Information on Result #1030611
Linear OOA(3182, 68, F3, 3, 116) (dual of [(68, 3), 22, 117]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(940, 17, F9, 3, 38) (dual of [(17, 3), 11, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(940, 20, F9, 3, 38) (dual of [(20, 3), 20, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,21P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(940, 20, F9, 3, 38) (dual of [(20, 3), 20, 39]-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(3182, 68, F3, 3, 115) (dual of [(68, 3), 22, 116]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3180, 67, F3, 3, 114) (dual of [(67, 3), 21, 115]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3179, 67, F3, 3, 113) (dual of [(67, 3), 22, 114]-NRT-code) | [i] | ||