Information on Result #1323656
Linear OA(4196, 65611, F4, 30) (dual of [65611, 65415, 31]-code), using construction X applied to Ce(29) ⊂ Ce(20) based on
- linear OA(4177, 65536, F4, 30) (dual of [65536, 65359, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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 OA(4197, 65612, F4, 30) (dual of [65612, 65415, 31]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4198, 65614, F4, 30) (dual of [65614, 65416, 31]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(4196, 32805, F4, 2, 30) (dual of [(32805, 2), 65414, 31]-NRT-code) | [i] | OOA Folding | |