Information on Result #1711912
Digital (224, 256, 5192)-net over F2, using net defined by OOA based on linear OOA(2256, 5192, F2, 40, 32) (dual of [(5192, 40), 207424, 33]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2256, 10385, F2, 8, 32) (dual of [(10385, 8), 82824, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2256, 10385, F2, 6, 32) (dual of [(10385, 6), 62054, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2256, 10922, F2, 6, 32) (dual of [(10922, 6), 65276, 33]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2256, 65532, F2, 32) (dual of [65532, 65276, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(2256, 65536, F2, 32) (dual of [65536, 65280, 33]-code), using
- 1 times truncation [i] based on linear OA(2257, 65537, F2, 33) (dual of [65537, 65280, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2257, 65537, F2, 33) (dual of [65537, 65280, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(2256, 65536, F2, 32) (dual of [65536, 65280, 33]-code), using
- OOA 6-folding [i] based on linear OA(2256, 65532, F2, 32) (dual of [65532, 65276, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(2256, 10922, F2, 6, 32) (dual of [(10922, 6), 65276, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2256, 10385, F2, 6, 32) (dual of [(10385, 6), 62054, 33]-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.