Information on Result #1427451
Linear OOA(4190, 3645, F4, 2, 42) (dual of [(3645, 2), 7100, 43]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4190, 3645, F4, 42) (dual of [3645, 3455, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(4190, 4111, F4, 42) (dual of [4111, 3921, 43]-code), using
- construction X applied to Ce(41) ⊂ Ce(38) [i] based on
- linear OA(4187, 4096, F4, 42) (dual of [4096, 3909, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(4175, 4096, F4, 39) (dual of [4096, 3921, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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
- construction X applied to Ce(41) ⊂ Ce(38) [i] based on
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(4190, 1822, F4, 3, 42) (dual of [(1822, 3), 5276, 43]-NRT-code) | [i] | OOA Folding | |