Information on Result #1707682
Digital (40, 49, 1365)-net over F2, using net defined by OOA based on linear OOA(249, 1365, F2, 9, 9) (dual of [(1365, 9), 12236, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(249, 1365, F2, 8, 9) (dual of [(1365, 8), 10871, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(249, 1365, F2, 3, 9) (dual of [(1365, 3), 4046, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(249, 4095, F2, 9) (dual of [4095, 4046, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(249, 4096, F2, 9) (dual of [4096, 4047, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(249, 4096, F2, 9) (dual of [4096, 4047, 10]-code), using
- OOA 3-folding [i] based on linear OA(249, 4095, F2, 9) (dual of [4095, 4046, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(249, 1365, F2, 3, 9) (dual of [(1365, 3), 4046, 10]-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.