Information on Result #1011935
Linear OOA(4157, 2796441, F4, 3, 15) (dual of [(2796441, 3), 8389166, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(424, 240, F4, 3, 7) (dual of [(240, 3), 696, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (17, 24, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 8, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- trace code for nets [i] based on digital (1, 8, 80)-net over F64, using
- extracting embedded OOA [i] based on digital (17, 24, 240)-net over F4, using
- linear OOA(4133, 2796201, F4, 3, 15) (dual of [(2796201, 3), 8388470, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4133, large, F4, 15) (dual of [large, large−133, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(4133, large, F4, 15) (dual of [large, large−133, 16]-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.