Information on Result #1012085
Linear OOA(4203, 2796249, F4, 3, 21) (dual of [(2796249, 3), 8388544, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(422, 48, F4, 3, 10) (dual of [(48, 3), 122, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 22, 48)-net over F4, using
- trace code for nets [i] based on digital (1, 11, 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, 11, 24)-net over F16, using
- extracting embedded OOA [i] based on digital (12, 22, 48)-net over F4, using
- linear OOA(4181, 2796201, F4, 3, 21) (dual of [(2796201, 3), 8388422, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- OOA 3-folding [i] based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-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(4203, 2796249, F4, 3, 20) (dual of [(2796249, 3), 8388544, 21]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4204, 2796249, F4, 3, 21) (dual of [(2796249, 3), 8388543, 22]-NRT-code) | [i] | OOA Duplication | |