Information on Result #1204100
Digital (38, 64, 1270)-net over F128, using net defined by OOA based on linear OOA(12864, 1270, F128, 26, 26) (dual of [(1270, 26), 32956, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(12864, 16510, F128, 26) (dual of [16510, 16446, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(12864, 16513, F128, 26) (dual of [16513, 16449, 27]-code), using
- (u, u+v)-construction [i] based on
- linear OA(12813, 129, F128, 13) (dual of [129, 116, 14]-code or 129-arc in PG(12,128)), using
- extended Reed–Solomon code RSe(116,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(12813, 129, F128, 13) (dual of [129, 116, 14]-code or 129-arc in PG(12,128)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(12864, 16513, F128, 26) (dual of [16513, 16449, 27]-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.