Information on Result #1209973
Digital (46, 56, 3287)-net over F4, using (u, u+v)-construction based on
- digital (1, 6, 9)-net over F4, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- net from sequence [i] based on digital (1, 8)-sequence over F4, using
- digital (40, 50, 3278)-net over F4, using
- net defined by OOA [i] based on linear OOA(450, 3278, F4, 10, 10) (dual of [(3278, 10), 32730, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(450, 16390, F4, 10) (dual of [16390, 16340, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(450, 16391, F4, 10) (dual of [16391, 16341, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(450, 16384, F4, 10) (dual of [16384, 16334, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(450, 16391, F4, 10) (dual of [16391, 16341, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(450, 16390, F4, 10) (dual of [16390, 16340, 11]-code), using
- net defined by OOA [i] based on linear OOA(450, 3278, F4, 10, 10) (dual of [(3278, 10), 32730, 11]-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.