Information on Result #1228875
Digital (38, 53, 1198885)-net over F256, using (u, u+v)-construction based on
- digital (3, 10, 514)-net over F256, using
- net defined by OOA [i] based on linear OOA(25610, 514, F256, 7, 7) (dual of [(514, 7), 3588, 8]-NRT-code), using
- appending kth column [i] based on linear OOA(25610, 514, F256, 6, 7) (dual of [(514, 6), 3074, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 6, 3) (dual of [(257, 6), 1539, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;1539,256) [i]
- linear OOA(2567, 257, F256, 6, 7) (dual of [(257, 6), 1535, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;1535,256) [i]
- linear OOA(2563, 257, F256, 6, 3) (dual of [(257, 6), 1539, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(25610, 514, F256, 6, 7) (dual of [(514, 6), 3074, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(25610, 514, F256, 7, 7) (dual of [(514, 7), 3588, 8]-NRT-code), using
- digital (28, 43, 1198371)-net over F256, using
- net defined by OOA [i] based on linear OOA(25643, 1198371, F256, 15, 15) (dual of [(1198371, 15), 17975522, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(25643, 8388598, F256, 15) (dual of [8388598, 8388555, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(25643, 8388598, F256, 15) (dual of [8388598, 8388555, 16]-code), using
- net defined by OOA [i] based on linear OOA(25643, 1198371, F256, 15, 15) (dual of [(1198371, 15), 17975522, 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.