Information on Result #916194
Linear OOA(3224, 120, F3, 2, 146) (dual of [(120, 2), 16, 147]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(952, 30, F9, 2, 48) (dual of [(30, 2), 8, 49]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,11P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, 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(3224, 120, F3, 2, 145) (dual of [(120, 2), 16, 146]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3224, 120, F3, 2, 144) (dual of [(120, 2), 16, 145]-NRT-code) | [i] | ||
| 3 | Linear OOA(3226, 121, F3, 2, 146) (dual of [(121, 2), 16, 147]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3223, 119, F3, 2, 145) (dual of [(119, 2), 15, 146]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3222, 119, F3, 2, 144) (dual of [(119, 2), 16, 145]-NRT-code) | [i] | ||
| 6 | Linear OOA(3221, 118, F3, 2, 143) (dual of [(118, 2), 15, 144]-NRT-code) | [i] | ||
| 7 | Linear OOA(3220, 118, F3, 2, 142) (dual of [(118, 2), 16, 143]-NRT-code) | [i] | ||
| 8 | Linear OOA(3219, 117, F3, 2, 141) (dual of [(117, 2), 15, 142]-NRT-code) | [i] | ||
| 9 | Linear OOA(3218, 117, F3, 2, 140) (dual of [(117, 2), 16, 141]-NRT-code) | [i] | ||
| 10 | Linear OOA(3217, 116, F3, 2, 139) (dual of [(116, 2), 15, 140]-NRT-code) | [i] | ||
| 11 | Linear OOA(3224, 60, F3, 4, 146) (dual of [(60, 4), 16, 147]-NRT-code) | [i] | OOA Folding | |