Information on Result #1748698
Digital (46, 68, 2097151)-net over F256, using net defined by OOA based on linear OOA(25668, 2097151, F256, 30, 22) (dual of [(2097151, 30), 62914462, 23]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25668, 4194303, F256, 6, 22) (dual of [(4194303, 6), 25165750, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25668, 4194303, F256, 2, 22) (dual of [(4194303, 2), 8388538, 23]-NRT-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(25664, 4194301, F256, 2, 22) (dual of [(4194301, 2), 8388538, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25664, 8388602, F256, 22) (dual of [8388602, 8388538, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(25664, large, F256, 22) (dual of [large, large−64, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(25664, large, F256, 22) (dual of [large, large−64, 23]-code), using
- OOA 2-folding [i] based on linear OA(25664, 8388602, F256, 22) (dual of [8388602, 8388538, 23]-code), using
- 2 times NRT-code embedding in larger space [i] based on linear OOA(25664, 4194301, F256, 2, 22) (dual of [(4194301, 2), 8388538, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25668, 4194303, F256, 2, 22) (dual of [(4194303, 2), 8388538, 23]-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.