Information on Result #912198
Linear OOA(3152, 78, F3, 2, 114) (dual of [(78, 2), 4, 115]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(924, 26, F9, 22) (dual of [26, 2, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(924, 27, F9, 22) (dual of [27, 3, 23]-code), using
- algebraic-geometric code AG(F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
- discarding factors / shortening the dual code based on linear OA(924, 27, F9, 22) (dual of [27, 3, 23]-code), using
- linear OOA(34, 3, F3, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;2,3) [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(3152, 78, F3, 2, 113) (dual of [(78, 2), 4, 114]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3152, 78, F3, 2, 112) (dual of [(78, 2), 4, 113]-NRT-code) | [i] | ||