Information on Result #615845
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
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(9141, 42722, F9, 2, 32) (dual of [(42722, 2), 85303, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9141, 42722, F9, 3, 32) (dual of [(42722, 3), 128025, 33]-NRT-code) | [i] | ||
| 3 | Digital (109, 141, 42722)-net over F9 | [i] | ||
| 4 | Linear OA(9146, 59054, F9, 33) (dual of [59054, 58908, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(9141, 59054, F9, 32) (dual of [59054, 58913, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(9142, 59060, F9, 32) (dual of [59060, 58918, 33]-code) | [i] | ✔ | |
| 7 | Linear OA(9144, 59067, F9, 32) (dual of [59067, 58923, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(9145, 59073, F9, 32) (dual of [59073, 58928, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(9148, 59081, F9, 32) (dual of [59081, 58933, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(9143, 59062, F9, 32) (dual of [59062, 58919, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(9147, 59076, F9, 32) (dual of [59076, 58929, 33]-code) | [i] | ✔ | |
| 12 | Linear OOA(9141, 3690, F9, 32, 32) (dual of [(3690, 32), 117939, 33]-NRT-code) | [i] | OA Folding and Stacking | |