Information on Result #1719814
Digital (231, 258, 1048840)-net over F4, using net defined by OOA based on linear OOA(4258, 1048840, F4, 33, 27) (dual of [(1048840, 33), 34611462, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4258, 5244201, F4, 3, 27) (dual of [(5244201, 3), 15732345, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4258, 5244205, F4, 3, 27) (dual of [(5244205, 3), 15732357, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4258, 5244205, F4, 27) (dual of [5244205, 5243947, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4258, large, F4, 27) (dual of [large, large−258, 28]-code), using
- 17 times code embedding in larger space [i] based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- 17 times code embedding in larger space [i] based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4258, large, F4, 27) (dual of [large, large−258, 28]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4258, 5244205, F4, 27) (dual of [5244205, 5243947, 28]-code), using
- discarding factors / shortening the dual code based on linear OOA(4258, 5244205, F4, 3, 27) (dual of [(5244205, 3), 15732357, 28]-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.