Information on Result #1812671
Digital (27, 55, 1661)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8155, 1661, F81, 3, 28) (dual of [(1661, 3), 4928, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8155, 2187, F81, 3, 28) (dual of [(2187, 3), 6506, 29]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- OOA 3-folding [i] based on linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-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.