Information on Result #736872
Linear OA(3225, 177217, F3, 29) (dual of [177217, 176992, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
- linear OA(3210, 177147, F3, 29) (dual of [177147, 176937, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(3155, 177147, F3, 22) (dual of [177147, 176992, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(315, 70, F3, 6) (dual of [70, 55, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(315, 85, F3, 6) (dual of [85, 70, 7]-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(3227, 177219, F3, 29) (dual of [177219, 176992, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3228, 177220, F3, 29) (dual of [177220, 176992, 30]-code) | [i] | ||
| 3 | Linear OOA(3225, 88608, F3, 2, 29) (dual of [(88608, 2), 176991, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3225, 59072, F3, 3, 29) (dual of [(59072, 3), 176991, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(3225, 44304, F3, 4, 29) (dual of [(44304, 4), 176991, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3225, 35443, F3, 5, 29) (dual of [(35443, 5), 176990, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(3225, 12658, F3, 29, 29) (dual of [(12658, 29), 366857, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |