Information on Result #1012121
Linear OOA(4225, 2796299, F4, 3, 22) (dual of [(2796299, 3), 8388672, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(432, 98, F4, 3, 11) (dual of [(98, 3), 262, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (21, 32, 98)-net over F4, using
- trace code for nets [i] based on digital (5, 16, 49)-net over F16, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
- trace code for nets [i] based on digital (5, 16, 49)-net over F16, using
- extracting embedded OOA [i] based on digital (21, 32, 98)-net over F4, using
- linear OOA(4193, 2796201, F4, 3, 22) (dual of [(2796201, 3), 8388410, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- OOA 3-folding [i] based on linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-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.
Other Results with Identical Parameters
None.
Depending Results
None.