Information on Result #916036
Linear OOA(3146, 84, F3, 2, 86) (dual of [(84, 2), 22, 87]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(931, 21, F9, 2, 28) (dual of [(21, 2), 11, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(931, 28, F9, 2, 28) (dual of [(28, 2), 25, 29]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,27P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(931, 28, F9, 2, 28) (dual of [(28, 2), 25, 29]-NRT-code), using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
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(3145, 83, F3, 2, 85) (dual of [(83, 2), 21, 86]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(3144, 83, F3, 2, 84) (dual of [(83, 2), 22, 85]-NRT-code) | [i] | ||
| 3 | Linear OOA(3143, 82, F3, 2, 83) (dual of [(82, 2), 21, 84]-NRT-code) | [i] | ||
| 4 | Linear OOA(3142, 82, F3, 2, 82) (dual of [(82, 2), 22, 83]-NRT-code) | [i] | ||
| 5 | Linear OOA(3146, 42, F3, 4, 86) (dual of [(42, 4), 22, 87]-NRT-code) | [i] | OOA Folding | |