Information on Result #1476884
Linear OOA(3241, 2854, F3, 3, 42) (dual of [(2854, 3), 8321, 43]-NRT-code), using OOA 2-folding based on linear OOA(3241, 5708, F3, 2, 42) (dual of [(5708, 2), 11175, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3241, 5709, F3, 2, 42) (dual of [(5709, 2), 11177, 43]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3241, 5709, F3, 42) (dual of [5709, 5468, 43]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, 6625, F3, 42) (dual of [6625, 6384, 43]-code), using
- construction X applied to Ce(42) ⊂ Ce(33) [i] based on
- 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(3177, 6561, F3, 34) (dual of [6561, 6384, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(316, 64, F3, 7) (dual of [64, 48, 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(42) ⊂ Ce(33) [i] based on
- discarding factors / shortening the dual code based on linear OA(3241, 6625, F3, 42) (dual of [6625, 6384, 43]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3241, 5709, F3, 42) (dual of [5709, 5468, 43]-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.