Information on Result #615019
Linear OA(8101, 32769, F8, 23) (dual of [32769, 32668, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 810−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(8113, 32783, F8, 23) (dual of [32783, 32670, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8114, 32786, F8, 23) (dual of [32786, 32672, 24]-code) | [i] | ||
| 3 | Linear OA(8115, 32793, F8, 23) (dual of [32793, 32678, 24]-code) | [i] | ||
| 4 | Linear OA(8116, 32796, F8, 23) (dual of [32796, 32680, 24]-code) | [i] | ||
| 5 | Linear OA(8118, 32800, F8, 23) (dual of [32800, 32682, 24]-code) | [i] | ||
| 6 | Linear OA(8119, 32833, F8, 23) (dual of [32833, 32714, 24]-code) | [i] | ||
| 7 | Linear OA(8120, 32790, F8, 23) (dual of [32790, 32670, 24]-code) | [i] | Generalized (u, u+v)-Construction | |
| 8 | Linear OA(8117, 32787, F8, 23) (dual of [32787, 32670, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(8118, 32789, F8, 23) (dual of [32789, 32671, 24]-code) | [i] | ||
| 10 | Linear OA(8119, 32791, F8, 23) (dual of [32791, 32672, 24]-code) | [i] | ||
| 11 | Linear OA(8120, 32793, F8, 23) (dual of [32793, 32673, 24]-code) | [i] | ||
| 12 | Linear OA(8111, 32780, F8, 23) (dual of [32780, 32669, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(8112, 32780, F8, 25) (dual of [32780, 32668, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(8102, 32780, F8, 23) (dual of [32780, 32678, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(8125, 32793, F8, 27) (dual of [32793, 32668, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(8105, 32793, F8, 23) (dual of [32793, 32688, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(8138, 32806, F8, 29) (dual of [32806, 32668, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(8108, 32806, F8, 23) (dual of [32806, 32698, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(8156, 32824, F8, 33) (dual of [32824, 32668, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(8152, 32820, F8, 30) (dual of [32820, 32668, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(8116, 32824, F8, 23) (dual of [32824, 32708, 24]-code) | [i] | ✔ | |
| 22 | Linear OA(8169, 32833, F8, 35) (dual of [32833, 32664, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(8173, 32841, F8, 35) (dual of [32841, 32668, 36]-code) | [i] | ✔ | |
| 24 | Linear OA(8167, 32834, F8, 34) (dual of [32834, 32667, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(8171, 32839, F8, 34) (dual of [32839, 32668, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(8169, 32835, F8, 35) (dual of [32835, 32666, 36]-code) | [i] | ✔ | |
| 27 | Linear OA(8170, 32837, F8, 35) (dual of [32837, 32667, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(8171, 32839, F8, 35) (dual of [32839, 32668, 36]-code) | [i] | ✔ | |
| 29 | Linear OA(8102, 32791, F8, 21) (dual of [32791, 32689, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |