Information on Result #1012157
Linear OOA(4241, 2796441, F4, 3, 23) (dual of [(2796441, 3), 8389082, 24]-NRT-code), using (u, u+v)-construction based on
- linear OOA(436, 240, F4, 3, 11) (dual of [(240, 3), 684, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 36, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 12, 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, 12, 80)-net over F64, using
- extracting embedded OOA [i] based on digital (25, 36, 240)-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
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4244, 2796442, F4, 3, 23) (dual of [(2796442, 3), 8389082, 24]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(4242, 2796441, F4, 3, 23) (dual of [(2796441, 3), 8389081, 24]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4243, 2796441, F4, 3, 23) (dual of [(2796441, 3), 8389080, 24]-NRT-code) | [i] | ||