Information on Result #1203764
Digital (33, 51, 1949)-net over F128, using net defined by OOA based on linear OOA(12851, 1949, F128, 21, 18) (dual of [(1949, 21), 40878, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12851, 5848, F128, 3, 18) (dual of [(5848, 3), 17493, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12851, 5849, F128, 3, 18) (dual of [(5849, 3), 17496, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12816, 387, F128, 3, 9) (dual of [(387, 3), 1145, 10]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;384,128) [i]
- linear OOA(1284, 129, F128, 3, 4) (dual of [(129, 3), 383, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;383,128) [i]
- linear OOA(1289, 129, F128, 3, 9) (dual of [(129, 3), 378, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;378,128) [i]
- linear OOA(1283, 129, F128, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(12835, 5462, F128, 3, 18) (dual of [(5462, 3), 16351, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12835, 16386, F128, 18) (dual of [16386, 16351, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(12835, 16384, F128, 18) (dual of [16384, 16349, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(12835, 16386, F128, 18) (dual of [16386, 16351, 19]-code), using
- linear OOA(12816, 387, F128, 3, 9) (dual of [(387, 3), 1145, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12851, 5849, F128, 3, 18) (dual of [(5849, 3), 17496, 19]-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.