Information on Result #1012203
Linear OOA(4247, 2796277, F4, 3, 25) (dual of [(2796277, 3), 8388584, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(430, 76, F4, 3, 12) (dual of [(76, 3), 198, 13]-NRT-code), using
- extracting embedded OOA [i] based on digital (18, 30, 76)-net over F4, using
- trace code for nets [i] based on digital (3, 15, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- trace code for nets [i] based on digital (3, 15, 38)-net over F16, using
- extracting embedded OOA [i] based on digital (18, 30, 76)-net over F4, using
- linear OOA(4217, 2796201, F4, 3, 25) (dual of [(2796201, 3), 8388386, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4217, large, F4, 25) (dual of [large, large−217, 26]-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(4247, 2796277, F4, 3, 24) (dual of [(2796277, 3), 8388584, 25]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4248, 2796277, F4, 3, 25) (dual of [(2796277, 3), 8388583, 26]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(4247, 699069, F4, 27, 25) (dual of [(699069, 27), 18874616, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |