Information on Result #1748926
Digital (39, 67, 17895)-net over F256, using net defined by OOA based on linear OOA(25667, 17895, F256, 35, 28) (dual of [(17895, 35), 626258, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25667, 53686, F256, 5, 28) (dual of [(53686, 5), 268363, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25667, 53688, F256, 5, 28) (dual of [(53688, 5), 268373, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25667, 53688, F256, 28) (dual of [53688, 53621, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(25667, 65574, F256, 28) (dual of [65574, 65507, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(14) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25629, 65536, F256, 15) (dual of [65536, 65507, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(25612, 38, F256, 12) (dual of [38, 26, 13]-code or 38-arc in PG(11,256)), using
- discarding factors / shortening the dual code based on linear OA(25612, 256, F256, 12) (dual of [256, 244, 13]-code or 256-arc in PG(11,256)), using
- Reed–Solomon code RS(244,256) [i]
- discarding factors / shortening the dual code based on linear OA(25612, 256, F256, 12) (dual of [256, 244, 13]-code or 256-arc in PG(11,256)), using
- construction X applied to Ce(27) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(25667, 65574, F256, 28) (dual of [65574, 65507, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25667, 53688, F256, 28) (dual of [53688, 53621, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(25667, 53688, F256, 5, 28) (dual of [(53688, 5), 268373, 29]-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.