Information on Result #614875
Linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12
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(877, 2097161, F8, 12) (dual of [2097161, 2097084, 13]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(878, 2097166, F8, 12) (dual of [2097166, 2097088, 13]-code) | [i] | ||
| 3 | Linear OA(879, 2097169, F8, 12) (dual of [2097169, 2097090, 13]-code) | [i] | ||
| 4 | Linear OA(880, 2097176, F8, 12) (dual of [2097176, 2097096, 13]-code) | [i] | ||
| 5 | Linear OOA(871, 1356771, F8, 2, 12) (dual of [(1356771, 2), 2713471, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 6 | Linear OOA(871, 1356771, F8, 3, 12) (dual of [(1356771, 3), 4070242, 13]-NRT-code) | [i] | ||
| 7 | Digital (59, 71, 1356771)-net over F8 | [i] | ||
| 8 | Linear OA(880, 2097162, F8, 12) (dual of [2097162, 2097082, 13]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 9 | Linear OA(878, 2097159, F8, 13) (dual of [2097159, 2097081, 14]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(871, 2097159, F8, 12) (dual of [2097159, 2097088, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(886, 2097167, F8, 14) (dual of [2097167, 2097081, 15]-code) | [i] | ✔ | |
| 12 | Linear OA(872, 2097167, F8, 12) (dual of [2097167, 2097095, 13]-code) | [i] | ✔ | |
| 13 | Linear OA(895, 2097176, F8, 15) (dual of [2097176, 2097081, 16]-code) | [i] | ✔ | |
| 14 | Linear OA(874, 2097176, F8, 12) (dual of [2097176, 2097102, 13]-code) | [i] | ✔ | |
| 15 | Linear OA(8105, 2097186, F8, 17) (dual of [2097186, 2097081, 18]-code) | [i] | ✔ | |
| 16 | Linear OA(8103, 2097184, F8, 16) (dual of [2097184, 2097081, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(877, 2097186, F8, 12) (dual of [2097186, 2097109, 13]-code) | [i] | ✔ | |
| 18 | Linear OA(8113, 2097194, F8, 18) (dual of [2097194, 2097081, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(878, 2097194, F8, 12) (dual of [2097194, 2097116, 13]-code) | [i] | ✔ | |
| 20 | Linear OA(8124, 2097205, F8, 19) (dual of [2097205, 2097081, 20]-code) | [i] | ✔ | |
| 21 | Linear OA(8133, 2097214, F8, 20) (dual of [2097214, 2097081, 21]-code) | [i] | ✔ | |
| 22 | Linear OA(8143, 2097224, F8, 21) (dual of [2097224, 2097081, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(8152, 2097233, F8, 22) (dual of [2097233, 2097081, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(8142, 2097219, F8, 21) (dual of [2097219, 2097077, 22]-code) | [i] | ✔ | |
| 25 | Linear OA(8123, 2097204, F8, 19) (dual of [2097204, 2097081, 20]-code) | [i] | ✔ | |
| 26 | Linear OA(8104, 2097179, F8, 17) (dual of [2097179, 2097075, 18]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(876, 2097179, F8, 12) (dual of [2097179, 2097103, 13]-code) | [i] | ✔ | |
| 28 | Linear OA(886, 2097168, F8, 14) (dual of [2097168, 2097082, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 29 | Linear OA(872, 2097168, F8, 12) (dual of [2097168, 2097096, 13]-code) | [i] | ✔ | |