Information on Result #1715750
Digital (194, 221, 52302)-net over F3, using net defined by OOA based on linear OOA(3221, 52302, F3, 35, 27) (dual of [(52302, 35), 1830349, 28]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3221, 156907, F3, 5, 27) (dual of [(156907, 5), 784314, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3221, 156908, F3, 5, 27) (dual of [(156908, 5), 784319, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3221, 156908, F3, 3, 27) (dual of [(156908, 3), 470503, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3221, 177156, F3, 3, 27) (dual of [(177156, 3), 531247, 28]-NRT-code), using
- strength reduction [i] based on linear OOA(3221, 177156, F3, 3, 28) (dual of [(177156, 3), 531247, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3221, 531468, F3, 28) (dual of [531468, 531247, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 531469, F3, 28) (dual of [531469, 531248, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(24) [i] based on
- linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3193, 531441, F3, 25) (dual of [531441, 531248, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(34, 28, F3, 2) (dual of [28, 24, 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(27) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(3221, 531469, F3, 28) (dual of [531469, 531248, 29]-code), using
- OOA 3-folding [i] based on linear OA(3221, 531468, F3, 28) (dual of [531468, 531247, 29]-code), using
- strength reduction [i] based on linear OOA(3221, 177156, F3, 3, 28) (dual of [(177156, 3), 531247, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3221, 177156, F3, 3, 27) (dual of [(177156, 3), 531247, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3221, 156908, F3, 3, 27) (dual of [(156908, 3), 470503, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3221, 156908, F3, 5, 27) (dual of [(156908, 5), 784319, 28]-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.