Information on Result #687629
Linear OA(8115, 513, F8, 43) (dual of [513, 398, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (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(8122, 520, F8, 45) (dual of [520, 398, 46]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(8116, 520, F8, 43) (dual of [520, 404, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(8133, 527, F8, 49) (dual of [527, 394, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(8134, 532, F8, 49) (dual of [532, 398, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(8132, 527, F8, 48) (dual of [527, 395, 49]-code) | [i] | ✔ | |
| 6 | Linear OA(8130, 523, F8, 47) (dual of [523, 393, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(8131, 529, F8, 47) (dual of [529, 398, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(8118, 523, F8, 43) (dual of [523, 405, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(8119, 529, F8, 43) (dual of [529, 410, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(8143, 537, F8, 51) (dual of [537, 394, 52]-code) | [i] | ✔ | |
| 11 | Linear OA(8144, 540, F8, 51) (dual of [540, 396, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(8145, 542, F8, 51) (dual of [542, 397, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(8146, 544, F8, 51) (dual of [544, 398, 52]-code) | [i] | ✔ | |
| 14 | Linear OA(8142, 537, F8, 50) (dual of [537, 395, 51]-code) | [i] | ✔ | |
| 15 | Linear OA(8144, 542, F8, 50) (dual of [542, 398, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(8122, 538, F8, 43) (dual of [538, 416, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(8154, 552, F8, 53) (dual of [552, 398, 54]-code) | [i] | ✔ | |
| 18 | Linear OA(8128, 550, F8, 43) (dual of [550, 422, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(8126, 548, F8, 42) (dual of [548, 422, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(8163, 561, F8, 55) (dual of [561, 398, 56]-code) | [i] | ✔ | |
| 21 | Linear OA(8161, 559, F8, 54) (dual of [559, 398, 55]-code) | [i] | ✔ | |
| 22 | Linear OA(8130, 558, F8, 43) (dual of [558, 428, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(8137, 571, F8, 43) (dual of [571, 434, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(8135, 569, F8, 42) (dual of [569, 434, 43]-code) | [i] | ✔ | |
| 25 | Linear OA(8152, 545, F8, 52) (dual of [545, 393, 53]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 26 | Linear OA(8142, 535, F8, 51) (dual of [535, 393, 52]-code) | [i] | ✔ | |
| 27 | Linear OA(8146, 545, F8, 50) (dual of [545, 399, 51]-code) | [i] | ✔ | |
| 28 | Linear OA(8132, 525, F8, 49) (dual of [525, 393, 50]-code) | [i] | ✔ | |
| 29 | Linear OA(8136, 535, F8, 49) (dual of [535, 399, 50]-code) | [i] | ✔ | |
| 30 | Linear OA(8133, 532, F8, 47) (dual of [532, 399, 48]-code) | [i] | ✔ | |
| 31 | Linear OA(8121, 532, F8, 43) (dual of [532, 411, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(8127, 547, F8, 43) (dual of [547, 420, 44]-code) | [i] | ✔ | |
| 33 | Linear OA(8126, 545, F8, 43) (dual of [545, 419, 44]-code) | [i] | ✔ | |
| 34 | Linear OA(8125, 543, F8, 43) (dual of [543, 418, 44]-code) | [i] | ✔ | |
| 35 | Linear OA(8124, 541, F8, 43) (dual of [541, 417, 44]-code) | [i] | ✔ | |