Information on Result #615330
Linear OA(8157, 512, F8, 60) (dual of [512, 355, 61]-code), using an extension Ce(59) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,59], and designed minimum distance d ≥ |I|+1 = 60
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(8160, 515, F8, 61) (dual of [515, 355, 62]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8157, 515, F8, 60) (dual of [515, 358, 61]-code) | [i] | ✔ | |
| 3 | Linear OA(8164, 519, F8, 62) (dual of [519, 355, 63]-code) | [i] | ✔ | |
| 4 | Linear OA(8158, 519, F8, 60) (dual of [519, 361, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(8168, 521, F8, 63) (dual of [521, 353, 64]-code) | [i] | ✔ | |
| 6 | Linear OA(8169, 524, F8, 63) (dual of [524, 355, 64]-code) | [i] | ✔ | |
| 7 | Linear OA(8159, 521, F8, 60) (dual of [521, 362, 61]-code) | [i] | ✔ | |
| 8 | Linear OA(8160, 524, F8, 60) (dual of [524, 364, 61]-code) | [i] | ✔ | |
| 9 | Linear OA(8173, 528, F8, 64) (dual of [528, 355, 65]-code) | [i] | ✔ | |
| 10 | Linear OA(8163, 530, F8, 60) (dual of [530, 367, 61]-code) | [i] | ✔ | |
| 11 | Linear OA(8164, 534, F8, 60) (dual of [534, 370, 61]-code) | [i] | ✔ | |
| 12 | Linear OA(8167, 538, F8, 60) (dual of [538, 371, 61]-code) | [i] | ✔ | |
| 13 | Linear OA(8168, 541, F8, 60) (dual of [541, 373, 61]-code) | [i] | ✔ | |
| 14 | Linear OA(8170, 546, F8, 60) (dual of [546, 376, 61]-code) | [i] | ✔ | |
| 15 | Linear OA(8171, 550, F8, 60) (dual of [550, 379, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(8172, 554, F8, 60) (dual of [554, 382, 61]-code) | [i] | ✔ | |
| 17 | Linear OA(8173, 558, F8, 60) (dual of [558, 385, 61]-code) | [i] | ✔ | |
| 18 | Linear OA(8162, 527, F8, 60) (dual of [527, 365, 61]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(8167, 540, F8, 60) (dual of [540, 373, 61]-code) | [i] | ✔ | |
| 20 | Linear OA(8166, 538, F8, 60) (dual of [538, 372, 61]-code) | [i] | ✔ | |
| 21 | Linear OA(8165, 536, F8, 60) (dual of [536, 371, 61]-code) | [i] | ✔ | |
| 22 | Linear OA(8169, 543, F8, 60) (dual of [543, 374, 61]-code) | [i] | ✔ | |