Information on Result #619299
Linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(962, 13122, F9, 16) (dual of [13122, 13060, 17]-code) | [i] | Trace Code | |
| 2 | Linear OA(8139, 6643, F81, 16) (dual of [6643, 6604, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8140, 6661, F81, 16) (dual of [6661, 6621, 17]-code) | [i] | ||
| 4 | Linear OA(8141, 6677, F81, 16) (dual of [6677, 6636, 17]-code) | [i] | ||
| 5 | Linear OA(8142, 6679, F81, 16) (dual of [6679, 6637, 17]-code) | [i] | ||
| 6 | Linear OA(8143, 6724, F81, 16) (dual of [6724, 6681, 17]-code) | [i] | ||
| 7 | Linear OA(8143, 6725, F81, 16) (dual of [6725, 6682, 17]-code) | [i] | ||
| 8 | Linear OA(8144, 6743, F81, 16) (dual of [6743, 6699, 17]-code) | [i] | ||
| 9 | Linear OA(8142, 6573, F81, 16) (dual of [6573, 6531, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(8143, 6575, F81, 16) (dual of [6575, 6532, 17]-code) | [i] | ||
| 11 | Linear OA(8144, 6725, F81, 16) (dual of [6725, 6681, 17]-code) | [i] | ||
| 12 | Linear OA(8133, 6563, F81, 17) (dual of [6563, 6530, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(8131, 6563, F81, 16) (dual of [6563, 6532, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(8136, 6566, F81, 18) (dual of [6566, 6530, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(8132, 6566, F81, 16) (dual of [6566, 6534, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(8139, 6569, F81, 19) (dual of [6569, 6530, 20]-code) | [i] | ✔ | |
| 17 | Linear OA(8133, 6569, F81, 16) (dual of [6569, 6536, 17]-code) | [i] | ✔ | |
| 18 | Linear OA(8142, 6572, F81, 20) (dual of [6572, 6530, 21]-code) | [i] | ✔ | |
| 19 | Linear OA(8134, 6572, F81, 16) (dual of [6572, 6538, 17]-code) | [i] | ✔ | |
| 20 | Linear OA(8145, 6575, F81, 21) (dual of [6575, 6530, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(8135, 6575, F81, 16) (dual of [6575, 6540, 17]-code) | [i] | ✔ | |
| 22 | Linear OA(8148, 6578, F81, 22) (dual of [6578, 6530, 23]-code) | [i] | ✔ | |
| 23 | Linear OA(8136, 6578, F81, 16) (dual of [6578, 6542, 17]-code) | [i] | ✔ | |
| 24 | Linear OA(8151, 6581, F81, 23) (dual of [6581, 6530, 24]-code) | [i] | ✔ | |
| 25 | Linear OA(8137, 6581, F81, 16) (dual of [6581, 6544, 17]-code) | [i] | ✔ | |
| 26 | Linear OA(8154, 6584, F81, 24) (dual of [6584, 6530, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(8138, 6584, F81, 16) (dual of [6584, 6546, 17]-code) | [i] | ✔ | |
| 28 | Linear OA(8157, 6587, F81, 25) (dual of [6587, 6530, 26]-code) | [i] | ✔ | |
| 29 | Linear OA(8160, 6590, F81, 26) (dual of [6590, 6530, 27]-code) | [i] | ✔ | |
| 30 | Linear OA(8163, 6593, F81, 27) (dual of [6593, 6530, 28]-code) | [i] | ✔ | |
| 31 | Linear OA(8166, 6596, F81, 28) (dual of [6596, 6530, 29]-code) | [i] | ✔ | |
| 32 | Linear OA(8169, 6599, F81, 29) (dual of [6599, 6530, 30]-code) | [i] | ✔ | |
| 33 | Linear OA(8172, 6602, F81, 30) (dual of [6602, 6530, 31]-code) | [i] | ✔ | |
| 34 | Linear OA(8175, 6605, F81, 31) (dual of [6605, 6530, 32]-code) | [i] | ✔ | |
| 35 | Linear OA(8178, 6608, F81, 32) (dual of [6608, 6530, 33]-code) | [i] | ✔ | |
| 36 | Linear OOA(8131, 2187, F81, 3, 16) (dual of [(2187, 3), 6530, 17]-NRT-code) | [i] | OOA Folding | |
| 37 | Linear OOA(8131, 1640, F81, 4, 16) (dual of [(1640, 4), 6529, 17]-NRT-code) | [i] | ||
| 38 | Linear OOA(8131, 820, F81, 16, 16) (dual of [(820, 16), 13089, 17]-NRT-code) | [i] | OA Folding and Stacking | |