Information on Result #1709280
Digital (42, 57, 110)-net over F2, using net defined by OOA based on linear OOA(257, 110, F2, 21, 15) (dual of [(110, 21), 2253, 16]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(257, 111, F2, 7, 15) (dual of [(111, 7), 720, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(257, 111, F2, 2, 15) (dual of [(111, 2), 165, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(257, 128, F2, 2, 15) (dual of [(128, 2), 199, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(257, 256, F2, 15) (dual of [256, 199, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 2-folding [i] based on linear OA(257, 256, F2, 15) (dual of [256, 199, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(257, 128, F2, 2, 15) (dual of [(128, 2), 199, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(257, 111, F2, 2, 15) (dual of [(111, 2), 165, 16]-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.