Information on Result #615094
Linear OA(8131, 32768, F8, 30) (dual of [32768, 32637, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30
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(8146, 32784, F8, 30) (dual of [32784, 32638, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8147, 32786, F8, 30) (dual of [32786, 32639, 31]-code) | [i] | ||
| 3 | Linear OA(8148, 32788, F8, 30) (dual of [32788, 32640, 31]-code) | [i] | ||
| 4 | Linear OA(8149, 32792, F8, 30) (dual of [32792, 32643, 31]-code) | [i] | ||
| 5 | Linear OA(8150, 32795, F8, 30) (dual of [32795, 32645, 31]-code) | [i] | ||
| 6 | Linear OA(8152, 32799, F8, 30) (dual of [32799, 32647, 31]-code) | [i] | ||
| 7 | Linear OA(8153, 32802, F8, 30) (dual of [32802, 32649, 31]-code) | [i] | ||
| 8 | Linear OA(8154, 32805, F8, 30) (dual of [32805, 32651, 31]-code) | [i] | ||
| 9 | Linear OA(8155, 32813, F8, 30) (dual of [32813, 32658, 31]-code) | [i] | ||
| 10 | Linear OA(8156, 32829, F8, 30) (dual of [32829, 32673, 31]-code) | [i] | ||
| 11 | Linear OA(8154, 32792, F8, 30) (dual of [32792, 32638, 31]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(8156, 32795, F8, 30) (dual of [32795, 32639, 31]-code) | [i] | ||
| 13 | Linear OOA(8131, 25150, F8, 2, 30) (dual of [(25150, 2), 50169, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 14 | Linear OOA(8131, 25150, F8, 3, 30) (dual of [(25150, 3), 75319, 31]-NRT-code) | [i] | ||
| 15 | Digital (101, 131, 25150)-net over F8 | [i] | ||
| 16 | Linear OA(8152, 32790, F8, 30) (dual of [32790, 32638, 31]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(8155, 32794, F8, 30) (dual of [32794, 32639, 31]-code) | [i] | ||
| 18 | Linear OA(8156, 32796, F8, 30) (dual of [32796, 32640, 31]-code) | [i] | ||
| 19 | Linear OA(8136, 32773, F8, 31) (dual of [32773, 32637, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(8131, 32773, F8, 30) (dual of [32773, 32642, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(8142, 32779, F8, 32) (dual of [32779, 32637, 33]-code) | [i] | ✔ | |
| 22 | Linear OA(8143, 32777, F8, 33) (dual of [32777, 32634, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(8144, 32781, F8, 33) (dual of [32781, 32637, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(8132, 32779, F8, 30) (dual of [32779, 32647, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(8150, 32787, F8, 34) (dual of [32787, 32637, 35]-code) | [i] | ✔ | |
| 26 | Linear OA(8134, 32786, F8, 30) (dual of [32786, 32652, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(8157, 32794, F8, 35) (dual of [32794, 32637, 36]-code) | [i] | ✔ | |
| 28 | Linear OA(8135, 32792, F8, 30) (dual of [32792, 32657, 31]-code) | [i] | ✔ | |
| 29 | Linear OA(8163, 32800, F8, 36) (dual of [32800, 32637, 37]-code) | [i] | ✔ | |
| 30 | Linear OA(8137, 32799, F8, 30) (dual of [32799, 32662, 31]-code) | [i] | ✔ | |
| 31 | Linear OA(8172, 32809, F8, 37) (dual of [32809, 32637, 38]-code) | [i] | ✔ | |
| 32 | Linear OA(8142, 32809, F8, 30) (dual of [32809, 32667, 31]-code) | [i] | ✔ | |
| 33 | Linear OA(8144, 32816, F8, 30) (dual of [32816, 32672, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(8145, 32822, F8, 30) (dual of [32822, 32677, 31]-code) | [i] | ✔ | |
| 35 | Linear OA(8146, 32828, F8, 30) (dual of [32828, 32682, 31]-code) | [i] | ✔ | |
| 36 | Linear OA(8147, 32833, F8, 30) (dual of [32833, 32686, 31]-code) | [i] | ✔ | |
| 37 | Linear OA(8151, 32838, F8, 30) (dual of [32838, 32687, 31]-code) | [i] | ✔ | |
| 38 | Linear OA(8153, 32845, F8, 30) (dual of [32845, 32692, 31]-code) | [i] | ✔ | |
| 39 | Linear OA(8155, 32852, F8, 30) (dual of [32852, 32697, 31]-code) | [i] | ✔ | |
| 40 | Linear OA(8171, 32807, F8, 37) (dual of [32807, 32636, 38]-code) | [i] | ✔ | |
| 41 | Linear OA(8141, 32807, F8, 30) (dual of [32807, 32666, 31]-code) | [i] | ✔ | |
| 42 | Linear OA(8149, 32836, F8, 30) (dual of [32836, 32687, 31]-code) | [i] | ✔ | |
| 43 | Linear OA(8152, 32841, F8, 30) (dual of [32841, 32689, 31]-code) | [i] | ✔ | |
| 44 | Linear OA(8156, 32789, F8, 35) (dual of [32789, 32633, 36]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 45 | Linear OA(8151, 32789, F8, 34) (dual of [32789, 32638, 35]-code) | [i] | ✔ | |
| 46 | Linear OA(8143, 32781, F8, 32) (dual of [32781, 32638, 33]-code) | [i] | ✔ | |
| 47 | Linear OA(8133, 32781, F8, 30) (dual of [32781, 32648, 31]-code) | [i] | ✔ | |
| 48 | Linear OA(8136, 32794, F8, 30) (dual of [32794, 32658, 31]-code) | [i] | ✔ | |
| 49 | Linear OOA(8131, 2184, F8, 30, 30) (dual of [(2184, 30), 65389, 31]-NRT-code) | [i] | OA Folding and Stacking | |