Information on Result #941734
Linear OOA(388, 46, F3, 2, 70) (dual of [(46, 2), 4, 71]-NRT-code), using juxtaposition based on
- linear OOA(38, 6, F3, 2, 7) (dual of [(6, 2), 4, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(38, 7, F3, 2, 7) (dual of [(7, 2), 6, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,6P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- discarding factors / shortening the dual code based on linear OOA(38, 7, F3, 2, 7) (dual of [(7, 2), 6, 8]-NRT-code), using
- linear OOA(376, 40, F3, 2, 62) (dual of [(40, 2), 4, 63]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- extended Reed–Solomon code RSe(2,9) [i]
- Simplex code S(2,9) [i]
- linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,3) [i]
- linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), 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(388, 46, F3, 2, 69) (dual of [(46, 2), 4, 70]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3100, 52, F3, 2, 78) (dual of [(52, 2), 4, 79]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 3 | Linear OOA(3102, 53, F3, 2, 80) (dual of [(53, 2), 4, 81]-NRT-code) | [i] | ||
| 4 | Linear OOA(388, 23, F3, 4, 70) (dual of [(23, 4), 4, 71]-NRT-code) | [i] | OOA Folding | |