Information on Result #689531
Linear OA(9113, 59116, F9, 22) (dual of [59116, 59003, 23]-code), using construction X applied to Ce(21) ⊂ Ce(10) based on
- linear OA(996, 59049, F9, 22) (dual of [59049, 58953, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(946, 59049, F9, 11) (dual of [59049, 59003, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(9113, 29558, F9, 2, 22) (dual of [(29558, 2), 59003, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(9113, 19705, F9, 3, 22) (dual of [(19705, 3), 59002, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(9113, 5374, F9, 22, 22) (dual of [(5374, 22), 118115, 23]-NRT-code) | [i] | OA Folding and Stacking | |