Information on Result #689451
Linear OA(9138, 59081, F9, 30) (dual of [59081, 58943, 31]-code), using construction X applied to Ce(29) ⊂ Ce(23) based on
- linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(97, 32, F9, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(97, 73, F9, 5) (dual of [73, 66, 6]-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 OA(9139, 59082, F9, 30) (dual of [59082, 58943, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9140, 59083, F9, 30) (dual of [59083, 58943, 31]-code) | [i] | ||
| 3 | Linear OOA(9138, 59081, F9, 2, 30) (dual of [(59081, 2), 118024, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(9138, 59081, F9, 3, 30) (dual of [(59081, 3), 177105, 31]-NRT-code) | [i] | ||
| 5 | Digital (108, 138, 59081)-net over F9 | [i] | ||
| 6 | Linear OA(9139, 59083, F9, 30) (dual of [59083, 58944, 31]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(9140, 59085, F9, 30) (dual of [59085, 58945, 31]-code) | [i] | ||
| 8 | Linear OOA(9138, 29540, F9, 2, 30) (dual of [(29540, 2), 58942, 31]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(9138, 19693, F9, 3, 30) (dual of [(19693, 3), 58941, 31]-NRT-code) | [i] | ||