Information on Result #1712282
Digital (33, 40, 9847)-net over F3, using net defined by OOA based on linear OOA(340, 9847, F3, 9, 7) (dual of [(9847, 9), 88583, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(340, 9848, F3, 3, 7) (dual of [(9848, 3), 29504, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(340, 9848, F3, 2, 7) (dual of [(9848, 2), 19656, 8]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(338, 9847, F3, 2, 7) (dual of [(9847, 2), 19656, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(338, 19694, F3, 7) (dual of [19694, 19656, 8]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- linear OA(337, 19683, F3, 7) (dual of [19683, 19646, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(328, 19683, F3, 5) (dual of [19683, 19655, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(310, 11, F3, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,3)), using
- dual of repetition code with length 11 [i]
- linear OA(31, 11, F3, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(6) ⊂ Ce(4) [i] based on
- OOA 2-folding [i] based on linear OA(338, 19694, F3, 7) (dual of [19694, 19656, 8]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(338, 9847, F3, 2, 7) (dual of [(9847, 2), 19656, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(340, 9848, F3, 2, 7) (dual of [(9848, 2), 19656, 8]-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.