Information on Result #1738348
Digital (20, 30, 6564)-net over F27, using net defined by OOA based on linear OOA(2730, 6564, F27, 14, 10) (dual of [(6564, 14), 91866, 11]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2730, 19693, F27, 2, 10) (dual of [(19693, 2), 39356, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2730, 19694, F27, 2, 10) (dual of [(19694, 2), 39358, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2730, 19694, F27, 10) (dual of [19694, 19664, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- linear OA(2728, 19683, F27, 10) (dual of [19683, 19655, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2719, 19683, F27, 7) (dual of [19683, 19664, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(272, 11, F27, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,27)), using
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- Reed–Solomon code RS(25,27) [i]
- discarding factors / shortening the dual code based on linear OA(272, 27, F27, 2) (dual of [27, 25, 3]-code or 27-arc in PG(1,27)), using
- construction X applied to Ce(9) ⊂ Ce(6) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2730, 19694, F27, 10) (dual of [19694, 19664, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(2730, 19694, F27, 2, 10) (dual of [(19694, 2), 39358, 11]-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.