Information on Result #2628906
Linear OOA(3246, 92, F3, 3, 154) (dual of [(92, 3), 30, 155]-NRT-code), using strength reduction based on linear OOA(3246, 92, F3, 3, 155) (dual of [(92, 3), 30, 156]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(954, 23, F9, 3, 51) (dual of [(23, 3), 15, 52]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(954, 28, F9, 3, 51) (dual of [(28, 3), 30, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [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,32P) [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(954, 28, F9, 3, 51) (dual of [(28, 3), 30, 52]-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(954, 23, F9, 3, 51) (dual of [(23, 3), 15, 52]-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(3249, 93, F3, 3, 154) (dual of [(93, 3), 30, 155]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3247, 92, F3, 3, 154) (dual of [(92, 3), 29, 155]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3245, 91, F3, 3, 153) (dual of [(91, 3), 28, 154]-NRT-code) | [i] | Truncation for OOAs | |