Information on Result #1812828
Digital (31, 63, 1723)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8163, 1723, F81, 3, 32) (dual of [(1723, 3), 5106, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8163, 2187, F81, 3, 32) (dual of [(2187, 3), 6498, 33]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8163, 6561, F81, 32) (dual of [6561, 6498, 33]-code), using
- an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- OOA 3-folding [i] based on linear OA(8163, 6561, F81, 32) (dual of [6561, 6498, 33]-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.