Information on Result #689527
Linear OA(9133, 59116, F9, 26) (dual of [59116, 58983, 27]-code), using construction X applied to Ce(25) ⊂ Ce(14) based on
- linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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 OOA(9133, 29558, F9, 2, 26) (dual of [(29558, 2), 58983, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9133, 19705, F9, 3, 26) (dual of [(19705, 3), 58982, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(9133, 4547, F9, 26, 26) (dual of [(4547, 26), 118089, 27]-NRT-code) | [i] | OA Folding and Stacking | |