Information on Result #736864
Linear OA(3221, 177202, F3, 29) (dual of [177202, 176981, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) 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(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(311, 55, F3, 5) (dual of [55, 44, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(311, 85, F3, 5) (dual of [85, 74, 6]-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(3223, 177204, F3, 29) (dual of [177204, 176981, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3224, 177205, F3, 29) (dual of [177205, 176981, 30]-code) | [i] | ||
| 3 | Linear OOA(3221, 88601, F3, 2, 29) (dual of [(88601, 2), 176981, 30]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3221, 59067, F3, 3, 29) (dual of [(59067, 3), 176980, 30]-NRT-code) | [i] | ||
| 5 | Linear OOA(3221, 44300, F3, 4, 29) (dual of [(44300, 4), 176979, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3221, 35440, F3, 5, 29) (dual of [(35440, 5), 176979, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(3221, 12657, F3, 29, 29) (dual of [(12657, 29), 366832, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |