Information on Result #1226541
Digital (26, 41, 492)-net over F49, using (u, u+v)-construction based on
- digital (5, 12, 149)-net over F49, using
- net defined by OOA [i] based on linear OOA(4912, 149, F49, 9, 7) (dual of [(149, 9), 1329, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(4912, 150, F49, 3, 7) (dual of [(150, 3), 438, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(492, 50, F49, 3, 2) (dual of [(50, 3), 148, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;148,49) [i]
- linear OOA(493, 50, F49, 3, 3) (dual of [(50, 3), 147, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;147,49) [i]
- linear OOA(497, 50, F49, 3, 7) (dual of [(50, 3), 143, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;143,49) [i]
- linear OOA(492, 50, F49, 3, 2) (dual of [(50, 3), 148, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(4912, 150, F49, 3, 7) (dual of [(150, 3), 438, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(4912, 149, F49, 9, 7) (dual of [(149, 9), 1329, 8]-NRT-code), using
- digital (14, 29, 343)-net over F49, using
- net defined by OOA [i] based on linear OOA(4929, 343, F49, 15, 15) (dual of [(343, 15), 5116, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(4929, 2402, F49, 15) (dual of [2402, 2373, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- OOA 7-folding and stacking with additional row [i] based on linear OA(4929, 2402, F49, 15) (dual of [2402, 2373, 16]-code), using
- net defined by OOA [i] based on linear OOA(4929, 343, F49, 15, 15) (dual of [(343, 15), 5116, 16]-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.