Information on Result #689478
Linear OA(991, 59089, F9, 19) (dual of [59089, 58998, 20]-code), using construction X applied to Ce(18) ⊂ Ce(11) based on
- 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(951, 59049, F9, 12) (dual of [59049, 58998, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(992, 59090, F9, 19) (dual of [59090, 58998, 20]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(990, 59088, F9, 18) (dual of [59088, 58998, 19]-code) | [i] | Truncation | |
| 3 | Linear OOA(991, 29544, F9, 2, 19) (dual of [(29544, 2), 58997, 20]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(991, 19696, F9, 3, 19) (dual of [(19696, 3), 58997, 20]-NRT-code) | [i] | ||