Information on Result #1323657
Linear OA(4188, 65611, F4, 28) (dual of [65611, 65423, 29]-code), using construction X applied to Ce(28) ⊂ Ce(18) based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4113, 65536, F4, 19) (dual of [65536, 65423, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(419, 75, F4, 8) (dual of [75, 56, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(419, 87, F4, 8) (dual of [87, 68, 9]-code), using
Mode: 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(4188, 65611, F4, 2, 28) (dual of [(65611, 2), 131034, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4188, 65611, F4, 3, 28) (dual of [(65611, 3), 196645, 29]-NRT-code) | [i] | ||
| 3 | Digital (160, 188, 65611)-net over F4 | [i] | ||
| 4 | Linear OOA(4188, 32805, F4, 2, 28) (dual of [(32805, 2), 65422, 29]-NRT-code) | [i] | OOA Folding | |