Information on Result #1840615
(26, 42, 820)-net in base 27, using net defined by OOA based on OOA(2742, 820, S27, 16, 16), using
- OA 8-folding and stacking [i] based on OA(2742, 6560, S27, 16), using
- discarding factors based on OA(2742, 6563, S27, 16), using
- discarding parts of the base [i] based on linear OA(8131, 6563, F81, 16) (dual of [6563, 6532, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(8131, 6561, F81, 16) (dual of [6561, 6530, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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(15) ⊂ Ce(14) [i] based on
- discarding parts of the base [i] based on linear OA(8131, 6563, F81, 16) (dual of [6563, 6532, 17]-code), using
- discarding factors based on OA(2742, 6563, S27, 16), 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.