Information on Result #1049551
Linear OOA(3134, 46, F3, 3, 112) (dual of [(46, 3), 4, 113]-NRT-code), using juxtaposition based on
- linear OOA(314, 6, F3, 3, 13) (dual of [(6, 3), 4, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(314, 7, F3, 3, 13) (dual of [(7, 3), 7, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [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(314, 7, F3, 3, 13) (dual of [(7, 3), 7, 14]-NRT-code), using
- linear OOA(3116, 40, F3, 3, 98) (dual of [(40, 3), 4, 99]-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(310, 4, F3, 3, 10) (dual of [(4, 3), 2, 11]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;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(3134, 46, F3, 3, 111) (dual of [(46, 3), 4, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3152, 52, F3, 3, 126) (dual of [(52, 3), 4, 127]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 3 | Linear OOA(3155, 53, F3, 3, 129) (dual of [(53, 3), 4, 130]-NRT-code) | [i] | ||