Information on Result #1748750
Digital (45, 68, 1441871)-net over F256, using net defined by OOA based on linear OOA(25668, 1441871, F256, 30, 23) (dual of [(1441871, 30), 43256062, 24]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25668, 2883743, F256, 6, 23) (dual of [(2883743, 6), 17302390, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25668, 2883743, F256, 2, 23) (dual of [(2883743, 2), 5767418, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25668, 4194301, F256, 2, 23) (dual of [(4194301, 2), 8388534, 24]-NRT-code), using
- 2561 times duplication [i] based on linear OOA(25667, 4194301, F256, 2, 23) (dual of [(4194301, 2), 8388535, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25667, 8388602, F256, 23) (dual of [8388602, 8388535, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(25667, large, F256, 23) (dual of [large, large−67, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(25667, large, F256, 23) (dual of [large, large−67, 24]-code), using
- OOA 2-folding [i] based on linear OA(25667, 8388602, F256, 23) (dual of [8388602, 8388535, 24]-code), using
- 2561 times duplication [i] based on linear OOA(25667, 4194301, F256, 2, 23) (dual of [(4194301, 2), 8388535, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25668, 4194301, F256, 2, 23) (dual of [(4194301, 2), 8388534, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25668, 2883743, F256, 2, 23) (dual of [(2883743, 2), 5767418, 24]-NRT-code), using
Mode: 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.