Information on Result #689452
Linear OA(9133, 59081, F9, 29) (dual of [59081, 58948, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
- linear OA(9126, 59049, F9, 29) (dual of [59049, 58923, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(9101, 59049, F9, 23) (dual of [59049, 58948, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(9134, 59082, F9, 29) (dual of [59082, 58948, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(9135, 59083, F9, 29) (dual of [59083, 58948, 30]-code) | [i] | ||
| 3 | Linear OOA(9133, 59081, F9, 2, 29) (dual of [(59081, 2), 118029, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(9133, 59081, F9, 3, 29) (dual of [(59081, 3), 177110, 30]-NRT-code) | [i] | ||
| 5 | Digital (104, 133, 59081)-net over F9 | [i] | ||
| 6 | Linear OA(9134, 59083, F9, 29) (dual of [59083, 58949, 30]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(9135, 59085, F9, 29) (dual of [59085, 58950, 30]-code) | [i] | ||
| 8 | Linear OOA(9133, 29540, F9, 2, 29) (dual of [(29540, 2), 58947, 30]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(9133, 19693, F9, 3, 29) (dual of [(19693, 3), 58946, 30]-NRT-code) | [i] | ||
| 10 | Linear OOA(9133, 4220, F9, 29, 29) (dual of [(4220, 29), 122247, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |