Information on Result #1203636
Digital (25, 41, 2123)-net over F128, using net defined by OOA based on linear OOA(12841, 2123, F128, 20, 16) (dual of [(2123, 20), 42419, 17]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12841, 4247, F128, 4, 16) (dual of [(4247, 4), 16947, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1289, 150, F128, 4, 8) (dual of [(150, 4), 591, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,591P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12832, 4097, F128, 4, 16) (dual of [(4097, 4), 16356, 17]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12832, 16388, F128, 16) (dual of [16388, 16356, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(12832, 16389, F128, 16) (dual of [16389, 16357, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(12827, 16384, F128, 14) (dual of [16384, 16357, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(12832, 16389, F128, 16) (dual of [16389, 16357, 17]-code), using
- OOA 4-folding [i] based on linear OA(12832, 16388, F128, 16) (dual of [16388, 16356, 17]-code), using
- linear OOA(1289, 150, F128, 4, 8) (dual of [(150, 4), 591, 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.