Information on Result #1748924
Digital (38, 66, 14457)-net over F256, using net defined by OOA based on linear OOA(25666, 14457, F256, 35, 28) (dual of [(14457, 35), 505929, 29]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25666, 43372, F256, 5, 28) (dual of [(43372, 5), 216794, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25666, 43374, F256, 5, 28) (dual of [(43374, 5), 216804, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25666, 43374, F256, 28) (dual of [43374, 43308, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(25666, 65571, F256, 28) (dual of [65571, 65505, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(15) [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(25631, 65536, F256, 16) (dual of [65536, 65505, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(25611, 35, F256, 11) (dual of [35, 24, 12]-code or 35-arc in PG(10,256)), using
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- Reed–Solomon code RS(245,256) [i]
- discarding factors / shortening the dual code based on linear OA(25611, 256, F256, 11) (dual of [256, 245, 12]-code or 256-arc in PG(10,256)), using
- construction X applied to Ce(27) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(25666, 65571, F256, 28) (dual of [65571, 65505, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(25666, 43374, F256, 28) (dual of [43374, 43308, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(25666, 43374, F256, 5, 28) (dual of [(43374, 5), 216804, 29]-NRT-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.