Information on Result #1195306
Digital (61, 77, 131073)-net over F16, using net defined by OOA based on linear OOA(1677, 131073, F16, 16, 16) (dual of [(131073, 16), 2097091, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(1677, 1048584, F16, 16) (dual of [1048584, 1048507, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1677, 1048587, F16, 16) (dual of [1048587, 1048510, 17]-code), using
- 1 times truncation [i] based on linear OA(1678, 1048588, F16, 17) (dual of [1048588, 1048510, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(162, 12, F16, 2) (dual of [12, 10, 3]-code or 12-arc in PG(1,16)), using
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- Reed–Solomon code RS(14,16) [i]
- discarding factors / shortening the dual code based on linear OA(162, 16, F16, 2) (dual of [16, 14, 3]-code or 16-arc in PG(1,16)), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- 1 times truncation [i] based on linear OA(1678, 1048588, F16, 17) (dual of [1048588, 1048510, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1677, 1048587, F16, 16) (dual of [1048587, 1048510, 17]-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.