Information on Result #941739
Linear OOA(3168, 86, F3, 2, 133) (dual of [(86, 2), 4, 134]-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(3156, 80, F3, 2, 125) (dual of [(80, 2), 4, 126]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(918, 20, F9, 17) (dual of [20, 2, 18]-code), using
- repeating each code word 2 times [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]
- repeating each code word 2 times [i] based on linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- 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(918, 20, F9, 17) (dual of [20, 2, 18]-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(3168, 86, F3, 2, 132) (dual of [(86, 2), 4, 133]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3180, 92, F3, 2, 141) (dual of [(92, 2), 4, 142]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 3 | Linear OOA(3182, 93, F3, 2, 143) (dual of [(93, 2), 4, 144]-NRT-code) | [i] | ||
| 4 | Linear OOA(3168, 43, F3, 4, 133) (dual of [(43, 4), 4, 134]-NRT-code) | [i] | OOA Folding | |