Information on Result #690121
Linear OA(9109, 729, F9, 41) (dual of [729, 620, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(9112, 732, F9, 42) (dual of [732, 620, 43]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(9109, 732, F9, 41) (dual of [732, 623, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(9111, 739, F9, 41) (dual of [739, 628, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(9112, 741, F9, 41) (dual of [741, 629, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(9126, 745, F9, 46) (dual of [745, 619, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(9127, 747, F9, 46) (dual of [747, 620, 47]-code) | [i] | ✔ | |
| 7 | Linear OA(9131, 751, F9, 47) (dual of [751, 620, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(9116, 751, F9, 41) (dual of [751, 635, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(9118, 756, F9, 41) (dual of [756, 638, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(9121, 762, F9, 41) (dual of [762, 641, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(9123, 767, F9, 41) (dual of [767, 644, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(9125, 772, F9, 41) (dual of [772, 647, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(9126, 776, F9, 41) (dual of [776, 650, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(9127, 780, F9, 41) (dual of [780, 653, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(9129, 785, F9, 41) (dual of [785, 656, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(9133, 792, F9, 41) (dual of [792, 659, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(9137, 758, F9, 48) (dual of [758, 621, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(9132, 753, F9, 47) (dual of [753, 621, 48]-code) | [i] | ✔ | |
| 19 | Linear OA(9117, 753, F9, 41) (dual of [753, 636, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(9122, 764, F9, 41) (dual of [764, 642, 42]-code) | [i] | ✔ | |