Information on Result #1210862
Digital (126, 146, 26223)-net over F4, using (u, u+v)-construction based on
- digital (1, 11, 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 (115, 135, 26214)-net over F4, using
- net defined by OOA [i] based on linear OOA(4135, 26214, F4, 20, 20) (dual of [(26214, 20), 524145, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(4135, 262140, F4, 20) (dual of [262140, 262005, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4135, 262143, F4, 20) (dual of [262143, 262008, 21]-code), using
- 1 times truncation [i] based on linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 1 times truncation [i] based on linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4135, 262143, F4, 20) (dual of [262143, 262008, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(4135, 262140, F4, 20) (dual of [262140, 262005, 21]-code), using
- net defined by OOA [i] based on linear OOA(4135, 26214, F4, 20, 20) (dual of [(26214, 20), 524145, 21]-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.