Information on Result #615100
Linear OA(8136, 32768, F8, 31) (dual of [32768, 32632, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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(8151, 32784, F8, 31) (dual of [32784, 32633, 32]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8152, 32786, F8, 31) (dual of [32786, 32634, 32]-code) | [i] | ||
| 3 | Linear OA(8153, 32788, F8, 31) (dual of [32788, 32635, 32]-code) | [i] | ||
| 4 | Linear OA(8154, 32792, F8, 31) (dual of [32792, 32638, 32]-code) | [i] | ||
| 5 | Linear OA(8155, 32795, F8, 31) (dual of [32795, 32640, 32]-code) | [i] | ||
| 6 | Linear OA(8157, 32799, F8, 31) (dual of [32799, 32642, 32]-code) | [i] | ||
| 7 | Linear OA(8158, 32802, F8, 31) (dual of [32802, 32644, 32]-code) | [i] | ||
| 8 | Linear OA(8159, 32805, F8, 31) (dual of [32805, 32646, 32]-code) | [i] | ||
| 9 | Linear OA(8160, 32813, F8, 31) (dual of [32813, 32653, 32]-code) | [i] | ||
| 10 | Linear OA(8161, 32829, F8, 31) (dual of [32829, 32668, 32]-code) | [i] | ||
| 11 | Linear OA(8162, 32832, F8, 31) (dual of [32832, 32670, 32]-code) | [i] | ||
| 12 | Linear OA(8159, 32792, F8, 31) (dual of [32792, 32633, 32]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(8161, 32795, F8, 31) (dual of [32795, 32634, 32]-code) | [i] | ||
| 14 | Linear OOA(8136, 26655, F8, 2, 31) (dual of [(26655, 2), 53174, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 15 | Linear OOA(8136, 26655, F8, 3, 31) (dual of [(26655, 3), 79829, 32]-NRT-code) | [i] | ||
| 16 | Digital (105, 136, 26655)-net over F8 | [i] | ||
| 17 | Linear OA(8157, 32790, F8, 31) (dual of [32790, 32633, 32]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(8160, 32794, F8, 31) (dual of [32794, 32634, 32]-code) | [i] | ||
| 19 | Linear OA(8161, 32796, F8, 31) (dual of [32796, 32635, 32]-code) | [i] | ||
| 20 | Linear OA(8162, 32798, F8, 31) (dual of [32798, 32636, 32]-code) | [i] | ||
| 21 | Linear OA(8142, 32774, F8, 33) (dual of [32774, 32632, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(8136, 32773, F8, 31) (dual of [32773, 32637, 32]-code) | [i] | ✔ | |
| 23 | Linear OA(8148, 32777, F8, 34) (dual of [32777, 32629, 35]-code) | [i] | ✔ | |
| 24 | Linear OA(8149, 32781, F8, 34) (dual of [32781, 32632, 35]-code) | [i] | ✔ | |
| 25 | Linear OA(8137, 32779, F8, 31) (dual of [32779, 32642, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(8155, 32787, F8, 35) (dual of [32787, 32632, 36]-code) | [i] | ✔ | |
| 27 | Linear OA(8139, 32786, F8, 31) (dual of [32786, 32647, 32]-code) | [i] | ✔ | |
| 28 | Linear OA(8162, 32794, F8, 36) (dual of [32794, 32632, 37]-code) | [i] | ✔ | |
| 29 | Linear OA(8140, 32792, F8, 31) (dual of [32792, 32652, 32]-code) | [i] | ✔ | |
| 30 | Linear OA(8168, 32800, F8, 37) (dual of [32800, 32632, 38]-code) | [i] | ✔ | |
| 31 | Linear OA(8142, 32799, F8, 31) (dual of [32799, 32657, 32]-code) | [i] | ✔ | |
| 32 | Linear OA(8143, 32805, F8, 31) (dual of [32805, 32662, 32]-code) | [i] | ✔ | |
| 33 | Linear OA(8149, 32816, F8, 31) (dual of [32816, 32667, 32]-code) | [i] | ✔ | |
| 34 | Linear OA(8150, 32822, F8, 31) (dual of [32822, 32672, 32]-code) | [i] | ✔ | |
| 35 | Linear OA(8151, 32828, F8, 31) (dual of [32828, 32677, 32]-code) | [i] | ✔ | |
| 36 | Linear OA(8152, 32833, F8, 31) (dual of [32833, 32681, 32]-code) | [i] | ✔ | |
| 37 | Linear OA(8156, 32838, F8, 31) (dual of [32838, 32682, 32]-code) | [i] | ✔ | |
| 38 | Linear OA(8158, 32845, F8, 31) (dual of [32845, 32687, 32]-code) | [i] | ✔ | |
| 39 | Linear OA(8160, 32852, F8, 31) (dual of [32852, 32692, 32]-code) | [i] | ✔ | |
| 40 | Linear OA(8162, 32859, F8, 31) (dual of [32859, 32697, 32]-code) | [i] | ✔ | |
| 41 | Linear OA(8154, 32836, F8, 31) (dual of [32836, 32682, 32]-code) | [i] | ✔ | |
| 42 | Linear OA(8157, 32841, F8, 31) (dual of [32841, 32684, 32]-code) | [i] | ✔ | |
| 43 | Linear OA(8161, 32789, F8, 36) (dual of [32789, 32628, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 44 | Linear OA(8156, 32789, F8, 35) (dual of [32789, 32633, 36]-code) | [i] | ✔ | |
| 45 | Linear OA(8138, 32781, F8, 31) (dual of [32781, 32643, 32]-code) | [i] | ✔ | |
| 46 | Linear OA(8141, 32794, F8, 31) (dual of [32794, 32653, 32]-code) | [i] | ✔ | |
| 47 | Linear OOA(8136, 2184, F8, 31, 31) (dual of [(2184, 31), 67568, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |