Information on Result #614782
Linear OA(822, 2097152, F8, 4) (dual of [2097152, 2097130, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4
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(824, 2097161, F8, 4) (dual of [2097161, 2097137, 5]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(829, 2097159, F8, 5) (dual of [2097159, 2097130, 6]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(822, 2097159, F8, 4) (dual of [2097159, 2097137, 5]-code) | [i] | ✔ | |
| 4 | Linear OA(837, 2097167, F8, 6) (dual of [2097167, 2097130, 7]-code) | [i] | ✔ | |
| 5 | Linear OA(823, 2097167, F8, 4) (dual of [2097167, 2097144, 5]-code) | [i] | ✔ | |
| 6 | Linear OA(846, 2097176, F8, 7) (dual of [2097176, 2097130, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(854, 2097184, F8, 8) (dual of [2097184, 2097130, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(855, 2097179, F8, 9) (dual of [2097179, 2097124, 10]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(823, 2097161, F8, 4) (dual of [2097161, 2097138, 5]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(837, 2097168, F8, 6) (dual of [2097168, 2097131, 7]-code) | [i] | ✔ | |
| 11 | Linear OA(823, 2097168, F8, 4) (dual of [2097168, 2097145, 5]-code) | [i] | ✔ | |