Information on Result #1118661
Linear OOA(25627, 2097408, F256, 5, 8) (dual of [(2097408, 5), 10487013, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2565, 258, F256, 5, 4) (dual of [(258, 5), 1285, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 5, 258)-net over F256, using
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- appending 1 arbitrary column [i] based on linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using
- linear OOA(25622, 2097150, F256, 5, 8) (dual of [(2097150, 5), 10485728, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(25622, 8388600, F256, 8) (dual of [8388600, 8388578, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(25622, large, F256, 8) (dual of [large, large−22, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(25622, 8388600, F256, 8) (dual of [8388600, 8388578, 9]-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.
Other Results with Identical Parameters
None.
Depending Results
None.