Information on Result #2687842
Linear OOA(4230, 2796249, F4, 3, 23) (dual of [(2796249, 3), 8388517, 24]-NRT-code), using 41 times duplication based on linear OOA(4229, 2796249, F4, 3, 23) (dual of [(2796249, 3), 8388518, 24]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(424, 48, F4, 3, 11) (dual of [(48, 3), 120, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 24, 48)-net over F4, using
- trace code for nets [i] based on digital (1, 12, 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
- trace code for nets [i] based on digital (1, 12, 24)-net over F16, using
- extracting embedded OOA [i] based on digital (13, 24, 48)-net over F4, using
- linear OOA(4205, 2796201, F4, 3, 23) (dual of [(2796201, 3), 8388398, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- OOA 3-folding [i] based on linear OA(4205, large, F4, 23) (dual of [large, large−205, 24]-code), using
- linear OOA(424, 48, F4, 3, 11) (dual of [(48, 3), 120, 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.
Other Results with Identical Parameters
None.
Depending Results
None.