Information on Result #611771
Linear OA(3121, 531442, F3, 15) (dual of [531442, 531321, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound)
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(3128, 531450, F3, 15) (dual of [531450, 531322, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3148, 531446, F3, 19) (dual of [531446, 531298, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3149, 531452, F3, 19) (dual of [531452, 531303, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(3150, 531462, F3, 19) (dual of [531462, 531312, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3151, 531472, F3, 19) (dual of [531472, 531321, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3147, 531446, F3, 18) (dual of [531446, 531299, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(3148, 531455, F3, 18) (dual of [531455, 531307, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(3149, 531470, F3, 18) (dual of [531470, 531321, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3122, 531467, F3, 15) (dual of [531467, 531345, 16]-code) | [i] | ✔ | |
| 10 | Linear OA(3179, 531478, F3, 21) (dual of [531478, 531299, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3180, 531483, F3, 21) (dual of [531483, 531303, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(3181, 531498, F3, 21) (dual of [531498, 531317, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(3180, 531501, F3, 21) (dual of [531501, 531321, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(3122, 531468, F3, 15) (dual of [531468, 531346, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |