Information on Result #1748528
Digital (40, 59, 2315913)-net over F256, using net defined by OOA based on linear OOA(25659, 2315913, F256, 25, 19) (dual of [(2315913, 25), 57897766, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25659, 4631827, F256, 5, 19) (dual of [(4631827, 5), 23159076, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25659, 4631828, F256, 5, 19) (dual of [(4631828, 5), 23159081, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25659, 4631828, F256, 19) (dual of [4631828, 4631769, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25659, large, F256, 19) (dual of [large, large−59, 20]-code), using
- 4 times code embedding in larger space [i] 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]
- 4 times code embedding in larger space [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25659, large, F256, 19) (dual of [large, large−59, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25659, 4631828, F256, 19) (dual of [4631828, 4631769, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(25659, 4631828, F256, 5, 19) (dual of [(4631828, 5), 23159081, 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.