Information on Result #1203398
Digital (39, 51, 1398164)-net over F128, using net defined by OOA based on linear OOA(12851, 1398164, F128, 15, 12) (dual of [(1398164, 15), 20972409, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12851, 2796329, F128, 3, 12) (dual of [(2796329, 3), 8388936, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12851, 2796330, F128, 3, 12) (dual of [(2796330, 3), 8388939, 13]-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(12845, 2796201, F128, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-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(12851, 2796330, F128, 3, 12) (dual of [(2796330, 3), 8388939, 13]-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.