Information on Result #1840637
(41, 66, 546)-net in base 27, using net defined by OOA based on OOA(2766, 546, S27, 25, 25), using
- OOA 12-folding and stacking with additional row [i] based on OA(2766, 6553, S27, 25), using
- discarding factors based on OA(2766, 6563, S27, 25), using
- discarding parts of the base [i] based on linear OA(8149, 6563, F81, 25) (dual of [6563, 6514, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(8149, 6561, F81, 25) (dual of [6561, 6512, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(8147, 6561, F81, 24) (dual of [6561, 6514, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- discarding parts of the base [i] based on linear OA(8149, 6563, F81, 25) (dual of [6563, 6514, 26]-code), using
- discarding factors based on OA(2766, 6563, S27, 25), using
Mode: Constructive.
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.