Information on Result #674683
Linear OA(3210, 177158, F3, 29) (dual of [177158, 176948, 30]-code), using construction X applied to Ce(28) ⊂ Ce(27) 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(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(30, 11, F3, 0) (dual of [11, 11, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(3211, 177159, F3, 29) (dual of [177159, 176948, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3212, 177160, F3, 29) (dual of [177160, 176948, 30]-code) | [i] | ||
| 3 | Linear OA(3213, 177161, F3, 29) (dual of [177161, 176948, 30]-code) | [i] | ||
| 4 | Linear OOA(3210, 88579, F3, 2, 29) (dual of [(88579, 2), 176948, 30]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3210, 59052, F3, 3, 29) (dual of [(59052, 3), 176946, 30]-NRT-code) | [i] | ||
| 6 | Linear OOA(3210, 44289, F3, 4, 29) (dual of [(44289, 4), 176946, 30]-NRT-code) | [i] | ||
| 7 | Linear OOA(3210, 35431, F3, 5, 29) (dual of [(35431, 5), 176945, 30]-NRT-code) | [i] | ||
| 8 | Linear OOA(3210, 12654, F3, 29, 29) (dual of [(12654, 29), 366756, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |