Information on Result #611745
Linear OA(3127, 4782969, F3, 14) (dual of [4782969, 4782842, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14
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(3134, 4782977, F3, 14) (dual of [4782977, 4782843, 15]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3142, 4782984, F3, 16) (dual of [4782984, 4782842, 17]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(3127, 4782983, F3, 14) (dual of [4782983, 4782856, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(3159, 4783001, F3, 17) (dual of [4783001, 4782842, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(3131, 4783001, F3, 14) (dual of [4783001, 4782870, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(3177, 4783010, F3, 19) (dual of [4783010, 4782833, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3178, 4783020, F3, 19) (dual of [4783020, 4782842, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(3175, 4783017, F3, 18) (dual of [4783017, 4782842, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(3133, 4783017, F3, 14) (dual of [4783017, 4782884, 15]-code) | [i] | ✔ | |
| 10 | Linear OA(3195, 4783025, F3, 20) (dual of [4783025, 4782830, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(3194, 4783036, F3, 20) (dual of [4783036, 4782842, 21]-code) | [i] | ✔ | |
| 12 | Linear OA(3128, 4782985, F3, 14) (dual of [4782985, 4782857, 15]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |