Information on Result #679076
Linear OA(4193, 16401, F4, 37) (dual of [16401, 16208, 38]-code), using construction X applied to Ce(36) ⊂ Ce(33) based on
- linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4176, 16384, F4, 34) (dual of [16384, 16208, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(43, 17, F4, 2) (dual of [17, 14, 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(4193, 9280, F4, 2, 37) (dual of [(9280, 2), 18367, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4193, 9280, F4, 3, 37) (dual of [(9280, 3), 27647, 38]-NRT-code) | [i] | ||
| 3 | Digital (156, 193, 9280)-net over F4 | [i] | ||
| 4 | Linear OOA(4193, 8200, F4, 2, 37) (dual of [(8200, 2), 16207, 38]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4193, 5467, F4, 3, 37) (dual of [(5467, 3), 16208, 38]-NRT-code) | [i] | ||