Information on Result #1196788
Digital (70, 91, 39067)-net over F25, using net defined by OOA based on linear OOA(2591, 39067, F25, 22, 21) (dual of [(39067, 22), 859383, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(2591, 195336, F25, 2, 21) (dual of [(195336, 2), 390581, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2591, 195340, F25, 2, 21) (dual of [(195340, 2), 390589, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2510, 26, F25, 2, 10) (dual of [(26, 2), 42, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;42,25) [i]
- linear OOA(2581, 195314, F25, 2, 21) (dual of [(195314, 2), 390547, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2581, 390628, F25, 21) (dual of [390628, 390547, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2581, 390629, F25, 21) (dual of [390629, 390548, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(2581, 390625, F25, 21) (dual of [390625, 390544, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(2581, 390629, F25, 21) (dual of [390629, 390548, 22]-code), using
- OOA 2-folding [i] based on linear OA(2581, 390628, F25, 21) (dual of [390628, 390547, 22]-code), using
- linear OOA(2510, 26, F25, 2, 10) (dual of [(26, 2), 42, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2591, 195340, F25, 2, 21) (dual of [(195340, 2), 390589, 22]-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.