Information on Result #680033
Linear OA(4195, 1371, F4, 45) (dual of [1371, 1176, 46]-code), using construction X applied to Ce(44) ⊂ Ce(41) based on
- linear OA(4193, 1366, F4, 45) (dual of [1366, 1173, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4187, 1366, F4, 42) (dual of [1366, 1179, 43]-code), using an extension Ce(41) of the narrow-sense BCH-code C(I) with length 1365 | 46−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
- extended Reed–Solomon code RSe(3,4) [i]
- Hamming code H(2,4) [i]
Mode: Constructive and 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(4195, 685, F4, 2, 45) (dual of [(685, 2), 1175, 46]-NRT-code) | [i] | OOA Folding | |