Information on Result #611900
Linear OA(3197, 4782970, F3, 21) (dual of [4782970, 4782773, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(3207, 4782981, F3, 21) (dual of [4782981, 4782774, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3228, 4782974, F3, 25) (dual of [4782974, 4782746, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(3229, 4782980, F3, 25) (dual of [4782980, 4782751, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(3230, 4782990, F3, 25) (dual of [4782990, 4782760, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(3231, 4783004, F3, 25) (dual of [4783004, 4782773, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(3227, 4782974, F3, 24) (dual of [4782974, 4782747, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(3228, 4782983, F3, 24) (dual of [4782983, 4782755, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(3229, 4783002, F3, 24) (dual of [4783002, 4782773, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(3198, 4782999, F3, 21) (dual of [4782999, 4782801, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(3208, 4783011, F3, 21) (dual of [4783011, 4782803, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(3209, 4783026, F3, 21) (dual of [4783026, 4782817, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(3208, 4783037, F3, 21) (dual of [4783037, 4782829, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(3198, 4783000, F3, 21) (dual of [4783000, 4782802, 22]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |