Information on Result #611777
Linear OA(3141, 4782970, F3, 15) (dual of [4782970, 4782829, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, 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(3148, 4782978, F3, 15) (dual of [4782978, 4782830, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(3172, 4782974, F3, 19) (dual of [4782974, 4782802, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(3173, 4782980, F3, 19) (dual of [4782980, 4782807, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(3174, 4782990, F3, 19) (dual of [4782990, 4782816, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(3175, 4783004, F3, 19) (dual of [4783004, 4782829, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(3171, 4782974, F3, 18) (dual of [4782974, 4782803, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(3172, 4782983, F3, 18) (dual of [4782983, 4782811, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(3173, 4783002, F3, 18) (dual of [4783002, 4782829, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3142, 4782999, F3, 15) (dual of [4782999, 4782857, 16]-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(3142, 4783000, F3, 15) (dual of [4783000, 4782858, 16]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |