Information on Result #1195842
Digital (14, 19, 195339)-net over F25, using net defined by OOA based on linear OOA(2519, 195339, F25, 6, 5) (dual of [(195339, 6), 1172015, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(2519, 195340, F25, 2, 5) (dual of [(195340, 2), 390661, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(252, 26, F25, 2, 2) (dual of [(26, 2), 50, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;50,25) [i]
- linear OOA(2517, 195314, F25, 2, 5) (dual of [(195314, 2), 390611, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2517, 390628, F25, 5) (dual of [390628, 390611, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(2517, 390629, F25, 5) (dual of [390629, 390612, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(2517, 390625, F25, 5) (dual of [390625, 390608, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(2513, 390625, F25, 4) (dual of [390625, 390612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(2517, 390629, F25, 5) (dual of [390629, 390612, 6]-code), using
- OOA 2-folding [i] based on linear OA(2517, 390628, F25, 5) (dual of [390628, 390611, 6]-code), using
- linear OOA(252, 26, F25, 2, 2) (dual of [(26, 2), 50, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
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.