Information on Result #679724
Linear OA(484, 4119, F4, 18) (dual of [4119, 4035, 19]-code), using construction X applied to Ce(17) ⊂ Ce(13) based on
- linear OA(479, 4096, F4, 18) (dual of [4096, 4017, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(461, 4096, F4, 14) (dual of [4096, 4035, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
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 OOA(484, 2998, F4, 2, 18) (dual of [(2998, 2), 5912, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(484, 2998, F4, 3, 18) (dual of [(2998, 3), 8910, 19]-NRT-code) | [i] | ||
| 3 | Digital (66, 84, 2998)-net over F4 | [i] | ||
| 4 | Linear OOA(484, 2059, F4, 2, 18) (dual of [(2059, 2), 4034, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(484, 1373, F4, 3, 18) (dual of [(1373, 3), 4035, 19]-NRT-code) | [i] | ||