Information on Result #1812548
Digital (24, 48, 2034)-net over F81, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(8148, 2034, F81, 3, 24) (dual of [(2034, 3), 6054, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8148, 2188, F81, 3, 24) (dual of [(2188, 3), 6516, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8148, 6564, F81, 24) (dual of [6564, 6516, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(8148, 6566, F81, 24) (dual of [6566, 6518, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- 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(8143, 6561, F81, 22) (dual of [6561, 6518, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(8148, 6566, F81, 24) (dual of [6566, 6518, 25]-code), using
- OOA 3-folding [i] based on linear OA(8148, 6564, F81, 24) (dual of [6564, 6516, 25]-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.