Information on Result #1814938
Digital (34, 64, 18474)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25664, 18474, F256, 3, 30) (dual of [(18474, 3), 55358, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25664, 21851, F256, 3, 30) (dual of [(21851, 3), 65489, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25664, 65553, F256, 30) (dual of [65553, 65489, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(23) [i] based on
- linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(2565, 17, F256, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- construction X applied to Ce(29) ⊂ Ce(23) [i] based on
- OOA 3-folding [i] based on linear OA(25664, 65553, F256, 30) (dual of [65553, 65489, 31]-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.