Information on Result #619239
Linear OA(8115, 6561, F81, 8) (dual of [6561, 6546, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
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(930, 13122, F9, 8) (dual of [13122, 13092, 9]-code) | [i] | Trace Code | |
| 2 | Linear OA(8148, 13123, F81, 17) (dual of [13123, 13075, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(8164, 538003, F81, 17) (dual of [538003, 537939, 18]-code) | [i] | ||
| 4 | Linear OA(8119, 6643, F81, 8) (dual of [6643, 6624, 9]-code) | [i] | ||
| 5 | Linear OA(8120, 6661, F81, 8) (dual of [6661, 6641, 9]-code) | [i] | ||
| 6 | Linear OA(8121, 13041, F81, 8) (dual of [13041, 13020, 9]-code) | [i] | ||
| 7 | Linear OA(8121, 6725, F81, 8) (dual of [6725, 6704, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(8117, 6563, F81, 9) (dual of [6563, 6546, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(8115, 6563, F81, 8) (dual of [6563, 6548, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(8120, 6566, F81, 10) (dual of [6566, 6546, 11]-code) | [i] | ✔ | |
| 11 | Linear OA(8116, 6566, F81, 8) (dual of [6566, 6550, 9]-code) | [i] | ✔ | |
| 12 | Linear OA(8123, 6569, F81, 11) (dual of [6569, 6546, 12]-code) | [i] | ✔ | |
| 13 | Linear OA(8117, 6569, F81, 8) (dual of [6569, 6552, 9]-code) | [i] | ✔ | |
| 14 | Linear OA(8126, 6572, F81, 12) (dual of [6572, 6546, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(8118, 6572, F81, 8) (dual of [6572, 6554, 9]-code) | [i] | ✔ | |
| 16 | Linear OA(8129, 6575, F81, 13) (dual of [6575, 6546, 14]-code) | [i] | ✔ | |
| 17 | Linear OA(8132, 6578, F81, 14) (dual of [6578, 6546, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(8135, 6581, F81, 15) (dual of [6581, 6546, 16]-code) | [i] | ✔ | |
| 19 | Linear OA(8138, 6584, F81, 16) (dual of [6584, 6546, 17]-code) | [i] | ✔ | |
| 20 | Linear OOA(8115, 2187, F81, 3, 8) (dual of [(2187, 3), 6546, 9]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(8115, 1640, F81, 4, 8) (dual of [(1640, 4), 6545, 9]-NRT-code) | [i] | ||
| 22 | Linear OOA(8115, 1640, F81, 8, 8) (dual of [(1640, 8), 13105, 9]-NRT-code) | [i] | OA Folding and Stacking | |