Information on Result #1196216
Digital (40, 52, 65114)-net over F25, using net defined by OOA based on linear OOA(2552, 65114, F25, 14, 12) (dual of [(65114, 14), 911544, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2552, 195343, F25, 2, 12) (dual of [(195343, 2), 390634, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(256, 26, F25, 2, 6) (dual of [(26, 2), 46, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;46,25) [i]
- linear OOA(2546, 195317, F25, 2, 12) (dual of [(195317, 2), 390588, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2546, 390634, F25, 12) (dual of [390634, 390588, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(2545, 390625, F25, 12) (dual of [390625, 390580, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2537, 390625, F25, 10) (dual of [390625, 390588, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(251, 9, F25, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- OOA 2-folding [i] based on linear OA(2546, 390634, F25, 12) (dual of [390634, 390588, 13]-code), using
- linear OOA(256, 26, F25, 2, 6) (dual of [(26, 2), 46, 7]-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.