Information on Result #1713270
Digital (90, 104, 32591)-net over F3, using net defined by OOA based on linear OOA(3104, 32591, F3, 20, 14) (dual of [(32591, 20), 651716, 15]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3104, 65183, F3, 4, 14) (dual of [(65183, 4), 260628, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3104, 65183, F3, 2, 14) (dual of [(65183, 2), 130262, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3104, 88586, F3, 2, 14) (dual of [(88586, 2), 177068, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3104, 177172, F3, 14) (dual of [177172, 177068, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3104, 177173, F3, 14) (dual of [177173, 177069, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(10) [i] based on
- linear OA(3100, 177147, F3, 14) (dual of [177147, 177047, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(378, 177147, F3, 11) (dual of [177147, 177069, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 177146 = 311−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(34, 26, F3, 2) (dual of [26, 22, 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(13) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(3104, 177173, F3, 14) (dual of [177173, 177069, 15]-code), using
- OOA 2-folding [i] based on linear OA(3104, 177172, F3, 14) (dual of [177172, 177068, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(3104, 88586, F3, 2, 14) (dual of [(88586, 2), 177068, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3104, 65183, F3, 2, 14) (dual of [(65183, 2), 130262, 15]-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.