Information on Result #1189142
Digital (122, 139, 1048576)-net over F5, using net defined by OOA based on linear OOA(5139, 1048576, F5, 18, 17) (dual of [(1048576, 18), 18874229, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5139, 4194305, F5, 2, 17) (dual of [(4194305, 2), 8388471, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5139, 4194307, F5, 2, 17) (dual of [(4194307, 2), 8388475, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(58, 6, F5, 2, 8) (dual of [(6, 2), 4, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;4,5) [i]
- linear OOA(5131, 4194301, F5, 2, 17) (dual of [(4194301, 2), 8388471, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5131, 8388602, F5, 17) (dual of [8388602, 8388471, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(5131, large, F5, 17) (dual of [large, large−131, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(5131, large, F5, 17) (dual of [large, large−131, 18]-code), using
- OOA 2-folding [i] based on linear OA(5131, 8388602, F5, 17) (dual of [8388602, 8388471, 18]-code), using
- linear OOA(58, 6, F5, 2, 8) (dual of [(6, 2), 4, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(5139, 4194307, F5, 2, 17) (dual of [(4194307, 2), 8388475, 18]-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.