Information on Result #1030678
Linear OOA(3240, 88, F3, 3, 155) (dual of [(88, 3), 24, 156]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(954, 22, F9, 3, 51) (dual of [(22, 3), 12, 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]
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(3240, 88, F3, 3, 154) (dual of [(88, 3), 24, 155]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3240, 88, F3, 3, 153) (dual of [(88, 3), 24, 154]-NRT-code) | [i] | ||
| 3 | Linear OOA(3243, 89, F3, 3, 155) (dual of [(89, 3), 24, 156]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3241, 88, F3, 3, 155) (dual of [(88, 3), 23, 156]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3239, 87, F3, 3, 154) (dual of [(87, 3), 22, 155]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3238, 87, F3, 3, 153) (dual of [(87, 3), 23, 154]-NRT-code) | [i] | ||
| 7 | Linear OOA(3237, 87, F3, 3, 152) (dual of [(87, 3), 24, 153]-NRT-code) | [i] | ||
| 8 | Linear OOA(3236, 86, F3, 3, 151) (dual of [(86, 3), 22, 152]-NRT-code) | [i] | ||
| 9 | Linear OOA(3235, 86, F3, 3, 150) (dual of [(86, 3), 23, 151]-NRT-code) | [i] | ||
| 10 | Linear OOA(3234, 86, F3, 3, 149) (dual of [(86, 3), 24, 150]-NRT-code) | [i] | ||
| 11 | Linear OOA(3233, 85, F3, 3, 148) (dual of [(85, 3), 22, 149]-NRT-code) | [i] | ||
| 12 | Linear OOA(3232, 85, F3, 3, 147) (dual of [(85, 3), 23, 148]-NRT-code) | [i] | ||
| 13 | Linear OOA(3231, 85, F3, 3, 146) (dual of [(85, 3), 24, 147]-NRT-code) | [i] | ||
| 14 | Linear OOA(3229, 84, F3, 3, 144) (dual of [(84, 3), 23, 145]-NRT-code) | [i] | ||