Information on Result #1426831
Linear OOA(4184, 3943, F4, 2, 40) (dual of [(3943, 2), 7702, 41]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4184, 3943, F4, 40) (dual of [3943, 3759, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(4184, 4117, F4, 40) (dual of [4117, 3933, 41]-code), using
- construction X applied to Ce(40) ⊂ Ce(36) [i] based on
- linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4163, 4096, F4, 37) (dual of [4096, 3933, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(40) ⊂ Ce(36) [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(4184, 1971, F4, 3, 40) (dual of [(1971, 3), 5729, 41]-NRT-code) | [i] | OOA Folding | |