Information on Result #615059
Linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(8168, 2097166, F8, 26) (dual of [2097166, 2096998, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8169, 2097168, F8, 26) (dual of [2097168, 2096999, 27]-code) | [i] | ||
| 3 | Linear OA(8170, 2097170, F8, 26) (dual of [2097170, 2097000, 27]-code) | [i] | ||
| 4 | Linear OA(8171, 2097176, F8, 26) (dual of [2097176, 2097005, 27]-code) | [i] | ||
| 5 | Linear OA(8172, 2097179, F8, 26) (dual of [2097179, 2097007, 27]-code) | [i] | ||
| 6 | Linear OA(8172, 2097170, F8, 26) (dual of [2097170, 2096998, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(8162, 2097159, F8, 27) (dual of [2097159, 2096997, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(8155, 2097159, F8, 26) (dual of [2097159, 2097004, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(8170, 2097167, F8, 28) (dual of [2097167, 2096997, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(8158, 2097169, F8, 26) (dual of [2097169, 2097011, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(8159, 2097177, F8, 26) (dual of [2097177, 2097018, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(8161, 2097186, F8, 26) (dual of [2097186, 2097025, 27]-code) | [i] | ✔ | |
| 13 | Linear OA(8162, 2097194, F8, 26) (dual of [2097194, 2097032, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(8166, 2097205, F8, 26) (dual of [2097205, 2097039, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(8168, 2097214, F8, 26) (dual of [2097214, 2097046, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(8170, 2097217, F8, 26) (dual of [2097217, 2097047, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(8171, 2097224, F8, 26) (dual of [2097224, 2097053, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(8170, 2097219, F8, 26) (dual of [2097219, 2097049, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(8165, 2097204, F8, 26) (dual of [2097204, 2097039, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(8167, 2097213, F8, 26) (dual of [2097213, 2097046, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(8170, 2097223, F8, 26) (dual of [2097223, 2097053, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(8171, 2097169, F8, 28) (dual of [2097169, 2096998, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(8157, 2097162, F8, 26) (dual of [2097162, 2097005, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(8160, 2097179, F8, 26) (dual of [2097179, 2097019, 27]-code) | [i] | ✔ | |
| 25 | Linear OOA(8155, 161319, F8, 26, 26) (dual of [(161319, 26), 4194139, 27]-NRT-code) | [i] | OA Folding and Stacking | |