Information on Result #687637
Linear OA(879, 513, F8, 29) (dual of [513, 434, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(888, 522, F8, 33) (dual of [522, 434, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(880, 520, F8, 29) (dual of [520, 440, 30]-code) | [i] | ✔ | |
| 3 | Linear OA(897, 527, F8, 35) (dual of [527, 430, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(898, 532, F8, 35) (dual of [532, 434, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(896, 527, F8, 34) (dual of [527, 431, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(882, 523, F8, 29) (dual of [523, 441, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(883, 529, F8, 29) (dual of [529, 446, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(8107, 537, F8, 37) (dual of [537, 430, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(8108, 540, F8, 37) (dual of [540, 432, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(8109, 542, F8, 37) (dual of [542, 433, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(8110, 544, F8, 37) (dual of [544, 434, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(8106, 537, F8, 36) (dual of [537, 431, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(8108, 542, F8, 36) (dual of [542, 434, 37]-code) | [i] | ✔ | |
| 14 | Linear OA(886, 538, F8, 29) (dual of [538, 452, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(8118, 552, F8, 39) (dual of [552, 434, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(892, 550, F8, 29) (dual of [550, 458, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(890, 548, F8, 28) (dual of [548, 458, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(8127, 561, F8, 41) (dual of [561, 434, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(8125, 559, F8, 40) (dual of [559, 434, 41]-code) | [i] | ✔ | |
| 20 | Linear OA(8137, 571, F8, 43) (dual of [571, 434, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(8135, 569, F8, 42) (dual of [569, 434, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(8117, 549, F8, 39) (dual of [549, 432, 40]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 23 | Linear OA(8116, 547, F8, 39) (dual of [547, 431, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(8115, 545, F8, 39) (dual of [545, 430, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(8114, 543, F8, 39) (dual of [543, 429, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(8107, 538, F8, 37) (dual of [538, 431, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(8106, 536, F8, 37) (dual of [536, 430, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(8105, 534, F8, 37) (dual of [534, 429, 38]-code) | [i] | ✔ | |
| 29 | Linear OA(8110, 545, F8, 36) (dual of [545, 435, 37]-code) | [i] | ✔ | |
| 30 | Linear OA(896, 525, F8, 35) (dual of [525, 429, 36]-code) | [i] | ✔ | |
| 31 | Linear OA(8100, 535, F8, 35) (dual of [535, 435, 36]-code) | [i] | ✔ | |
| 32 | Linear OA(890, 525, F8, 33) (dual of [525, 435, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(885, 532, F8, 29) (dual of [532, 447, 30]-code) | [i] | ✔ | |
| 34 | Linear OA(891, 547, F8, 29) (dual of [547, 456, 30]-code) | [i] | ✔ | |
| 35 | Linear OA(890, 545, F8, 29) (dual of [545, 455, 30]-code) | [i] | ✔ | |
| 36 | Linear OA(889, 543, F8, 29) (dual of [543, 454, 30]-code) | [i] | ✔ | |
| 37 | Linear OA(888, 541, F8, 29) (dual of [541, 453, 30]-code) | [i] | ✔ | |