Information on Result #1196480
Digital (68, 84, 1048581)-net over F25, using net defined by OOA based on linear OOA(2584, 1048581, F25, 18, 16) (dual of [(1048581, 18), 18874374, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2584, 4194325, F25, 2, 16) (dual of [(4194325, 2), 8388566, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2584, 4194327, F25, 2, 16) (dual of [(4194327, 2), 8388570, 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(2576, 4194301, F25, 2, 16) (dual of [(4194301, 2), 8388526, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2576, 8388602, F25, 16) (dual of [8388602, 8388526, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2576, large, F25, 16) (dual of [large, large−76, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2576, large, F25, 16) (dual of [large, large−76, 17]-code), using
- OOA 2-folding [i] based on linear OA(2576, 8388602, F25, 16) (dual of [8388602, 8388526, 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(2584, 4194327, F25, 2, 16) (dual of [(4194327, 2), 8388570, 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.