Information on Result #689473
Linear OA(9116, 59089, F9, 24) (dual of [59089, 58973, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
- linear OA(9106, 59049, F9, 24) (dual of [59049, 58943, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(976, 59049, F9, 17) (dual of [59049, 58973, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(9117, 59090, F9, 24) (dual of [59090, 58973, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9116, 29544, F9, 2, 24) (dual of [(29544, 2), 58972, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(9116, 19696, F9, 3, 24) (dual of [(19696, 3), 58972, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(9116, 4924, F9, 24, 24) (dual of [(4924, 24), 118060, 25]-NRT-code) | [i] | OA Folding and Stacking | |