Information on Result #689477
Linear OA(996, 59089, F9, 20) (dual of [59089, 58993, 21]-code), using construction X applied to Ce(19) ⊂ Ce(12) based on
- linear OA(986, 59049, F9, 20) (dual of [59049, 58963, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(956, 59049, F9, 13) (dual of [59049, 58993, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(910, 40, F9, 6) (dual of [40, 30, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
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(997, 59090, F9, 20) (dual of [59090, 58993, 21]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(996, 29544, F9, 2, 20) (dual of [(29544, 2), 58992, 21]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(996, 19696, F9, 3, 20) (dual of [(19696, 3), 58992, 21]-NRT-code) | [i] | ||