Information on Result #1841567
(41, 63, 5959)-net in base 64, using net defined by OOA based on OOA(6463, 5959, S64, 22, 22), using
- OA 11-folding and stacking [i] based on OA(6463, 65549, S64, 22), using
- discarding factors based on OA(6463, 65550, S64, 22), using
- discarding parts of the base [i] based on linear OA(25647, 65550, F256, 22) (dual of [65550, 65503, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(25643, 65536, F256, 22) (dual of [65536, 65493, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2564, 14, F256, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- discarding parts of the base [i] based on linear OA(25647, 65550, F256, 22) (dual of [65550, 65503, 23]-code), using
- discarding factors based on OA(6463, 65550, S64, 22), 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.