Information on Result #1748436
Digital (36, 53, 2810354)-net over F256, using net defined by OOA based on linear OOA(25653, 2810354, F256, 20, 17) (dual of [(2810354, 20), 56207027, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25653, 5620709, F256, 4, 17) (dual of [(5620709, 4), 22482783, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25653, 5620710, F256, 4, 17) (dual of [(5620710, 4), 22482787, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25653, 5620710, F256, 17) (dual of [5620710, 5620657, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25653, large, F256, 17) (dual of [large, large−53, 18]-code), using
- 4 times code embedding in larger space [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 4 times code embedding in larger space [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25653, large, F256, 17) (dual of [large, large−53, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25653, 5620710, F256, 17) (dual of [5620710, 5620657, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(25653, 5620710, F256, 4, 17) (dual of [(5620710, 4), 22482787, 18]-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.