Information on Result #1739192
Digital (44, 65, 3940)-net over F27, using net defined by OOA based on linear OOA(2765, 3940, F27, 22, 21) (dual of [(3940, 22), 86615, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2765, 19701, F27, 2, 21) (dual of [(19701, 2), 39337, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2765, 19702, F27, 2, 21) (dual of [(19702, 2), 39339, 22]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2765, 19702, F27, 21) (dual of [19702, 19637, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- linear OA(2761, 19683, F27, 21) (dual of [19683, 19622, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(274, 19, F27, 4) (dual of [19, 15, 5]-code or 19-arc in PG(3,27)), using
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- Reed–Solomon code RS(23,27) [i]
- discarding factors / shortening the dual code based on linear OA(274, 27, F27, 4) (dual of [27, 23, 5]-code or 27-arc in PG(3,27)), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2765, 19702, F27, 21) (dual of [19702, 19637, 22]-code), using
- discarding factors / shortening the dual code based on linear OOA(2765, 19702, F27, 2, 21) (dual of [(19702, 2), 39339, 22]-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.