Information on Result #941667
Linear OOA(2248, 126, F2, 2, 166) (dual of [(126, 2), 4, 167]-NRT-code), using juxtaposition based on
- linear OOA(28, 6, F2, 2, 6) (dual of [(6, 2), 4, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,5P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- linear OOA(2236, 120, F2, 2, 159) (dual of [(120, 2), 4, 160]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(438, 40, F4, 31) (dual of [40, 2, 32]-code), using
- repeating each code word 8 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 8 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- linear OOA(24, 3, F2, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,2) [i]
- linear OA(438, 40, F4, 31) (dual of [40, 2, 32]-code), using
- concatenation of two NRT-codes [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(2248, 126, F2, 2, 165) (dual of [(126, 2), 4, 166]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2245, 124, F2, 2, 163) (dual of [(124, 2), 3, 164]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2238, 121, F2, 2, 156) (dual of [(121, 2), 4, 157]-NRT-code) | [i] | ||
| 4 | Linear OOA(2235, 119, F2, 2, 153) (dual of [(119, 2), 3, 154]-NRT-code) | [i] | ||
| 5 | Linear OOA(2234, 119, F2, 2, 152) (dual of [(119, 2), 4, 153]-NRT-code) | [i] | ||
| 6 | Linear OOA(2232, 118, F2, 2, 150) (dual of [(118, 2), 4, 151]-NRT-code) | [i] | ||
| 7 | Linear OOA(2228, 116, F2, 2, 146) (dual of [(116, 2), 4, 147]-NRT-code) | [i] | ||
| 8 | Linear OOA(2248, 63, F2, 4, 166) (dual of [(63, 4), 4, 167]-NRT-code) | [i] | OOA Folding | |