Information on Result #619557
Linear OA(12811, 129, F128, 11) (dual of [129, 118, 12]-code or 129-arc in PG(10,128)), using the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(1620, 129, S16, 11) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3216, 129, S32, 11) | [i] | ||
| 3 | OA(6413, 129, S64, 11) | [i] | ||
| 4 | Linear OA(12837, 321, F128, 23) (dual of [321, 284, 24]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(12856, 16514, F128, 23) (dual of [16514, 16458, 24]-code) | [i] | ||
| 6 | Linear OA(12878, 2097282, F128, 23) (dual of [2097282, 2097204, 24]-code) | [i] | ||
| 7 | Linear OA(12854, 16513, F128, 22) (dual of [16513, 16459, 23]-code) | [i] | ||
| 8 | Linear OA(12875, 2097281, F128, 22) (dual of [2097281, 2097206, 23]-code) | [i] | ||
| 9 | Linear OA(12816, 258, F128, 11) (dual of [258, 242, 12]-code) | [i] | ||
| 10 | Linear OA(12856, 16515, F128, 23) (dual of [16515, 16459, 24]-code) | [i] | ||
| 11 | Linear OA(12878, 2097284, F128, 23) (dual of [2097284, 2097206, 24]-code) | [i] | ||
| 12 | Linear OA(12854, 16515, F128, 22) (dual of [16515, 16461, 23]-code) | [i] | ||
| 13 | Linear OA(12875, 2097284, F128, 22) (dual of [2097284, 2097209, 23]-code) | [i] | ||
| 14 | OA(12838, 386, S128, 23) | [i] | ||
| 15 | OA(12863, 65667, S128, 23) | [i] | ||
| 16 | OA(12861, 65667, S128, 22) | [i] | ||
| 17 | Linear OA(12829, 16512, F128, 11) (dual of [16512, 16483, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 18 | Linear OA(12864, 408, F128, 35) (dual of [408, 344, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 19 | Linear OA(12865, 429, F128, 35) (dual of [429, 364, 36]-code) | [i] | ||
| 20 | Linear OA(12863, 408, F128, 34) (dual of [408, 345, 35]-code) | [i] | ||
| 21 | Linear OA(12861, 408, F128, 33) (dual of [408, 347, 34]-code) | [i] | ||
| 22 | Linear OA(12862, 429, F128, 33) (dual of [429, 367, 34]-code) | [i] | ||
| 23 | Linear OA(12841, 387, F128, 23) (dual of [387, 346, 24]-code) | [i] | ||
| 24 | Linear OA(12842, 408, F128, 23) (dual of [408, 366, 24]-code) | [i] | ||
| 25 | Linear OA(12863, 16643, F128, 23) (dual of [16643, 16580, 24]-code) | [i] | ||
| 26 | Linear OA(12840, 387, F128, 22) (dual of [387, 347, 23]-code) | [i] | ||
| 27 | Linear OA(12841, 408, F128, 22) (dual of [408, 367, 23]-code) | [i] | ||
| 28 | Linear OA(12861, 16642, F128, 22) (dual of [16642, 16581, 23]-code) | [i] | ||
| 29 | Linear OA(12819, 387, F128, 11) (dual of [387, 368, 12]-code) | [i] | ||
| 30 | Linear OA(12815, 134, F128, 11) (dual of [134, 119, 12]-code) | [i] | ✔ | Construction X with Cyclic Codes |