Information on Result #1203350
Digital (47, 58, 2796200)-net over F128, using net defined by OOA based on linear OOA(12858, 2796200, F128, 14, 11) (dual of [(2796200, 14), 39146742, 12]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(12858, 8388601, F128, 2, 11) (dual of [(8388601, 2), 16777144, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12858, 8388602, F128, 2, 11) (dual of [(8388602, 2), 16777146, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12817, 4194301, F128, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12817, 8388602, F128, 5) (dual of [8388602, 8388585, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(12817, large, F128, 5) (dual of [large, large−17, 6]-code), using
- OOA 2-folding [i] based on linear OA(12817, 8388602, F128, 5) (dual of [8388602, 8388585, 6]-code), using
- linear OOA(12841, 4194301, F128, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12841, 8388602, F128, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(12841, large, F128, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12841, large, F128, 11) (dual of [large, large−41, 12]-code), using
- OOA 2-folding [i] based on linear OA(12841, 8388602, F128, 11) (dual of [8388602, 8388561, 12]-code), using
- linear OOA(12817, 4194301, F128, 2, 5) (dual of [(4194301, 2), 8388585, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(12858, 8388602, F128, 2, 11) (dual of [(8388602, 2), 16777146, 12]-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.