Information on Result #1196464
Digital (53, 69, 48834)-net over F25, using net defined by OOA based on linear OOA(2569, 48834, F25, 18, 16) (dual of [(48834, 18), 878943, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2569, 195337, F25, 2, 16) (dual of [(195337, 2), 390605, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2569, 195340, F25, 2, 16) (dual of [(195340, 2), 390611, 17]-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(2561, 195314, F25, 2, 16) (dual of [(195314, 2), 390567, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2561, 390628, F25, 16) (dual of [390628, 390567, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, 390629, F25, 16) (dual of [390629, 390568, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(2561, 390625, F25, 16) (dual of [390625, 390564, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 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(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(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(2561, 390629, F25, 16) (dual of [390629, 390568, 17]-code), using
- OOA 2-folding [i] based on linear OA(2561, 390628, F25, 16) (dual of [390628, 390567, 17]-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(2569, 195340, F25, 2, 16) (dual of [(195340, 2), 390611, 17]-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.