Information on Result #619412
Linear OA(8163, 6561, F81, 32) (dual of [6561, 6498, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, 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 OA(9126, 13122, F9, 32) (dual of [13122, 12996, 33]-code) | [i] | Trace Code | |
| 2 | Linear OA(8179, 6643, F81, 32) (dual of [6643, 6564, 33]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8180, 6661, F81, 32) (dual of [6661, 6581, 33]-code) | [i] | ||
| 4 | Linear OA(8181, 6677, F81, 32) (dual of [6677, 6596, 33]-code) | [i] | ||
| 5 | Linear OA(8182, 6679, F81, 32) (dual of [6679, 6597, 33]-code) | [i] | ||
| 6 | Linear OA(8165, 6563, F81, 33) (dual of [6563, 6498, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(8163, 6563, F81, 32) (dual of [6563, 6500, 33]-code) | [i] | ✔ | |
| 8 | Linear OA(8168, 6566, F81, 34) (dual of [6566, 6498, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(8164, 6566, F81, 32) (dual of [6566, 6502, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(8171, 6569, F81, 35) (dual of [6569, 6498, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(8165, 6569, F81, 32) (dual of [6569, 6504, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(8174, 6572, F81, 36) (dual of [6572, 6498, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(8166, 6572, F81, 32) (dual of [6572, 6506, 33]-code) | [i] | ✔ | |
| 14 | Linear OA(8177, 6575, F81, 37) (dual of [6575, 6498, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(8167, 6575, F81, 32) (dual of [6575, 6508, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(8180, 6578, F81, 38) (dual of [6578, 6498, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(8168, 6578, F81, 32) (dual of [6578, 6510, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(8169, 6581, F81, 32) (dual of [6581, 6512, 33]-code) | [i] | ✔ | |
| 19 | Linear OA(8170, 6584, F81, 32) (dual of [6584, 6514, 33]-code) | [i] | ✔ | |
| 20 | Linear OA(8171, 6587, F81, 32) (dual of [6587, 6516, 33]-code) | [i] | ✔ | |
| 21 | Linear OA(8172, 6590, F81, 32) (dual of [6590, 6518, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(8173, 6593, F81, 32) (dual of [6593, 6520, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(8174, 6596, F81, 32) (dual of [6596, 6522, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(8175, 6599, F81, 32) (dual of [6599, 6524, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(8176, 6602, F81, 32) (dual of [6602, 6526, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(8177, 6605, F81, 32) (dual of [6605, 6528, 33]-code) | [i] | ✔ | |
| 27 | Linear OA(8178, 6608, F81, 32) (dual of [6608, 6530, 33]-code) | [i] | ✔ | |
| 28 | Linear OOA(8163, 2187, F81, 3, 32) (dual of [(2187, 3), 6498, 33]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(8163, 1640, F81, 4, 32) (dual of [(1640, 4), 6497, 33]-NRT-code) | [i] | ||
| 30 | Linear OOA(8163, 410, F81, 32, 32) (dual of [(410, 32), 13057, 33]-NRT-code) | [i] | OA Folding and Stacking | |