Information on Result #615323
Linear OA(8151, 512, F8, 58) (dual of [512, 361, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58
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(8154, 515, F8, 59) (dual of [515, 361, 60]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8151, 515, F8, 58) (dual of [515, 364, 59]-code) | [i] | ✔ | |
| 3 | Linear OA(8158, 519, F8, 60) (dual of [519, 361, 61]-code) | [i] | ✔ | |
| 4 | Linear OA(8153, 520, F8, 58) (dual of [520, 367, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(8162, 521, F8, 61) (dual of [521, 359, 62]-code) | [i] | ✔ | |
| 6 | Linear OA(8163, 524, F8, 61) (dual of [524, 361, 62]-code) | [i] | ✔ | |
| 7 | Linear OA(8154, 522, F8, 58) (dual of [522, 368, 59]-code) | [i] | ✔ | |
| 8 | Linear OA(8155, 525, F8, 58) (dual of [525, 370, 59]-code) | [i] | ✔ | |
| 9 | Linear OA(8167, 528, F8, 62) (dual of [528, 361, 63]-code) | [i] | ✔ | |
| 10 | Linear OA(8157, 530, F8, 58) (dual of [530, 373, 59]-code) | [i] | ✔ | |
| 11 | Linear OA(8172, 533, F8, 63) (dual of [533, 361, 64]-code) | [i] | ✔ | |
| 12 | Linear OA(8158, 534, F8, 58) (dual of [534, 376, 59]-code) | [i] | ✔ | |
| 13 | Linear OA(8161, 538, F8, 58) (dual of [538, 377, 59]-code) | [i] | ✔ | |
| 14 | Linear OA(8162, 541, F8, 58) (dual of [541, 379, 59]-code) | [i] | ✔ | |
| 15 | Linear OA(8164, 546, F8, 58) (dual of [546, 382, 59]-code) | [i] | ✔ | |
| 16 | Linear OA(8165, 550, F8, 58) (dual of [550, 385, 59]-code) | [i] | ✔ | |
| 17 | Linear OA(8167, 555, F8, 58) (dual of [555, 388, 59]-code) | [i] | ✔ | |
| 18 | Linear OA(8169, 560, F8, 58) (dual of [560, 391, 59]-code) | [i] | ✔ | |
| 19 | Linear OA(8171, 565, F8, 58) (dual of [565, 394, 59]-code) | [i] | ✔ | |
| 20 | Linear OA(8171, 530, F8, 63) (dual of [530, 359, 64]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(8168, 530, F8, 62) (dual of [530, 362, 63]-code) | [i] | ✔ | |
| 22 | Linear OA(8156, 527, F8, 58) (dual of [527, 371, 59]-code) | [i] | ✔ | |
| 23 | Linear OA(8161, 540, F8, 58) (dual of [540, 379, 59]-code) | [i] | ✔ | |
| 24 | Linear OA(8160, 538, F8, 58) (dual of [538, 378, 59]-code) | [i] | ✔ | |
| 25 | Linear OA(8159, 536, F8, 58) (dual of [536, 377, 59]-code) | [i] | ✔ | |
| 26 | Linear OA(8163, 543, F8, 58) (dual of [543, 380, 59]-code) | [i] | ✔ | |