Information on Result #1840425
(39, 54, 4681)-net in base 16, using net defined by OOA based on OOA(1654, 4681, S16, 15, 15), using
- OOA 7-folding and stacking with additional row [i] based on OA(1654, 32768, S16, 15), using
- discarding factors based on OA(1654, 32771, S16, 15), using
- discarding parts of the base [i] based on linear OA(3243, 32771, F32, 15) (dual of [32771, 32728, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(3243, 32768, F32, 15) (dual of [32768, 32725, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(3240, 32768, F32, 14) (dual of [32768, 32728, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- discarding parts of the base [i] based on linear OA(3243, 32771, F32, 15) (dual of [32771, 32728, 16]-code), using
- discarding factors based on OA(1654, 32771, S16, 15), 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.