Information on Result #1840655
(54, 87, 410)-net in base 27, using net defined by OOA based on OOA(2787, 410, S27, 33, 33), using
- OOA 16-folding and stacking with additional row [i] based on OA(2787, 6561, S27, 33), using
- discarding factors based on OA(2787, 6563, S27, 33), using
- discarding parts of the base [i] based on linear OA(8165, 6563, F81, 33) (dual of [6563, 6498, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(31) [i] based on
- linear OA(8165, 6561, F81, 33) (dual of [6561, 6496, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 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]
- 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(32) ⊂ Ce(31) [i] based on
- discarding parts of the base [i] based on linear OA(8165, 6563, F81, 33) (dual of [6563, 6498, 34]-code), using
- discarding factors based on OA(2787, 6563, S27, 33), 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.