Information on Result #1195500
Digital (70, 91, 13110)-net over F16, using net defined by OOA based on linear OOA(1691, 13110, F16, 21, 21) (dual of [(13110, 21), 275219, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(1691, 131101, F16, 21) (dual of [131101, 131010, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1690, 131100, F16, 21) (dual of [131100, 131010, 22]-code), using
- trace code [i] based on linear OA(25645, 65550, F256, 21) (dual of [65550, 65505, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(2564, 14, F256, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- construction X applied to Ce(20) ⊂ Ce(15) [i] based on
- trace code [i] based on linear OA(25645, 65550, F256, 21) (dual of [65550, 65505, 22]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1690, 131100, F16, 21) (dual of [131100, 131010, 22]-code), using
Mode: Constructive and 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.