Information on Result #1581069
Linear OOA(3244, 992, F3, 4, 52) (dual of [(992, 4), 3724, 53]-NRT-code), using OOA 2-folding based on linear OOA(3244, 1984, F3, 2, 52) (dual of [(1984, 2), 3724, 53]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3244, 1984, F3, 52) (dual of [1984, 1740, 53]-code), using
- discarding factors / shortening the dual code based on linear OA(3244, 2206, F3, 52) (dual of [2206, 1962, 53]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3243, 2205, F3, 52) (dual of [2205, 1962, 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(34, 18, F3, 2) (dual of [18, 14, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- Hamming code H(4,3) [i]
- discarding factors / shortening the dual code based on linear OA(34, 40, F3, 2) (dual of [40, 36, 3]-code), using
- construction X applied to Ce(51) ⊂ Ce(48) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3243, 2205, F3, 52) (dual of [2205, 1962, 53]-code), using
- discarding factors / shortening the dual code based on linear OA(3244, 2206, F3, 52) (dual of [2206, 1962, 53]-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
None.