35443, 5), 177000, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(3215, 12658, F3, 28, 28) (dual of [(12658, 28), 354209, 29]-NRT-code) | [i] | OA Folding and Stacking | |