Information on Result #619542
Linear OA(1289, 129, F128, 9) (dual of [129, 120, 10]-code or 129-arc in PG(8,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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 | OA(1616, 129, S16, 9) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3213, 129, S32, 9) | [i] | ||
| 3 | OA(6411, 129, S64, 9) | [i] | ||
| 4 | Linear OA(12846, 16514, F128, 19) (dual of [16514, 16468, 20]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12864, 2097282, F128, 19) (dual of [2097282, 2097218, 20]-code) | [i] | ||
| 6 | Linear OA(12844, 16513, F128, 18) (dual of [16513, 16469, 19]-code) | [i] | ||
| 7 | Linear OA(12861, 2097281, F128, 18) (dual of [2097281, 2097220, 19]-code) | [i] | ||
| 8 | Linear OA(12813, 258, F128, 9) (dual of [258, 245, 10]-code) | [i] | ||
| 9 | Linear OA(12846, 16515, F128, 19) (dual of [16515, 16469, 20]-code) | [i] | ||
| 10 | Linear OA(12864, 2097284, F128, 19) (dual of [2097284, 2097220, 20]-code) | [i] | ||
| 11 | Linear OA(12844, 16515, F128, 18) (dual of [16515, 16471, 19]-code) | [i] | ||
| 12 | Linear OA(12861, 2097284, F128, 18) (dual of [2097284, 2097223, 19]-code) | [i] | ||
| 13 | Linear OA(12830, 301, F128, 19) (dual of [301, 271, 20]-code) | [i] | ||
| 14 | Linear OA(12829, 301, F128, 18) (dual of [301, 272, 19]-code) | [i] | ||
| 15 | OA(12831, 386, S128, 19) | [i] | ||
| 16 | OA(12852, 65667, S128, 19) | [i] | ||
| 17 | OA(12830, 386, S128, 18) | [i] | ||
| 18 | OA(12849, 65667, S128, 18) | [i] | ||
| 19 | Linear OA(12823, 16512, F128, 9) (dual of [16512, 16489, 10]-code) | [i] | Generalized (u, u+v)-Construction | |
| 20 | Linear OA(12852, 387, F128, 29) (dual of [387, 335, 30]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 21 | Linear OA(12853, 408, F128, 29) (dual of [408, 355, 30]-code) | [i] | ||
| 22 | Linear OA(12854, 429, F128, 29) (dual of [429, 375, 30]-code) | [i] | ||
| 23 | Linear OA(12856, 471, F128, 29) (dual of [471, 415, 30]-code) | [i] | ||
| 24 | Linear OA(12852, 408, F128, 28) (dual of [408, 356, 29]-code) | [i] | ||
| 25 | Linear OA(12853, 429, F128, 28) (dual of [429, 376, 29]-code) | [i] | ||
| 26 | Linear OA(12878, 16642, F128, 28) (dual of [16642, 16564, 29]-code) | [i] | ||
| 27 | Linear OA(12849, 387, F128, 27) (dual of [387, 338, 28]-code) | [i] | ||
| 28 | Linear OA(12850, 408, F128, 27) (dual of [408, 358, 28]-code) | [i] | ||
| 29 | Linear OA(12851, 429, F128, 27) (dual of [429, 378, 28]-code) | [i] | ||
| 30 | Linear OA(12875, 16643, F128, 27) (dual of [16643, 16568, 28]-code) | [i] | ||
| 31 | Linear OA(12876, 16664, F128, 27) (dual of [16664, 16588, 28]-code) | [i] | ||
| 32 | Linear OA(12878, 16706, F128, 27) (dual of [16706, 16628, 28]-code) | [i] | ||
| 33 | Linear OA(12834, 387, F128, 19) (dual of [387, 353, 20]-code) | [i] | ||
| 34 | Linear OA(12835, 408, F128, 19) (dual of [408, 373, 20]-code) | [i] | ||
| 35 | Linear OA(12852, 16643, F128, 19) (dual of [16643, 16591, 20]-code) | [i] | ||
| 36 | Linear OA(12870, 2097411, F128, 19) (dual of [2097411, 2097341, 20]-code) | [i] | ||
| 37 | Linear OA(12833, 387, F128, 18) (dual of [387, 354, 19]-code) | [i] | ||
| 38 | Linear OA(12834, 408, F128, 18) (dual of [408, 374, 19]-code) | [i] | ||
| 39 | Linear OA(12850, 16642, F128, 18) (dual of [16642, 16592, 19]-code) | [i] | ||
| 40 | Linear OA(12867, 2097410, F128, 18) (dual of [2097410, 2097343, 19]-code) | [i] | ||
| 41 | Linear OA(12816, 387, F128, 9) (dual of [387, 371, 10]-code) | [i] | ||
| 42 | Linear OA(12812, 133, F128, 9) (dual of [133, 121, 10]-code) | [i] | ✔ | Construction X with Cyclic Codes |