Information on Result #1211833
Digital (221, 260, 3471)-net over F4, using (u, u+v)-construction based on
- digital (7, 26, 21)-net over F4, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 7 and N(F) ≥ 21, using
- net from sequence [i] based on digital (7, 20)-sequence over F4, using
- digital (195, 234, 3450)-net over F4, using
- net defined by OOA [i] based on linear OOA(4234, 3450, F4, 39, 39) (dual of [(3450, 39), 134316, 40]-NRT-code), using
- OOA 19-folding and stacking with additional row [i] based on linear OA(4234, 65551, F4, 39) (dual of [65551, 65317, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(4234, 65553, F4, 39) (dual of [65553, 65319, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(36) [i] based on
- linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(41, 17, F4, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(38) ⊂ Ce(36) [i] based on
- discarding factors / shortening the dual code based on linear OA(4234, 65553, F4, 39) (dual of [65553, 65319, 40]-code), using
- OOA 19-folding and stacking with additional row [i] based on linear OA(4234, 65551, F4, 39) (dual of [65551, 65317, 40]-code), using
- net defined by OOA [i] based on linear OOA(4234, 3450, F4, 39, 39) (dual of [(3450, 39), 134316, 40]-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.