Information on Result #689437
Linear OA(992, 59075, F9, 20) (dual of [59075, 58983, 21]-code), using construction X applied to Ce(19) ⊂ Ce(14) 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(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(96, 26, F9, 4) (dual of [26, 20, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-code), using
- 1 times truncation [i] based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(96, 72, F9, 4) (dual of [72, 66, 5]-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(992, 59075, F9, 2, 20) (dual of [(59075, 2), 118058, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(992, 59075, F9, 3, 20) (dual of [(59075, 3), 177133, 21]-NRT-code) | [i] | ||
| 3 | Digital (72, 92, 59075)-net over F9 | [i] | ||
| 4 | Linear OOA(992, 29537, F9, 2, 20) (dual of [(29537, 2), 58982, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(992, 19691, F9, 3, 20) (dual of [(19691, 3), 58981, 21]-NRT-code) | [i] | ||