Information on Result #615260
Linear OA(8127, 513, F8, 49) (dual of [513, 386, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8126, 512, F8, 48) (dual of [512, 386, 49]-code) | [i] | Truncation | |
| 2 | Linear OA(8150, 537, F8, 49) (dual of [537, 387, 50]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(8134, 520, F8, 51) (dual of [520, 386, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(8130, 522, F8, 49) (dual of [522, 392, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(8142, 523, F8, 53) (dual of [523, 381, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(8143, 529, F8, 53) (dual of [529, 386, 54]-code) | [i] | ✔ | |
| 7 | Linear OA(8133, 527, F8, 49) (dual of [527, 394, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(8134, 532, F8, 49) (dual of [532, 398, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(8132, 527, F8, 48) (dual of [527, 395, 49]-code) | [i] | ✔ | |
| 10 | Linear OA(8130, 523, F8, 47) (dual of [523, 393, 48]-code) | [i] | ✔ | |
| 11 | Linear OA(8131, 529, F8, 47) (dual of [529, 398, 48]-code) | [i] | ✔ | |
| 12 | Linear OA(8152, 538, F8, 55) (dual of [538, 386, 56]-code) | [i] | ✔ | |
| 13 | Linear OA(8137, 537, F8, 49) (dual of [537, 400, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(8138, 540, F8, 49) (dual of [540, 402, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(8139, 542, F8, 49) (dual of [542, 403, 50]-code) | [i] | ✔ | |
| 16 | Linear OA(8140, 544, F8, 49) (dual of [544, 404, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(8136, 537, F8, 48) (dual of [537, 401, 49]-code) | [i] | ✔ | |
| 18 | Linear OA(8138, 542, F8, 48) (dual of [542, 404, 49]-code) | [i] | ✔ | |
| 19 | Linear OA(8134, 538, F8, 47) (dual of [538, 404, 48]-code) | [i] | ✔ | |
| 20 | Linear OA(8164, 550, F8, 57) (dual of [550, 386, 58]-code) | [i] | ✔ | |
| 21 | Linear OA(8162, 548, F8, 56) (dual of [548, 386, 57]-code) | [i] | ✔ | |
| 22 | Linear OA(8142, 552, F8, 49) (dual of [552, 410, 50]-code) | [i] | ✔ | |
| 23 | Linear OA(8138, 548, F8, 46) (dual of [548, 410, 47]-code) | [i] | ✔ | |
| 24 | Linear OA(8172, 558, F8, 59) (dual of [558, 386, 60]-code) | [i] | ✔ | |
| 25 | Linear OA(8145, 561, F8, 49) (dual of [561, 416, 50]-code) | [i] | ✔ | |
| 26 | Linear OA(8143, 559, F8, 48) (dual of [559, 416, 49]-code) | [i] | ✔ | |
| 27 | Linear OA(8149, 571, F8, 49) (dual of [571, 422, 50]-code) | [i] | ✔ | |
| 28 | Linear OA(8147, 569, F8, 48) (dual of [569, 422, 49]-code) | [i] | ✔ | |
| 29 | Linear OA(8145, 567, F8, 47) (dual of [567, 422, 48]-code) | [i] | ✔ | |
| 30 | Linear OA(8143, 565, F8, 46) (dual of [565, 422, 47]-code) | [i] | ✔ | |
| 31 | Linear OA(8153, 577, F8, 49) (dual of [577, 424, 50]-code) | [i] | ✔ | |
| 32 | Linear OA(8151, 578, F8, 48) (dual of [578, 427, 49]-code) | [i] | ✔ | |
| 33 | Linear OA(8149, 577, F8, 47) (dual of [577, 428, 48]-code) | [i] | ✔ | |
| 34 | Linear OA(8147, 575, F8, 46) (dual of [575, 428, 47]-code) | [i] | ✔ | |
| 35 | Linear OA(8163, 547, F8, 57) (dual of [547, 384, 58]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 36 | Linear OA(8162, 545, F8, 57) (dual of [545, 383, 58]-code) | [i] | ✔ | |
| 37 | Linear OA(8161, 543, F8, 57) (dual of [543, 382, 58]-code) | [i] | ✔ | |
| 38 | Linear OA(8160, 541, F8, 57) (dual of [541, 381, 58]-code) | [i] | ✔ | |
| 39 | Linear OA(8151, 532, F8, 55) (dual of [532, 381, 56]-code) | [i] | ✔ | |
| 40 | Linear OA(8159, 549, F8, 55) (dual of [549, 390, 56]-code) | [i] | ✔ | |
| 41 | Linear OA(8158, 547, F8, 55) (dual of [547, 389, 56]-code) | [i] | ✔ | |
| 42 | Linear OA(8157, 545, F8, 55) (dual of [545, 388, 56]-code) | [i] | ✔ | |
| 43 | Linear OA(8156, 543, F8, 55) (dual of [543, 387, 56]-code) | [i] | ✔ | |
| 44 | Linear OA(8149, 538, F8, 53) (dual of [538, 389, 54]-code) | [i] | ✔ | |
| 45 | Linear OA(8148, 536, F8, 53) (dual of [536, 388, 54]-code) | [i] | ✔ | |
| 46 | Linear OA(8147, 534, F8, 53) (dual of [534, 387, 54]-code) | [i] | ✔ | |
| 47 | Linear OA(8138, 525, F8, 51) (dual of [525, 387, 52]-code) | [i] | ✔ | |
| 48 | Linear OA(8132, 525, F8, 49) (dual of [525, 393, 50]-code) | [i] | ✔ | |
| 49 | Linear OA(8136, 535, F8, 49) (dual of [535, 399, 50]-code) | [i] | ✔ | |
| 50 | Linear OA(8133, 532, F8, 47) (dual of [532, 399, 48]-code) | [i] | ✔ | |
| 51 | Linear OA(8139, 547, F8, 47) (dual of [547, 408, 48]-code) | [i] | ✔ | |
| 52 | Linear OA(8138, 545, F8, 47) (dual of [545, 407, 48]-code) | [i] | ✔ | |
| 53 | Linear OA(8137, 543, F8, 47) (dual of [543, 406, 48]-code) | [i] | ✔ | |
| 54 | Linear OA(8140, 545, F8, 48) (dual of [545, 405, 49]-code) | [i] | ✔ | |
| 55 | Linear OA(8136, 541, F8, 47) (dual of [541, 405, 48]-code) | [i] | ✔ | |