Information on Result #1196528
Digital (40, 57, 1959)-net over F25, using net defined by OOA based on linear OOA(2557, 1959, F25, 18, 17) (dual of [(1959, 18), 35205, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2557, 7837, F25, 2, 17) (dual of [(7837, 2), 15617, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2557, 7840, F25, 2, 17) (dual of [(7840, 2), 15623, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(258, 26, F25, 2, 8) (dual of [(26, 2), 44, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;44,25) [i]
- linear OOA(2549, 7814, F25, 2, 17) (dual of [(7814, 2), 15579, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2549, 15628, F25, 17) (dual of [15628, 15579, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(2549, 15625, F25, 17) (dual of [15625, 15576, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2546, 15625, F25, 16) (dual of [15625, 15579, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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(16) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(2549, 15628, F25, 17) (dual of [15628, 15579, 18]-code), using
- linear OOA(258, 26, F25, 2, 8) (dual of [(26, 2), 44, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2557, 7840, F25, 2, 17) (dual of [(7840, 2), 15623, 18]-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.