Information on Result #689449
Linear OA(9148, 59081, F9, 32) (dual of [59081, 58933, 33]-code), using construction X applied to Ce(31) ⊂ Ce(25) based on
- linear OA(9141, 59049, F9, 32) (dual of [59049, 58908, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(9116, 59049, F9, 26) (dual of [59049, 58933, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(9149, 59082, F9, 32) (dual of [59082, 58933, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9150, 59083, F9, 32) (dual of [59083, 58933, 33]-code) | [i] | ||
| 3 | Linear OOA(9148, 59081, F9, 2, 32) (dual of [(59081, 2), 118014, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(9148, 59081, F9, 3, 32) (dual of [(59081, 3), 177095, 33]-NRT-code) | [i] | ||
| 5 | Digital (116, 148, 59081)-net over F9 | [i] | ||
| 6 | Linear OOA(9148, 29540, F9, 2, 32) (dual of [(29540, 2), 58932, 33]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(9148, 19693, F9, 3, 32) (dual of [(19693, 3), 58931, 33]-NRT-code) | [i] | ||