Information on Result #614948
Linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18
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(8115, 2097162, F8, 18) (dual of [2097162, 2097047, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8116, 2097166, F8, 18) (dual of [2097166, 2097050, 19]-code) | [i] | ||
| 3 | Linear OA(8117, 2097169, F8, 18) (dual of [2097169, 2097052, 19]-code) | [i] | ||
| 4 | Linear OA(8118, 2097176, F8, 18) (dual of [2097176, 2097058, 19]-code) | [i] | ||
| 5 | Linear OA(8119, 2097179, F8, 18) (dual of [2097179, 2097060, 19]-code) | [i] | ||
| 6 | Linear OA(8120, 2097167, F8, 18) (dual of [2097167, 2097047, 19]-code) | [i] | Generalized (u, u+v)-Construction | |
| 7 | Linear OA(8119, 2097166, F8, 18) (dual of [2097166, 2097047, 19]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(8120, 2097168, F8, 18) (dual of [2097168, 2097048, 19]-code) | [i] | ||
| 9 | Linear OA(8113, 2097159, F8, 19) (dual of [2097159, 2097046, 20]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(8106, 2097159, F8, 18) (dual of [2097159, 2097053, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(8121, 2097167, F8, 20) (dual of [2097167, 2097046, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(8109, 2097169, F8, 18) (dual of [2097169, 2097060, 19]-code) | [i] | ✔ | |
| 13 | Linear OA(8130, 2097176, F8, 21) (dual of [2097176, 2097046, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(8110, 2097177, F8, 18) (dual of [2097177, 2097067, 19]-code) | [i] | ✔ | |
| 15 | Linear OA(8138, 2097184, F8, 22) (dual of [2097184, 2097046, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(8112, 2097186, F8, 18) (dual of [2097186, 2097074, 19]-code) | [i] | ✔ | |
| 17 | Linear OA(8147, 2097193, F8, 23) (dual of [2097193, 2097046, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(8113, 2097194, F8, 18) (dual of [2097194, 2097081, 19]-code) | [i] | ✔ | |
| 19 | Linear OA(8159, 2097205, F8, 25) (dual of [2097205, 2097046, 26]-code) | [i] | ✔ | |
| 20 | Linear OA(8155, 2097201, F8, 24) (dual of [2097201, 2097046, 25]-code) | [i] | ✔ | |
| 21 | Linear OA(8117, 2097205, F8, 18) (dual of [2097205, 2097088, 19]-code) | [i] | ✔ | |
| 22 | Linear OA(8168, 2097214, F8, 26) (dual of [2097214, 2097046, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(8119, 2097214, F8, 18) (dual of [2097214, 2097095, 19]-code) | [i] | ✔ | |
| 24 | Linear OA(8158, 2097204, F8, 25) (dual of [2097204, 2097046, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(8116, 2097204, F8, 18) (dual of [2097204, 2097088, 19]-code) | [i] | ✔ | |
| 26 | Linear OA(8167, 2097213, F8, 26) (dual of [2097213, 2097046, 27]-code) | [i] | ✔ | |
| 27 | Linear OA(8118, 2097213, F8, 18) (dual of [2097213, 2097095, 19]-code) | [i] | ✔ | |
| 28 | Linear OA(8122, 2097169, F8, 20) (dual of [2097169, 2097047, 21]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 29 | Linear OA(8108, 2097162, F8, 18) (dual of [2097162, 2097054, 19]-code) | [i] | ✔ | |
| 30 | Linear OA(8111, 2097179, F8, 18) (dual of [2097179, 2097068, 19]-code) | [i] | ✔ | |
| 31 | Linear OA(8128, 2097175, F8, 20) (dual of [2097175, 2097047, 21]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |