Information on Result #1081356
Linear OOA(3250, 2391541, F3, 4, 19) (dual of [(2391541, 4), 9565914, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(324, 56, F3, 4, 9) (dual of [(56, 4), 200, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (15, 24, 56)-net over F3, using
- trace code for nets [i] based on digital (3, 12, 28)-net over F9, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- trace code for nets [i] based on digital (3, 12, 28)-net over F9, using
- extracting embedded OOA [i] based on digital (15, 24, 56)-net over F3, using
- linear OOA(3226, 2391485, F3, 4, 19) (dual of [(2391485, 4), 9565714, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3226, 4782970, F3, 2, 19) (dual of [(4782970, 2), 9565714, 20]-NRT-code), using
- trace code [i] based on linear OOA(9113, 2391485, F9, 2, 19) (dual of [(2391485, 2), 4782857, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4782970 | 914−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(9113, 4782970, F9, 19) (dual of [4782970, 4782857, 20]-code), using
- trace code [i] based on linear OOA(9113, 2391485, F9, 2, 19) (dual of [(2391485, 2), 4782857, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3226, 4782970, F3, 2, 19) (dual of [(4782970, 2), 9565714, 20]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3249, 2391540, F3, 4, 18) (dual of [(2391540, 4), 9565911, 19]-NRT-code) | [i] | Truncation for OOAs | |