Information on Result #679644
Linear OA(4118, 4111, F4, 26) (dual of [4111, 3993, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(4115, 4096, F4, 26) (dual of [4096, 3981, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(4103, 4096, F4, 23) (dual of [4096, 3993, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(43, 15, F4, 2) (dual of [15, 12, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- discarding factors / shortening the dual code based on linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), 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(4118, 2795, F4, 2, 26) (dual of [(2795, 2), 5472, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4118, 2795, F4, 3, 26) (dual of [(2795, 3), 8267, 27]-NRT-code) | [i] | ||
| 3 | Digital (92, 118, 2795)-net over F4 | [i] | ||
| 4 | Linear OOA(4118, 2055, F4, 2, 26) (dual of [(2055, 2), 3992, 27]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4118, 1370, F4, 3, 26) (dual of [(1370, 3), 3992, 27]-NRT-code) | [i] | ||