Information on Result #1213615
Digital (114, 128, 1198445)-net over F5, using (u, u+v)-construction based on
- digital (10, 17, 74)-net over F5, using
- net defined by OOA [i] based on linear OOA(517, 74, F5, 9, 7) (dual of [(74, 9), 649, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(517, 75, F5, 3, 7) (dual of [(75, 3), 208, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(53, 25, F5, 3, 2) (dual of [(25, 3), 72, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(53, 31, F5, 3, 2) (dual of [(31, 3), 90, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- appending 1 arbitrary column [i] based on linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(53, 31, F5, 3, 2) (dual of [(31, 3), 90, 3]-NRT-code), using
- linear OOA(54, 25, F5, 3, 3) (dual of [(25, 3), 71, 4]-NRT-code), using
- linear OOA(510, 25, F5, 3, 7) (dual of [(25, 3), 65, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 10, 25)-net over F5, using
- linear OOA(53, 25, F5, 3, 2) (dual of [(25, 3), 72, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(517, 75, F5, 3, 7) (dual of [(75, 3), 208, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(517, 74, F5, 9, 7) (dual of [(74, 9), 649, 8]-NRT-code), using
- digital (97, 111, 1198371)-net over F5, using
- net defined by OOA [i] based on linear OOA(5111, 1198371, F5, 14, 14) (dual of [(1198371, 14), 16777083, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(5111, 8388597, F5, 14) (dual of [8388597, 8388486, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(5111, large, F5, 14) (dual of [large, large−111, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(5111, large, F5, 14) (dual of [large, large−111, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(5111, 8388597, F5, 14) (dual of [8388597, 8388486, 15]-code), using
- net defined by OOA [i] based on linear OOA(5111, 1198371, F5, 14, 14) (dual of [(1198371, 14), 16777083, 15]-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.