Information on Result #615136
Linear OA(891, 513, F8, 35) (dual of [513, 422, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(8110, 535, F8, 35) (dual of [535, 425, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8111, 537, F8, 35) (dual of [537, 426, 36]-code) | [i] | ||
| 3 | Linear OA(8112, 540, F8, 35) (dual of [540, 428, 36]-code) | [i] | ||
| 4 | Linear OA(8107, 530, F8, 35) (dual of [530, 423, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(898, 520, F8, 37) (dual of [520, 422, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(892, 520, F8, 35) (dual of [520, 428, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(8106, 523, F8, 39) (dual of [523, 417, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(8107, 529, F8, 39) (dual of [529, 422, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(897, 527, F8, 35) (dual of [527, 430, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(898, 532, F8, 35) (dual of [532, 434, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(896, 527, F8, 34) (dual of [527, 431, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(8116, 538, F8, 41) (dual of [538, 422, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(8101, 537, F8, 35) (dual of [537, 436, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(8102, 540, F8, 35) (dual of [540, 438, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(8103, 542, F8, 35) (dual of [542, 439, 36]-code) | [i] | ✔ | |
| 16 | Linear OA(8104, 544, F8, 35) (dual of [544, 440, 36]-code) | [i] | ✔ | |
| 17 | Linear OA(8100, 537, F8, 34) (dual of [537, 437, 35]-code) | [i] | ✔ | |
| 18 | Linear OA(8102, 542, F8, 34) (dual of [542, 440, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(8128, 550, F8, 43) (dual of [550, 422, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(8126, 548, F8, 42) (dual of [548, 422, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(8106, 552, F8, 35) (dual of [552, 446, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(8136, 558, F8, 45) (dual of [558, 422, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(8109, 561, F8, 35) (dual of [561, 452, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(8107, 559, F8, 34) (dual of [559, 452, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(8149, 571, F8, 49) (dual of [571, 422, 50]-code) | [i] | ✔ | |
| 26 | Linear OA(8147, 569, F8, 48) (dual of [569, 422, 49]-code) | [i] | ✔ | |
| 27 | Linear OA(8145, 567, F8, 47) (dual of [567, 422, 48]-code) | [i] | ✔ | |
| 28 | Linear OA(8143, 565, F8, 46) (dual of [565, 422, 47]-code) | [i] | ✔ | |
| 29 | Linear OA(8113, 571, F8, 35) (dual of [571, 458, 36]-code) | [i] | ✔ | |
| 30 | Linear OA(8127, 547, F8, 43) (dual of [547, 420, 44]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 31 | Linear OA(8126, 545, F8, 43) (dual of [545, 419, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(8125, 543, F8, 43) (dual of [543, 418, 44]-code) | [i] | ✔ | |
| 33 | Linear OA(8124, 541, F8, 43) (dual of [541, 417, 44]-code) | [i] | ✔ | |
| 34 | Linear OA(8115, 532, F8, 41) (dual of [532, 417, 42]-code) | [i] | ✔ | |
| 35 | Linear OA(8121, 547, F8, 41) (dual of [547, 426, 42]-code) | [i] | ✔ | |
| 36 | Linear OA(8120, 545, F8, 41) (dual of [545, 425, 42]-code) | [i] | ✔ | |
| 37 | Linear OA(8119, 543, F8, 41) (dual of [543, 424, 42]-code) | [i] | ✔ | |
| 38 | Linear OA(8118, 541, F8, 41) (dual of [541, 423, 42]-code) | [i] | ✔ | |
| 39 | Linear OA(8109, 532, F8, 39) (dual of [532, 423, 40]-code) | [i] | ✔ | |
| 40 | Linear OA(896, 525, F8, 35) (dual of [525, 429, 36]-code) | [i] | ✔ | |
| 41 | Linear OA(8100, 535, F8, 35) (dual of [535, 435, 36]-code) | [i] | ✔ | |
| 42 | Linear OA(8104, 545, F8, 34) (dual of [545, 441, 35]-code) | [i] | ✔ | |