Information on Result #1714406
Digital (89, 109, 1644)-net over F3, using net defined by OOA based on linear OOA(3109, 1644, F3, 25, 20) (dual of [(1644, 25), 40991, 21]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3109, 3289, F3, 5, 20) (dual of [(3289, 5), 16336, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3109, 3290, F3, 5, 20) (dual of [(3290, 5), 16341, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3109, 3290, F3, 2, 20) (dual of [(3290, 2), 6471, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3109, 6580, F3, 20) (dual of [6580, 6471, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3109, 6581, F3, 20) (dual of [6581, 6472, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(16) [i] based on
- linear OA(3105, 6561, F3, 20) (dual of [6561, 6456, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(389, 6561, F3, 17) (dual of [6561, 6472, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(19) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(3109, 6581, F3, 20) (dual of [6581, 6472, 21]-code), using
- OOA 2-folding [i] based on linear OA(3109, 6580, F3, 20) (dual of [6580, 6471, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3109, 3290, F3, 2, 20) (dual of [(3290, 2), 6471, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3109, 3290, F3, 5, 20) (dual of [(3290, 5), 16341, 21]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.