Information on Result #1323737
Linear OA(4232, 16440, F4, 42) (dual of [16440, 16208, 43]-code), using construction X applied to Ce(41) ⊂ Ce(33) based on
- linear OA(4218, 16384, F4, 42) (dual of [16384, 16166, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [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(414, 56, F4, 7) (dual of [56, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-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(4233, 16441, F4, 42) (dual of [16441, 16208, 43]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4234, 16443, F4, 42) (dual of [16443, 16209, 43]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(4232, 8220, F4, 2, 42) (dual of [(8220, 2), 16208, 43]-NRT-code) | [i] | OOA Folding | |