Information on Result #1204774
Digital (26, 44, 7367)-net over F256, using net defined by OOA based on linear OOA(25644, 7367, F256, 21, 18) (dual of [(7367, 21), 154663, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25644, 22102, F256, 3, 18) (dual of [(22102, 3), 66262, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25644, 22103, F256, 3, 18) (dual of [(22103, 3), 66265, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2569, 257, F256, 3, 9) (dual of [(257, 3), 762, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;762,256) [i]
- linear OOA(25635, 21846, F256, 3, 18) (dual of [(21846, 3), 65503, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25635, 65538, F256, 18) (dual of [65538, 65503, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(25635, 65538, F256, 18) (dual of [65538, 65503, 19]-code), using
- linear OOA(2569, 257, F256, 3, 9) (dual of [(257, 3), 762, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(25644, 22103, F256, 3, 18) (dual of [(22103, 3), 66265, 19]-NRT-code), using
Mode: Constructive and 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.