Information on Result #2628650
Linear OOA(3242, 96, F3, 3, 139) (dual of [(96, 3), 46, 140]-NRT-code), using strength reduction based on linear OOA(3242, 96, F3, 3, 140) (dual of [(96, 3), 46, 141]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(949, 24, F9, 3, 46) (dual of [(24, 3), 23, 47]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(949, 28, F9, 3, 46) (dual of [(28, 3), 35, 47]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,37P) [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,37P) [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(949, 28, F9, 3, 46) (dual of [(28, 3), 35, 47]-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(949, 24, F9, 3, 46) (dual of [(24, 3), 23, 47]-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(3245, 97, F3, 3, 139) (dual of [(97, 3), 46, 140]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3243, 96, F3, 3, 139) (dual of [(96, 3), 45, 140]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3241, 95, F3, 3, 138) (dual of [(95, 3), 44, 139]-NRT-code) | [i] | Truncation for OOAs | |