Information on Result #689524
Linear OA(9148, 59116, F9, 30) (dual of [59116, 58968, 31]-code), using construction X applied to Ce(29) ⊂ Ce(18) based on
- linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(917, 67, F9, 10) (dual of [67, 50, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(917, 80, F9, 10) (dual of [80, 63, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(917, 80, F9, 10) (dual of [80, 63, 11]-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(9149, 59117, F9, 30) (dual of [59117, 58968, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9150, 59118, F9, 30) (dual of [59118, 58968, 31]-code) | [i] | ||
| 3 | Linear OOA(9148, 29558, F9, 2, 30) (dual of [(29558, 2), 58968, 31]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(9148, 19705, F9, 3, 30) (dual of [(19705, 3), 58967, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(9148, 3941, F9, 30, 30) (dual of [(3941, 30), 118082, 31]-NRT-code) | [i] | OA Folding and Stacking | |