Information on Result #1719646
Digital (227, 253, 1370566)-net over F4, using net defined by OOA based on linear OOA(4253, 1370566, F4, 33, 26) (dual of [(1370566, 33), 45228425, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4253, 6852831, F4, 3, 26) (dual of [(6852831, 3), 20558240, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4253, 6852834, F4, 3, 26) (dual of [(6852834, 3), 20558249, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4253, 6852834, F4, 26) (dual of [6852834, 6852581, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 26) (dual of [large, large−253, 27]-code), using
- strength reduction [i] based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- strength reduction [i] based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 26) (dual of [large, large−253, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4253, 6852834, F4, 26) (dual of [6852834, 6852581, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(4253, 6852834, F4, 3, 26) (dual of [(6852834, 3), 20558249, 27]-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.