Information on Result #1218784
Digital (37, 48, 26239)-net over F16, using (u, u+v)-construction based on
- digital (1, 6, 24)-net over F16, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- digital (31, 42, 26215)-net over F16, using
- net defined by OOA [i] based on linear OOA(1642, 26215, F16, 11, 11) (dual of [(26215, 11), 288323, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(1642, 131076, F16, 11) (dual of [131076, 131034, 12]-code), using
- trace code [i] based on linear OA(25621, 65538, F256, 11) (dual of [65538, 65517, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(25619, 65536, F256, 10) (dual of [65536, 65517, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- trace code [i] based on linear OA(25621, 65538, F256, 11) (dual of [65538, 65517, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(1642, 131076, F16, 11) (dual of [131076, 131034, 12]-code), using
- net defined by OOA [i] based on linear OOA(1642, 26215, F16, 11, 11) (dual of [(26215, 11), 288323, 12]-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.