Information on Result #1030679
Linear OOA(3248, 92, F3, 3, 158) (dual of [(92, 3), 28, 159]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(955, 23, F9, 3, 52) (dual of [(23, 3), 14, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(955, 28, F9, 3, 52) (dual of [(28, 3), 29, 53]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,31P) [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,31P) [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(955, 28, F9, 3, 52) (dual of [(28, 3), 29, 53]-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(3248, 92, F3, 3, 157) (dual of [(92, 3), 28, 158]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3248, 92, F3, 3, 156) (dual of [(92, 3), 28, 157]-NRT-code) | [i] | ||
| 3 | Linear OOA(3248, 92, F3, 3, 155) (dual of [(92, 3), 28, 156]-NRT-code) | [i] | ||
| 4 | Linear OOA(3248, 92, F3, 3, 154) (dual of [(92, 3), 28, 155]-NRT-code) | [i] | ||
| 5 | Linear OOA(3248, 92, F3, 3, 153) (dual of [(92, 3), 28, 154]-NRT-code) | [i] | ||
| 6 | Linear OOA(3249, 92, F3, 3, 158) (dual of [(92, 3), 27, 159]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(3247, 91, F3, 3, 157) (dual of [(91, 3), 26, 158]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(3246, 91, F3, 3, 156) (dual of [(91, 3), 27, 157]-NRT-code) | [i] | ||
| 9 | Linear OOA(3245, 91, F3, 3, 155) (dual of [(91, 3), 28, 156]-NRT-code) | [i] | ||
| 10 | Linear OOA(3244, 90, F3, 3, 154) (dual of [(90, 3), 26, 155]-NRT-code) | [i] | ||
| 11 | Linear OOA(3243, 90, F3, 3, 153) (dual of [(90, 3), 27, 154]-NRT-code) | [i] | ||
| 12 | Linear OOA(3242, 90, F3, 3, 152) (dual of [(90, 3), 28, 153]-NRT-code) | [i] | ||
| 13 | Linear OOA(3241, 89, F3, 3, 151) (dual of [(89, 3), 26, 152]-NRT-code) | [i] | ||
| 14 | Linear OOA(3240, 89, F3, 3, 150) (dual of [(89, 3), 27, 151]-NRT-code) | [i] | ||
| 15 | Linear OOA(3239, 89, F3, 3, 149) (dual of [(89, 3), 28, 150]-NRT-code) | [i] | ||
| 16 | Linear OOA(3237, 88, F3, 3, 147) (dual of [(88, 3), 27, 148]-NRT-code) | [i] | ||