Information on Result #1203704
Digital (30, 47, 2241)-net over F128, using net defined by OOA based on linear OOA(12847, 2241, F128, 20, 17) (dual of [(2241, 20), 44773, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12847, 4483, F128, 4, 17) (dual of [(4483, 4), 17885, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12814, 387, F128, 4, 8) (dual of [(387, 4), 1534, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;514,128) [i]
- linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;512,128) [i]
- linear OOA(1288, 129, F128, 4, 8) (dual of [(129, 4), 508, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;508,128) [i]
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(12833, 4096, F128, 4, 17) (dual of [(4096, 4), 16351, 18]-NRT-code), using
- OOA 4-folding [i] based on 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]
- OOA 4-folding [i] based on linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using
- linear OOA(12814, 387, F128, 4, 8) (dual of [(387, 4), 1534, 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.