Information on Result #2627782
Linear OOA(3228, 92, F3, 3, 127) (dual of [(92, 3), 48, 128]-NRT-code), using strength reduction based on linear OOA(3228, 92, F3, 3, 128) (dual of [(92, 3), 48, 129]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(945, 23, F9, 3, 42) (dual of [(23, 3), 24, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(945, 28, F9, 3, 42) (dual of [(28, 3), 39, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,41P) [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(3;F,41P) [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(945, 28, F9, 3, 42) (dual of [(28, 3), 39, 43]-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]
- linear OOA(945, 23, F9, 3, 42) (dual of [(23, 3), 24, 43]-NRT-code), using
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(3227, 91, F3, 3, 126) (dual of [(91, 3), 46, 127]-NRT-code) | [i] | Truncation for OOAs | |