Information on Result #1203834
Digital (49, 68, 233102)-net over F128, using net defined by OOA based on linear OOA(12868, 233102, F128, 21, 19) (dual of [(233102, 21), 4895074, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12868, 699307, F128, 3, 19) (dual of [(699307, 3), 2097853, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12868, 699309, F128, 3, 19) (dual of [(699309, 3), 2097859, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12813, 258, F128, 3, 9) (dual of [(258, 3), 761, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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(1284, 129, F128, 3, 4) (dual of [(129, 3), 383, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12855, 699051, F128, 3, 19) (dual of [(699051, 3), 2097098, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12855, 2097153, F128, 19) (dual of [2097153, 2097098, 20]-code), using
- linear OOA(12813, 258, F128, 3, 9) (dual of [(258, 3), 761, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12868, 699309, F128, 3, 19) (dual of [(699309, 3), 2097859, 20]-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.