Information on Result #1748524
Digital (37, 56, 1789688)-net over F256, using net defined by OOA based on linear OOA(25656, 1789688, F256, 25, 19) (dual of [(1789688, 25), 44742144, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25656, 3579377, F256, 5, 19) (dual of [(3579377, 5), 17896829, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25656, 3579378, F256, 5, 19) (dual of [(3579378, 5), 17896834, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25656, 3579378, F256, 2, 19) (dual of [(3579378, 2), 7158700, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25656, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388546, 20]-NRT-code), using
- 2561 times duplication [i] based on linear OOA(25655, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- 2561 times duplication [i] based on linear OOA(25655, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25656, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388546, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25656, 3579378, F256, 2, 19) (dual of [(3579378, 2), 7158700, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25656, 3579378, F256, 5, 19) (dual of [(3579378, 5), 17896834, 20]-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.