Information on Result #615345
Linear OA(8163, 512, F8, 62) (dual of [512, 349, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62
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(8166, 515, F8, 63) (dual of [515, 349, 64]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8163, 515, F8, 62) (dual of [515, 352, 63]-code) | [i] | ✔ | |
| 3 | Linear OA(8170, 519, F8, 64) (dual of [519, 349, 65]-code) | [i] | ✔ | |
| 4 | Linear OA(8173, 521, F8, 67) (dual of [521, 348, 68]-code) | [i] | ✔ | |
| 5 | Linear OA(8172, 521, F8, 66) (dual of [521, 349, 67]-code) | [i] | ✔ | |
| 6 | Linear OA(8164, 519, F8, 62) (dual of [519, 355, 63]-code) | [i] | ✔ | |
| 7 | Linear OA(8165, 521, F8, 62) (dual of [521, 356, 63]-code) | [i] | ✔ | |
| 8 | Linear OA(8166, 524, F8, 62) (dual of [524, 358, 63]-code) | [i] | ✔ | |
| 9 | Linear OA(8167, 528, F8, 62) (dual of [528, 361, 63]-code) | [i] | ✔ | |
| 10 | Linear OA(8169, 533, F8, 62) (dual of [533, 364, 63]-code) | [i] | ✔ | |
| 11 | Linear OA(8173, 538, F8, 62) (dual of [538, 365, 63]-code) | [i] | ✔ | |
| 12 | Linear OA(8173, 523, F8, 66) (dual of [523, 350, 67]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(8168, 530, F8, 62) (dual of [530, 362, 63]-code) | [i] | ✔ | |
| 14 | Linear OA(8173, 540, F8, 62) (dual of [540, 367, 63]-code) | [i] | ✔ | |
| 15 | Linear OA(8172, 538, F8, 62) (dual of [538, 366, 63]-code) | [i] | ✔ | |
| 16 | Linear OA(8171, 536, F8, 62) (dual of [536, 365, 63]-code) | [i] | ✔ | |