Information on Result #1062332
Linear OOA(3188, 562, F3, 4, 36) (dual of [(562, 4), 2060, 37]-NRT-code), using OOA 4-folding based on linear OA(3188, 2248, F3, 36) (dual of [2248, 2060, 37]-code), using
- 3 times code embedding in larger space [i] based on linear OA(3185, 2245, F3, 36) (dual of [2245, 2060, 37]-code), using
- construction X applied to Ce(36) ⊂ Ce(27) [i] based on
- linear OA(3169, 2187, F3, 37) (dual of [2187, 2018, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3127, 2187, F3, 28) (dual of [2187, 2060, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(316, 58, F3, 7) (dual of [58, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(36) ⊂ Ce(27) [i] based on
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
None.