Information on Result #615047
Linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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(8105, 32767, F8, 24) (dual of [32767, 32662, 25]-code) | [i] | Truncation | |
| 2 | Linear OA(8118, 32781, F8, 25) (dual of [32781, 32663, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8119, 32783, F8, 25) (dual of [32783, 32664, 26]-code) | [i] | ||
| 4 | Linear OA(8120, 32785, F8, 25) (dual of [32785, 32665, 26]-code) | [i] | ||
| 5 | Linear OA(8121, 32792, F8, 25) (dual of [32792, 32671, 26]-code) | [i] | ||
| 6 | Linear OA(8122, 32794, F8, 25) (dual of [32794, 32672, 26]-code) | [i] | ||
| 7 | Linear OA(8123, 32796, F8, 25) (dual of [32796, 32673, 26]-code) | [i] | ||
| 8 | Linear OA(8124, 32798, F8, 25) (dual of [32798, 32674, 26]-code) | [i] | ||
| 9 | Linear OA(8125, 32802, F8, 25) (dual of [32802, 32677, 26]-code) | [i] | ||
| 10 | Linear OA(8126, 32833, F8, 25) (dual of [32833, 32707, 26]-code) | [i] | ||
| 11 | Linear OA(8126, 32835, F8, 25) (dual of [32835, 32709, 26]-code) | [i] | ||
| 12 | Linear OA(8126, 32789, F8, 25) (dual of [32789, 32663, 26]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OOA(8106, 17858, F8, 2, 25) (dual of [(17858, 2), 35610, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 14 | Linear OOA(8106, 17858, F8, 3, 25) (dual of [(17858, 3), 53468, 26]-NRT-code) | [i] | ||
| 15 | Digital (81, 106, 17858)-net over F8 | [i] | ||
| 16 | Linear OA(8123, 32786, F8, 25) (dual of [32786, 32663, 26]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(8126, 32790, F8, 25) (dual of [32790, 32664, 26]-code) | [i] | ||
| 18 | Linear OA(8111, 32773, F8, 26) (dual of [32773, 32662, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 19 | Linear OA(8107, 32774, F8, 25) (dual of [32774, 32667, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(8117, 32779, F8, 27) (dual of [32779, 32662, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(8107, 32779, F8, 24) (dual of [32779, 32672, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(8108, 32777, F8, 25) (dual of [32777, 32669, 26]-code) | [i] | ✔ | |
| 23 | Linear OA(8109, 32781, F8, 25) (dual of [32781, 32672, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(8124, 32786, F8, 28) (dual of [32786, 32662, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(8110, 32787, F8, 25) (dual of [32787, 32677, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(8130, 32792, F8, 29) (dual of [32792, 32662, 30]-code) | [i] | ✔ | |
| 27 | Linear OA(8112, 32794, F8, 25) (dual of [32794, 32682, 26]-code) | [i] | ✔ | |
| 28 | Linear OA(8110, 32792, F8, 24) (dual of [32792, 32682, 25]-code) | [i] | ✔ | |
| 29 | Linear OA(8137, 32799, F8, 30) (dual of [32799, 32662, 31]-code) | [i] | ✔ | |
| 30 | Linear OA(8113, 32800, F8, 25) (dual of [32800, 32687, 26]-code) | [i] | ✔ | |
| 31 | Linear OA(8143, 32805, F8, 31) (dual of [32805, 32662, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(8117, 32809, F8, 25) (dual of [32809, 32692, 26]-code) | [i] | ✔ | |
| 33 | Linear OA(8113, 32805, F8, 24) (dual of [32805, 32692, 25]-code) | [i] | ✔ | |
| 34 | Linear OA(8154, 32816, F8, 33) (dual of [32816, 32662, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(8152, 32814, F8, 32) (dual of [32814, 32662, 33]-code) | [i] | ✔ | |
| 36 | Linear OA(8119, 32816, F8, 25) (dual of [32816, 32697, 26]-code) | [i] | ✔ | |
| 37 | Linear OA(8117, 32814, F8, 24) (dual of [32814, 32697, 25]-code) | [i] | ✔ | |
| 38 | Linear OA(8160, 32822, F8, 34) (dual of [32822, 32662, 35]-code) | [i] | ✔ | |
| 39 | Linear OA(8121, 32823, F8, 25) (dual of [32823, 32702, 26]-code) | [i] | ✔ | |
| 40 | Linear OA(8166, 32828, F8, 35) (dual of [32828, 32662, 36]-code) | [i] | ✔ | |
| 41 | Linear OA(8122, 32829, F8, 25) (dual of [32829, 32707, 26]-code) | [i] | ✔ | |
| 42 | Linear OA(8172, 32833, F8, 36) (dual of [32833, 32661, 37]-code) | [i] | ✔ | |
| 43 | Linear OA(8124, 32832, F8, 25) (dual of [32832, 32708, 26]-code) | [i] | ✔ | |
| 44 | Linear OA(8122, 32833, F8, 24) (dual of [32833, 32711, 25]-code) | [i] | ✔ | |
| 45 | Linear OA(8116, 32807, F8, 25) (dual of [32807, 32691, 26]-code) | [i] | ✔ | |
| 46 | Linear OA(8124, 32834, F8, 25) (dual of [32834, 32710, 26]-code) | [i] | ✔ | |
| 47 | Linear OA(8125, 32836, F8, 25) (dual of [32836, 32711, 26]-code) | [i] | ✔ | |
| 48 | Linear OA(8126, 32838, F8, 25) (dual of [32838, 32712, 26]-code) | [i] | ✔ | |
| 49 | Linear OA(8124, 32836, F8, 24) (dual of [32836, 32712, 25]-code) | [i] | ✔ | |
| 50 | Linear OA(8116, 32808, F8, 25) (dual of [32808, 32692, 26]-code) | [i] | ✔ | |
| 51 | Linear OA(8136, 32794, F8, 30) (dual of [32794, 32658, 31]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 52 | Linear OA(8132, 32795, F8, 29) (dual of [32795, 32663, 30]-code) | [i] | ✔ | |
| 53 | Linear OA(8123, 32781, F8, 28) (dual of [32781, 32658, 29]-code) | [i] | ✔ | |
| 54 | Linear OA(8126, 32789, F8, 28) (dual of [32789, 32663, 29]-code) | [i] | ✔ | |
| 55 | Linear OA(8119, 32782, F8, 27) (dual of [32782, 32663, 28]-code) | [i] | ✔ | |
| 56 | Linear OA(8108, 32781, F8, 24) (dual of [32781, 32673, 25]-code) | [i] | ✔ | |
| 57 | Linear OA(8111, 32789, F8, 25) (dual of [32789, 32678, 26]-code) | [i] | ✔ | |
| 58 | Linear OA(8111, 32794, F8, 24) (dual of [32794, 32683, 25]-code) | [i] | ✔ | |
| 59 | Linear OOA(8106, 16384, F8, 2, 25) (dual of [(16384, 2), 32662, 26]-NRT-code) | [i] | OOA Folding | |
| 60 | Linear OOA(8106, 10922, F8, 3, 25) (dual of [(10922, 3), 32660, 26]-NRT-code) | [i] | ||
| 61 | Linear OOA(8106, 2730, F8, 25, 25) (dual of [(2730, 25), 68144, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |