Information on Result #1532712
Linear OOA(3242, 1897, F3, 3, 52) (dual of [(1897, 3), 5449, 53]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3242, 1897, F3, 52) (dual of [1897, 1655, 53]-code), using
- discarding factors / shortening the dual code based on linear OA(3242, 2200, F3, 52) (dual of [2200, 1958, 53]-code), using
- construction X applied to Ce(51) ⊂ Ce(48) [i] based on
- linear OA(3239, 2187, F3, 52) (dual of [2187, 1948, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [i]
- construction X applied to Ce(51) ⊂ Ce(48) [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(3242, 948, F3, 5, 52) (dual of [(948, 5), 4498, 53]-NRT-code) | [i] | OOA Folding | |