Information on Result #736871
Linear OA(3237, 177218, F3, 31) (dual of [177218, 176981, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) 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
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(3239, 177220, F3, 31) (dual of [177220, 176981, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3240, 177221, F3, 31) (dual of [177221, 176981, 32]-code) | [i] | ||
| 3 | Linear OA(3236, 177217, F3, 30) (dual of [177217, 176981, 31]-code) | [i] | Truncation | |
| 4 | Linear OOA(3237, 88609, F3, 2, 31) (dual of [(88609, 2), 176981, 32]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3237, 59072, F3, 3, 31) (dual of [(59072, 3), 176979, 32]-NRT-code) | [i] | ||
| 6 | Linear OOA(3237, 44304, F3, 4, 31) (dual of [(44304, 4), 176979, 32]-NRT-code) | [i] | ||
| 7 | Linear OOA(3237, 35443, F3, 5, 31) (dual of [(35443, 5), 176978, 32]-NRT-code) | [i] | ||
| 8 | Linear OOA(3237, 11814, F3, 31, 31) (dual of [(11814, 31), 365997, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |