Information on Result #1208420
Digital (137, 154, 199299)-net over F3, using (u, u+v)-construction based on
- digital (2, 10, 8)-net over F3, using
- net from sequence [i] based on digital (2, 7)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, using
- net from sequence [i] based on digital (2, 7)-sequence over F3, using
- digital (127, 144, 199291)-net over F3, using
- net defined by OOA [i] based on linear OOA(3144, 199291, F3, 17, 17) (dual of [(199291, 17), 3387803, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(3144, 1594329, F3, 17) (dual of [1594329, 1594185, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3144, 1594336, F3, 17) (dual of [1594336, 1594192, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(3144, 1594323, F3, 17) (dual of [1594323, 1594179, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(3144, 1594336, F3, 17) (dual of [1594336, 1594192, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(3144, 1594329, F3, 17) (dual of [1594329, 1594185, 18]-code), using
- net defined by OOA [i] based on linear OOA(3144, 199291, F3, 17, 17) (dual of [(199291, 17), 3387803, 18]-NRT-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.