Information on Result #736898
Linear OA(3197, 59115, F3, 28) (dual of [59115, 58918, 29]-code), using construction X applied to Ce(27) ⊂ Ce(19) based on
- linear OA(3181, 59049, F3, 28) (dual of [59049, 58868, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3131, 59049, F3, 20) (dual of [59049, 58918, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(316, 66, F3, 7) (dual of [66, 50, 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(3196, 59114, F3, 27) (dual of [59114, 58918, 28]-code) | [i] | Truncation | |
| 2 | Linear OOA(3197, 29557, F3, 2, 28) (dual of [(29557, 2), 58917, 29]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(3197, 19705, F3, 3, 28) (dual of [(19705, 3), 58918, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3197, 14778, F3, 4, 28) (dual of [(14778, 4), 58915, 29]-NRT-code) | [i] | ||
| 5 | Linear OOA(3197, 11823, F3, 5, 28) (dual of [(11823, 5), 58918, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(3197, 4222, F3, 28, 28) (dual of [(4222, 28), 118019, 29]-NRT-code) | [i] | OA Folding and Stacking | |