Information on Result #615351
Linear OA(8166, 512, F8, 63) (dual of [512, 346, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63
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(8170, 516, F8, 65) (dual of [516, 346, 66]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8173, 519, F8, 68) (dual of [519, 346, 69]-code) | [i] | ✔ | |
| 3 | Linear OA(8166, 515, F8, 63) (dual of [515, 349, 64]-code) | [i] | ✔ | |
| 4 | Linear OA(8167, 519, F8, 63) (dual of [519, 352, 64]-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(8170, 528, F8, 63) (dual of [528, 358, 64]-code) | [i] | ✔ | |
| 8 | Linear OA(8172, 533, F8, 63) (dual of [533, 361, 64]-code) | [i] | ✔ | |
| 9 | Linear OA(8173, 537, F8, 63) (dual of [537, 364, 64]-code) | [i] | ✔ | |
| 10 | Linear OA(8171, 530, F8, 63) (dual of [530, 359, 64]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |