Information on Result #679668
Linear OA(4252, 4119, F4, 55) (dual of [4119, 3867, 56]-code), using construction X applied to Ce(54) ⊂ Ce(50) based on
- linear OA(4247, 4096, F4, 55) (dual of [4096, 3849, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(4229, 4096, F4, 51) (dual of [4096, 3867, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [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(4252, 2059, F4, 2, 55) (dual of [(2059, 2), 3866, 56]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4252, 1373, F4, 3, 55) (dual of [(1373, 3), 3867, 56]-NRT-code) | [i] | ||