Information on Result #1770217
Digital (194, 227, 22783)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3227, 22783, F3, 2, 33) (dual of [(22783, 2), 45339, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3227, 29542, F3, 2, 33) (dual of [(29542, 2), 58857, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3227, 59084, F3, 33) (dual of [59084, 58857, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3227, 59085, F3, 33) (dual of [59085, 58858, 34]-code), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- linear OA(3221, 59049, F3, 34) (dual of [59049, 58828, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3191, 59049, F3, 29) (dual of [59049, 58858, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(36, 36, F3, 3) (dual of [36, 30, 4]-code or 36-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(33) ⊂ Ce(28) [i] based on
- discarding factors / shortening the dual code based on linear OA(3227, 59085, F3, 33) (dual of [59085, 58858, 34]-code), using
- OOA 2-folding [i] based on linear OA(3227, 59084, F3, 33) (dual of [59084, 58857, 34]-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.