Information on Result #615305
Linear OA(8142, 512, F8, 54) (dual of [512, 370, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54
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(8145, 515, F8, 55) (dual of [515, 370, 56]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8142, 515, F8, 54) (dual of [515, 373, 55]-code) | [i] | ✔ | |
| 3 | Linear OA(8150, 520, F8, 57) (dual of [520, 370, 58]-code) | [i] | ✔ | |
| 4 | Linear OA(8143, 519, F8, 54) (dual of [519, 376, 55]-code) | [i] | ✔ | |
| 5 | Linear OA(8154, 522, F8, 58) (dual of [522, 368, 59]-code) | [i] | ✔ | |
| 6 | Linear OA(8155, 525, F8, 58) (dual of [525, 370, 59]-code) | [i] | ✔ | |
| 7 | Linear OA(8144, 521, F8, 54) (dual of [521, 377, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(8145, 524, F8, 54) (dual of [524, 379, 55]-code) | [i] | ✔ | |
| 9 | Linear OA(8160, 530, F8, 59) (dual of [530, 370, 60]-code) | [i] | ✔ | |
| 10 | Linear OA(8146, 528, F8, 54) (dual of [528, 382, 55]-code) | [i] | ✔ | |
| 11 | Linear OA(8164, 534, F8, 60) (dual of [534, 370, 61]-code) | [i] | ✔ | |
| 12 | Linear OA(8148, 533, F8, 54) (dual of [533, 385, 55]-code) | [i] | ✔ | |
| 13 | Linear OA(8171, 541, F8, 61) (dual of [541, 370, 62]-code) | [i] | ✔ | |
| 14 | Linear OA(8153, 541, F8, 54) (dual of [541, 388, 55]-code) | [i] | ✔ | |
| 15 | Linear OA(8155, 546, F8, 54) (dual of [546, 391, 55]-code) | [i] | ✔ | |
| 16 | Linear OA(8156, 550, F8, 54) (dual of [550, 394, 55]-code) | [i] | ✔ | |
| 17 | Linear OA(8157, 554, F8, 54) (dual of [554, 397, 55]-code) | [i] | ✔ | |
| 18 | Linear OA(8158, 558, F8, 54) (dual of [558, 400, 55]-code) | [i] | ✔ | |
| 19 | Linear OA(8160, 563, F8, 54) (dual of [563, 403, 55]-code) | [i] | ✔ | |
| 20 | Linear OA(8162, 568, F8, 54) (dual of [568, 406, 55]-code) | [i] | ✔ | |
| 21 | Linear OA(8170, 540, F8, 61) (dual of [540, 370, 62]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(8169, 538, F8, 61) (dual of [538, 369, 62]-code) | [i] | ✔ | |
| 23 | Linear OA(8168, 536, F8, 61) (dual of [536, 368, 62]-code) | [i] | ✔ | |
| 24 | Linear OA(8167, 540, F8, 60) (dual of [540, 373, 61]-code) | [i] | ✔ | |
| 25 | Linear OA(8166, 538, F8, 60) (dual of [538, 372, 61]-code) | [i] | ✔ | |
| 26 | Linear OA(8165, 536, F8, 60) (dual of [536, 371, 61]-code) | [i] | ✔ | |
| 27 | Linear OA(8169, 543, F8, 60) (dual of [543, 374, 61]-code) | [i] | ✔ | |
| 28 | Linear OA(8159, 527, F8, 59) (dual of [527, 368, 60]-code) | [i] | ✔ | |
| 29 | Linear OA(8156, 527, F8, 58) (dual of [527, 371, 59]-code) | [i] | ✔ | |
| 30 | Linear OA(8147, 530, F8, 54) (dual of [530, 383, 55]-code) | [i] | ✔ | |
| 31 | Linear OA(8152, 540, F8, 54) (dual of [540, 388, 55]-code) | [i] | ✔ | |
| 32 | Linear OA(8151, 538, F8, 54) (dual of [538, 387, 55]-code) | [i] | ✔ | |
| 33 | Linear OA(8150, 536, F8, 54) (dual of [536, 386, 55]-code) | [i] | ✔ | |
| 34 | Linear OA(8154, 543, F8, 54) (dual of [543, 389, 55]-code) | [i] | ✔ | |