Information on Result #1580651
Linear OOA(3245, 1887, F3, 4, 46) (dual of [(1887, 4), 7303, 47]-NRT-code), using OOA 2-folding based on linear OOA(3245, 3774, F3, 2, 46) (dual of [(3774, 2), 7303, 47]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3245, 3775, F3, 2, 46) (dual of [(3775, 2), 7305, 47]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3245, 3775, F3, 46) (dual of [3775, 3530, 47]-code), using
- discarding factors / shortening the dual code based on linear OA(3245, 6581, F3, 46) (dual of [6581, 6336, 47]-code), using
- construction X applied to Ce(45) ⊂ Ce(42) [i] based on
- linear OA(3241, 6561, F3, 46) (dual of [6561, 6320, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(3225, 6561, F3, 43) (dual of [6561, 6336, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(34, 20, F3, 2) (dual of [20, 16, 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(45) ⊂ Ce(42) [i] based on
- discarding factors / shortening the dual code based on linear OA(3245, 6581, F3, 46) (dual of [6581, 6336, 47]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3245, 3775, F3, 46) (dual of [3775, 3530, 47]-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.