Information on Result #612372
Linear OA(3239, 1094, F3, 53) (dual of [1094, 855, 54]-code), using an extension Ce(52) of the narrow-sense BCH-code C(I) with length 1093 | 37−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53
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(3247, 1102, F3, 55) (dual of [1102, 855, 56]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
2 | Linear OA(3239, 1101, F3, 53) (dual of [1101, 862, 54]-code) | [i] | ✔ | |
3 | Linear OA(3242, 1107, F3, 53) (dual of [1107, 865, 54]-code) | [i] | ✔ | |
4 | Linear OA(3243, 1112, F3, 53) (dual of [1112, 869, 54]-code) | [i] | ✔ | |
5 | Linear OA(3244, 1114, F3, 53) (dual of [1114, 870, 54]-code) | [i] | ✔ | |
6 | Linear OA(3245, 1121, F3, 53) (dual of [1121, 876, 54]-code) | [i] | ✔ | |
7 | Linear OA(3248, 1104, F3, 55) (dual of [1104, 856, 56]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
8 | Linear OA(3241, 1104, F3, 53) (dual of [1104, 863, 54]-code) | [i] | ✔ |