Information on Result #1748988
Digital (36, 68, 5748)-net over F256, using net defined by OOA based on linear OOA(25668, 5748, F256, 42, 32) (dual of [(5748, 42), 241348, 33]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25668, 17245, F256, 6, 32) (dual of [(17245, 6), 103402, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25668, 17246, F256, 6, 32) (dual of [(17246, 6), 103408, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25668, 17246, F256, 3, 32) (dual of [(17246, 3), 51670, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25668, 21851, F256, 3, 32) (dual of [(21851, 3), 65485, 33]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25668, 65553, F256, 32) (dual of [65553, 65485, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(25) [i] based on
- linear OA(25663, 65536, F256, 32) (dual of [65536, 65473, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(25651, 65536, F256, 26) (dual of [65536, 65485, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(31) ⊂ Ce(25) [i] based on
- OOA 3-folding [i] based on linear OA(25668, 65553, F256, 32) (dual of [65553, 65485, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(25668, 21851, F256, 3, 32) (dual of [(21851, 3), 65485, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25668, 17246, F256, 3, 32) (dual of [(17246, 3), 51670, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25668, 17246, F256, 6, 32) (dual of [(17246, 6), 103408, 33]-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.