Information on Result #1204220
Digital (46, 77, 1122)-net over F128, using net defined by OOA based on linear OOA(12877, 1122, F128, 33, 31) (dual of [(1122, 33), 36949, 32]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(12877, 5611, F128, 3, 31) (dual of [(5611, 3), 16756, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12877, 5612, F128, 3, 31) (dual of [(5612, 3), 16759, 32]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12816, 150, F128, 3, 15) (dual of [(150, 3), 434, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,434P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12861, 5462, F128, 3, 31) (dual of [(5462, 3), 16325, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12861, 16386, F128, 31) (dual of [16386, 16325, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(12861, 16384, F128, 31) (dual of [16384, 16323, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- OOA 3-folding [i] based on linear OA(12861, 16386, F128, 31) (dual of [16386, 16325, 32]-code), using
- linear OOA(12816, 150, F128, 3, 15) (dual of [(150, 3), 434, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12877, 5612, F128, 3, 31) (dual of [(5612, 3), 16759, 32]-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.