Information on Result #615114
Linear OA(885, 513, F8, 33) (dual of [513, 428, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(884, 512, F8, 32) (dual of [512, 428, 33]-code) | [i] | Truncation | |
| 2 | Linear OA(8103, 534, F8, 33) (dual of [534, 431, 34]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8104, 537, F8, 33) (dual of [537, 433, 34]-code) | [i] | ||
| 4 | Linear OA(8105, 539, F8, 33) (dual of [539, 434, 34]-code) | [i] | ||
| 5 | Linear OA(886, 520, F8, 33) (dual of [520, 434, 34]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(887, 541, F8, 33) (dual of [541, 454, 34]-code) | [i] | ||
| 7 | Linear OA(888, 573, F8, 33) (dual of [573, 485, 34]-code) | [i] | ||
| 8 | Linear OA(8100, 529, F8, 33) (dual of [529, 429, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(892, 520, F8, 35) (dual of [520, 428, 36]-code) | [i] | ✔ | |
| 10 | Linear OA(888, 522, F8, 33) (dual of [522, 434, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(8100, 523, F8, 37) (dual of [523, 423, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(8101, 529, F8, 37) (dual of [529, 428, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(891, 527, F8, 33) (dual of [527, 436, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(892, 532, F8, 33) (dual of [532, 440, 34]-code) | [i] | ✔ | |
| 15 | Linear OA(890, 527, F8, 32) (dual of [527, 437, 33]-code) | [i] | ✔ | |
| 16 | Linear OA(888, 523, F8, 31) (dual of [523, 435, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(889, 529, F8, 31) (dual of [529, 440, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(8110, 538, F8, 39) (dual of [538, 428, 40]-code) | [i] | ✔ | |
| 19 | Linear OA(895, 537, F8, 33) (dual of [537, 442, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(896, 540, F8, 33) (dual of [540, 444, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(897, 542, F8, 33) (dual of [542, 445, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(898, 544, F8, 33) (dual of [544, 446, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(894, 537, F8, 32) (dual of [537, 443, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(896, 542, F8, 32) (dual of [542, 446, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(892, 538, F8, 31) (dual of [538, 446, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(8122, 550, F8, 41) (dual of [550, 428, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(8120, 548, F8, 40) (dual of [548, 428, 41]-code) | [i] | ✔ | |
| 28 | Linear OA(8100, 552, F8, 33) (dual of [552, 452, 34]-code) | [i] | ✔ | |
| 29 | Linear OA(896, 548, F8, 30) (dual of [548, 452, 31]-code) | [i] | ✔ | |
| 30 | Linear OA(8130, 558, F8, 43) (dual of [558, 428, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(8103, 561, F8, 33) (dual of [561, 458, 34]-code) | [i] | ✔ | |
| 32 | Linear OA(8101, 559, F8, 32) (dual of [559, 458, 33]-code) | [i] | ✔ | |
| 33 | Linear OA(8139, 567, F8, 45) (dual of [567, 428, 46]-code) | [i] | ✔ | |
| 34 | Linear OA(8137, 565, F8, 44) (dual of [565, 428, 45]-code) | [i] | ✔ | |
| 35 | Linear OA(8153, 577, F8, 49) (dual of [577, 424, 50]-code) | [i] | ✔ | |
| 36 | Linear OA(8151, 578, F8, 48) (dual of [578, 427, 49]-code) | [i] | ✔ | |
| 37 | Linear OA(8149, 577, F8, 47) (dual of [577, 428, 48]-code) | [i] | ✔ | |
| 38 | Linear OA(8147, 575, F8, 46) (dual of [575, 428, 47]-code) | [i] | ✔ | |
| 39 | Linear OA(8121, 547, F8, 41) (dual of [547, 426, 42]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 40 | Linear OA(8120, 545, F8, 41) (dual of [545, 425, 42]-code) | [i] | ✔ | |
| 41 | Linear OA(8119, 543, F8, 41) (dual of [543, 424, 42]-code) | [i] | ✔ | |
| 42 | Linear OA(8118, 541, F8, 41) (dual of [541, 423, 42]-code) | [i] | ✔ | |
| 43 | Linear OA(8109, 532, F8, 39) (dual of [532, 423, 40]-code) | [i] | ✔ | |
| 44 | Linear OA(8117, 549, F8, 39) (dual of [549, 432, 40]-code) | [i] | ✔ | |
| 45 | Linear OA(8116, 547, F8, 39) (dual of [547, 431, 40]-code) | [i] | ✔ | |
| 46 | Linear OA(8115, 545, F8, 39) (dual of [545, 430, 40]-code) | [i] | ✔ | |
| 47 | Linear OA(8114, 543, F8, 39) (dual of [543, 429, 40]-code) | [i] | ✔ | |
| 48 | Linear OA(8107, 538, F8, 37) (dual of [538, 431, 38]-code) | [i] | ✔ | |
| 49 | Linear OA(8106, 536, F8, 37) (dual of [536, 430, 38]-code) | [i] | ✔ | |
| 50 | Linear OA(8105, 534, F8, 37) (dual of [534, 429, 38]-code) | [i] | ✔ | |
| 51 | Linear OA(896, 525, F8, 35) (dual of [525, 429, 36]-code) | [i] | ✔ | |
| 52 | Linear OA(890, 525, F8, 33) (dual of [525, 435, 34]-code) | [i] | ✔ | |
| 53 | Linear OA(894, 535, F8, 33) (dual of [535, 441, 34]-code) | [i] | ✔ | |
| 54 | Linear OA(891, 532, F8, 31) (dual of [532, 441, 32]-code) | [i] | ✔ | |
| 55 | Linear OA(897, 547, F8, 31) (dual of [547, 450, 32]-code) | [i] | ✔ | |
| 56 | Linear OA(896, 545, F8, 31) (dual of [545, 449, 32]-code) | [i] | ✔ | |
| 57 | Linear OA(895, 543, F8, 31) (dual of [543, 448, 32]-code) | [i] | ✔ | |
| 58 | Linear OA(898, 545, F8, 32) (dual of [545, 447, 33]-code) | [i] | ✔ | |
| 59 | Linear OA(894, 541, F8, 31) (dual of [541, 447, 32]-code) | [i] | ✔ | |