Information on Result #614988
Linear OA(891, 32769, F8, 21) (dual of [32769, 32678, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(8102, 32783, F8, 21) (dual of [32783, 32681, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8103, 32786, F8, 21) (dual of [32786, 32683, 22]-code) | [i] | ||
| 3 | Linear OA(8104, 32793, F8, 21) (dual of [32793, 32689, 22]-code) | [i] | ||
| 4 | Linear OA(8105, 32795, F8, 21) (dual of [32795, 32690, 22]-code) | [i] | ||
| 5 | Linear OA(8106, 32797, F8, 21) (dual of [32797, 32691, 22]-code) | [i] | ||
| 6 | Linear OA(8107, 32834, F8, 21) (dual of [32834, 32727, 22]-code) | [i] | ||
| 7 | Linear OA(8107, 32787, F8, 21) (dual of [32787, 32680, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(8108, 32790, F8, 21) (dual of [32790, 32682, 22]-code) | [i] | ||
| 9 | Linear OA(8101, 32780, F8, 21) (dual of [32780, 32679, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(8102, 32780, F8, 23) (dual of [32780, 32678, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(892, 32780, F8, 21) (dual of [32780, 32688, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(8115, 32793, F8, 25) (dual of [32793, 32678, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(895, 32793, F8, 21) (dual of [32793, 32698, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(8128, 32806, F8, 27) (dual of [32806, 32678, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(8104, 32812, F8, 21) (dual of [32812, 32708, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(8144, 32822, F8, 29) (dual of [32822, 32678, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(8142, 32820, F8, 28) (dual of [32820, 32678, 29]-code) | [i] | ✔ | |
| 18 | Linear OA(8106, 32824, F8, 21) (dual of [32824, 32718, 22]-code) | [i] | ✔ | |
| 19 | Linear OA(8159, 32833, F8, 33) (dual of [32833, 32674, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(8163, 32841, F8, 33) (dual of [32841, 32678, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(8157, 32834, F8, 32) (dual of [32834, 32677, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(8161, 32839, F8, 32) (dual of [32839, 32678, 33]-code) | [i] | ✔ | |
| 23 | Linear OA(8159, 32837, F8, 31) (dual of [32837, 32678, 32]-code) | [i] | ✔ | |
| 24 | Linear OA(8156, 32834, F8, 30) (dual of [32834, 32678, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(8159, 32835, F8, 33) (dual of [32835, 32676, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(8160, 32837, F8, 33) (dual of [32837, 32677, 34]-code) | [i] | ✔ | |
| 27 | Linear OA(8161, 32839, F8, 33) (dual of [32839, 32678, 34]-code) | [i] | ✔ | |
| 28 | Linear OA(8159, 32837, F8, 32) (dual of [32837, 32678, 33]-code) | [i] | ✔ | |
| 29 | Linear OA(8103, 32806, F8, 21) (dual of [32806, 32703, 22]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 30 | Linear OA(8102, 32804, F8, 21) (dual of [32804, 32702, 22]-code) | [i] | ✔ | |
| 31 | Linear OA(8101, 32802, F8, 21) (dual of [32802, 32701, 22]-code) | [i] | ✔ | |
| 32 | Linear OA(892, 32791, F8, 19) (dual of [32791, 32699, 20]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |