Information on Result #1011999
Linear OOA(4179, 2796267, F4, 3, 18) (dual of [(2796267, 3), 8388622, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(422, 66, F4, 3, 9) (dual of [(66, 3), 176, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 22, 66)-net over F4, using
- trace code for nets [i] based on digital (2, 11, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- trace code for nets [i] based on digital (2, 11, 33)-net over F16, using
- extracting embedded OOA [i] based on digital (13, 22, 66)-net over F4, using
- linear OOA(4157, 2796201, F4, 3, 18) (dual of [(2796201, 3), 8388446, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-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(4180, 2796267, F4, 3, 18) (dual of [(2796267, 3), 8388621, 19]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(4179, 932088, F4, 21, 18) (dual of [(932088, 21), 19573669, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |