Information on Result #1196506
Digital (86, 102, 1050535)-net over F25, using net defined by OOA based on linear OOA(25102, 1050535, F25, 18, 16) (dual of [(1050535, 18), 18909528, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(25102, 4202141, F25, 2, 16) (dual of [(4202141, 2), 8404180, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2526, 7840, F25, 2, 8) (dual of [(7840, 2), 15654, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(254, 26, F25, 2, 4) (dual of [(26, 2), 48, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;48,25) [i]
- linear OOA(2522, 7814, F25, 2, 8) (dual of [(7814, 2), 15606, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2522, 15628, F25, 8) (dual of [15628, 15606, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2519, 15625, F25, 7) (dual of [15625, 15606, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- OOA 2-folding [i] based on linear OA(2522, 15628, F25, 8) (dual of [15628, 15606, 9]-code), using
- linear OOA(254, 26, F25, 2, 4) (dual of [(26, 2), 48, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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(2526, 7840, F25, 2, 8) (dual of [(7840, 2), 15654, 9]-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.