Information on Result #1734392
Digital (52, 68, 32773)-net over F16, using net defined by OOA based on linear OOA(1668, 32773, F16, 18, 16) (dual of [(32773, 18), 589846, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(1668, 131093, F16, 2, 16) (dual of [(131093, 2), 262118, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1668, 131094, F16, 2, 16) (dual of [(131094, 2), 262120, 17]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1668, 131094, F16, 16) (dual of [131094, 131026, 17]-code), using
- trace code [i] based on linear OA(25634, 65547, F256, 16) (dual of [65547, 65513, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- 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(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2563, 11, F256, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,256) or 11-cap in PG(2,256)), using
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- Reed–Solomon code RS(253,256) [i]
- discarding factors / shortening the dual code based on linear OA(2563, 256, F256, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
- construction X applied to Ce(15) ⊂ Ce(11) [i] based on
- trace code [i] based on linear OA(25634, 65547, F256, 16) (dual of [65547, 65513, 17]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1668, 131094, F16, 16) (dual of [131094, 131026, 17]-code), using
- discarding factors / shortening the dual code based on linear OOA(1668, 131094, F16, 2, 16) (dual of [(131094, 2), 262120, 17]-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.