Information on Result #1712668
Digital (43, 53, 3289)-net over F3, using net defined by OOA based on linear OOA(353, 3289, F3, 15, 10) (dual of [(3289, 15), 49282, 11]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(353, 3290, F3, 5, 10) (dual of [(3290, 5), 16397, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(353, 3290, F3, 2, 10) (dual of [(3290, 2), 6527, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(353, 6580, F3, 10) (dual of [6580, 6527, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(353, 6581, F3, 10) (dual of [6581, 6528, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(349, 6561, F3, 10) (dual of [6561, 6512, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(333, 6561, F3, 7) (dual of [6561, 6528, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(9) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(353, 6581, F3, 10) (dual of [6581, 6528, 11]-code), using
- OOA 2-folding [i] based on linear OA(353, 6580, F3, 10) (dual of [6580, 6527, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(353, 3290, F3, 2, 10) (dual of [(3290, 2), 6527, 11]-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.