Information on Result #615249
Linear OA(8124, 512, F8, 47) (dual of [512, 388, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47
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(8147, 536, F8, 47) (dual of [536, 389, 48]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8149, 540, F8, 47) (dual of [540, 391, 48]-code) | [i] | ||
| 3 | Linear OA(8128, 516, F8, 49) (dual of [516, 388, 50]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(8124, 515, F8, 47) (dual of [515, 391, 48]-code) | [i] | ✔ | |
| 5 | Linear OA(8132, 520, F8, 50) (dual of [520, 388, 51]-code) | [i] | ✔ | |
| 6 | Linear OA(8125, 519, F8, 47) (dual of [519, 394, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(8137, 525, F8, 51) (dual of [525, 388, 52]-code) | [i] | ✔ | |
| 8 | Linear OA(8126, 521, F8, 47) (dual of [521, 395, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(8127, 524, F8, 47) (dual of [524, 397, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(8142, 530, F8, 52) (dual of [530, 388, 53]-code) | [i] | ✔ | |
| 11 | Linear OA(8128, 528, F8, 47) (dual of [528, 400, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(8146, 534, F8, 53) (dual of [534, 388, 54]-code) | [i] | ✔ | |
| 13 | Linear OA(8130, 533, F8, 47) (dual of [533, 403, 48]-code) | [i] | ✔ | |
| 14 | Linear OA(8153, 541, F8, 54) (dual of [541, 388, 55]-code) | [i] | ✔ | |
| 15 | Linear OA(8131, 537, F8, 47) (dual of [537, 406, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(8137, 546, F8, 47) (dual of [546, 409, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(8163, 551, F8, 57) (dual of [551, 388, 58]-code) | [i] | ✔ | |
| 18 | Linear OA(8138, 550, F8, 47) (dual of [550, 412, 48]-code) | [i] | ✔ | |
| 19 | Linear OA(8167, 555, F8, 58) (dual of [555, 388, 59]-code) | [i] | ✔ | |
| 20 | Linear OA(8139, 554, F8, 47) (dual of [554, 415, 48]-code) | [i] | ✔ | |
| 21 | Linear OA(8172, 560, F8, 59) (dual of [560, 388, 60]-code) | [i] | ✔ | |
| 22 | Linear OA(8140, 558, F8, 47) (dual of [558, 418, 48]-code) | [i] | ✔ | |
| 23 | Linear OA(8142, 563, F8, 47) (dual of [563, 421, 48]-code) | [i] | ✔ | |
| 24 | Linear OA(8144, 568, F8, 47) (dual of [568, 424, 48]-code) | [i] | ✔ | |
| 25 | Linear OA(8146, 573, F8, 47) (dual of [573, 427, 48]-code) | [i] | ✔ | |
| 26 | Linear OA(8161, 547, F8, 56) (dual of [547, 386, 57]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(8156, 544, F8, 55) (dual of [544, 388, 56]-code) | [i] | ✔ | |
| 28 | Linear OA(8155, 542, F8, 55) (dual of [542, 387, 56]-code) | [i] | ✔ | |
| 29 | Linear OA(8152, 540, F8, 54) (dual of [540, 388, 55]-code) | [i] | ✔ | |
| 30 | Linear OA(8151, 538, F8, 54) (dual of [538, 387, 55]-code) | [i] | ✔ | |
| 31 | Linear OA(8150, 536, F8, 54) (dual of [536, 386, 55]-code) | [i] | ✔ | |
| 32 | Linear OA(8149, 540, F8, 53) (dual of [540, 391, 54]-code) | [i] | ✔ | |
| 33 | Linear OA(8148, 538, F8, 53) (dual of [538, 390, 54]-code) | [i] | ✔ | |
| 34 | Linear OA(8147, 536, F8, 53) (dual of [536, 389, 54]-code) | [i] | ✔ | |
| 35 | Linear OA(8151, 543, F8, 53) (dual of [543, 392, 54]-code) | [i] | ✔ | |
| 36 | Linear OA(8141, 527, F8, 52) (dual of [527, 386, 53]-code) | [i] | ✔ | |
| 37 | Linear OA(8138, 527, F8, 51) (dual of [527, 389, 52]-code) | [i] | ✔ | |
| 38 | Linear OA(8129, 530, F8, 47) (dual of [530, 401, 48]-code) | [i] | ✔ | |
| 39 | Linear OA(8135, 544, F8, 47) (dual of [544, 409, 48]-code) | [i] | ✔ | |
| 40 | Linear OA(8134, 542, F8, 47) (dual of [542, 408, 48]-code) | [i] | ✔ | |
| 41 | Linear OA(8133, 540, F8, 47) (dual of [540, 407, 48]-code) | [i] | ✔ | |
| 42 | Linear OA(8137, 547, F8, 47) (dual of [547, 410, 48]-code) | [i] | ✔ | |