Information on Result #1814940
Digital (36, 64, 32782)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25664, 32782, F256, 2, 28) (dual of [(32782, 2), 65500, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25664, 65564, F256, 28) (dual of [65564, 65500, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(25664, 65565, F256, 28) (dual of [65565, 65501, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(17) [i] based on
- linear OA(25655, 65536, F256, 28) (dual of [65536, 65481, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2569, 29, F256, 9) (dual of [29, 20, 10]-code or 29-arc in PG(8,256)), using
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- Reed–Solomon code RS(247,256) [i]
- discarding factors / shortening the dual code based on linear OA(2569, 256, F256, 9) (dual of [256, 247, 10]-code or 256-arc in PG(8,256)), using
- construction X applied to Ce(27) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(25664, 65565, F256, 28) (dual of [65565, 65501, 29]-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.