Information on Result #1196422
Digital (53, 68, 55815)-net over F25, using net defined by OOA based on linear OOA(2568, 55815, F25, 15, 15) (dual of [(55815, 15), 837157, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2568, 390706, F25, 15) (dual of [390706, 390638, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2568, 390707, F25, 15) (dual of [390707, 390639, 16]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2511, 78, F25, 7) (dual of [78, 67, 8]-code), using
- linear OA(2557, 390629, F25, 15) (dual of [390629, 390572, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(2557, 390625, F25, 15) (dual of [390625, 390568, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(2553, 390625, F25, 14) (dual of [390625, 390572, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(14) ⊂ Ce(13) [i] based on
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(2568, 390707, F25, 15) (dual of [390707, 390639, 16]-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.