Information on Result #689376
Linear OA(989, 59062, F9, 20) (dual of [59062, 58973, 21]-code), using construction X applied to Ce(19) ⊂ Ce(16) 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(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(93, 13, F9, 2) (dual of [13, 10, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(93, 80, F9, 2) (dual of [80, 77, 3]-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(989, 43664, F9, 2, 20) (dual of [(43664, 2), 87239, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(989, 43664, F9, 3, 20) (dual of [(43664, 3), 130903, 21]-NRT-code) | [i] | ||
| 3 | Digital (69, 89, 43664)-net over F9 | [i] | ||
| 4 | Linear OOA(989, 29531, F9, 2, 20) (dual of [(29531, 2), 58973, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(989, 19687, F9, 3, 20) (dual of [(19687, 3), 58972, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(989, 5906, F9, 20, 20) (dual of [(5906, 20), 118031, 21]-NRT-code) | [i] | OA Folding and Stacking | |