Information on Result #1715468
Digital (115, 141, 1096)-net over F3, using net defined by OOA based on linear OOA(3141, 1096, F3, 35, 26) (dual of [(1096, 35), 38219, 27]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3141, 3289, F3, 5, 26) (dual of [(3289, 5), 16304, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3141, 3290, F3, 5, 26) (dual of [(3290, 5), 16309, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3141, 3290, F3, 2, 26) (dual of [(3290, 2), 6439, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3141, 6580, F3, 26) (dual of [6580, 6439, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(3141, 6581, F3, 26) (dual of [6581, 6440, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(25) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(3141, 6581, F3, 26) (dual of [6581, 6440, 27]-code), using
- OOA 2-folding [i] based on linear OA(3141, 6580, F3, 26) (dual of [6580, 6439, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3141, 3290, F3, 2, 26) (dual of [(3290, 2), 6439, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3141, 3290, F3, 5, 26) (dual of [(3290, 5), 16309, 27]-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.