Information on Result #1203476
Digital (30, 43, 349589)-net over F128, using net defined by OOA based on linear OOA(12843, 349589, F128, 15, 13) (dual of [(349589, 15), 5243792, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12843, 699179, F128, 3, 13) (dual of [(699179, 3), 2097494, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12843, 699180, F128, 3, 13) (dual of [(699180, 3), 2097497, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1286, 129, F128, 3, 6) (dual of [(129, 3), 381, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;381,128) [i]
- linear OOA(12837, 699051, F128, 3, 13) (dual of [(699051, 3), 2097116, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12837, 2097153, F128, 13) (dual of [2097153, 2097116, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(12837, 2097153, F128, 13) (dual of [2097153, 2097116, 14]-code), using
- linear OOA(1286, 129, F128, 3, 6) (dual of [(129, 3), 381, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12843, 699180, F128, 3, 13) (dual of [(699180, 3), 2097497, 14]-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.