Information on Result #1030655
Linear OOA(3218, 80, F3, 3, 143) (dual of [(80, 3), 22, 144]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(949, 20, F9, 3, 47) (dual of [(20, 3), 11, 48]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, 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(3218, 80, F3, 3, 142) (dual of [(80, 3), 22, 143]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3218, 80, F3, 3, 141) (dual of [(80, 3), 22, 142]-NRT-code) | [i] | ||
| 3 | Linear OOA(3218, 80, F3, 3, 140) (dual of [(80, 3), 22, 141]-NRT-code) | [i] | ||
| 4 | Linear OOA(3218, 80, F3, 3, 139) (dual of [(80, 3), 22, 140]-NRT-code) | [i] | ||
| 5 | Linear OOA(3218, 80, F3, 3, 138) (dual of [(80, 3), 22, 139]-NRT-code) | [i] | ||
| 6 | Linear OOA(3221, 81, F3, 3, 143) (dual of [(81, 3), 22, 144]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(3217, 79, F3, 3, 142) (dual of [(79, 3), 20, 143]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(3216, 79, F3, 3, 141) (dual of [(79, 3), 21, 142]-NRT-code) | [i] | ||
| 9 | Linear OOA(3215, 79, F3, 3, 140) (dual of [(79, 3), 22, 141]-NRT-code) | [i] | ||
| 10 | Linear OOA(3214, 78, F3, 3, 139) (dual of [(78, 3), 20, 140]-NRT-code) | [i] | ||
| 11 | Linear OOA(3212, 78, F3, 3, 137) (dual of [(78, 3), 22, 138]-NRT-code) | [i] | ||
| 12 | Linear OOA(3211, 77, F3, 3, 136) (dual of [(77, 3), 20, 137]-NRT-code) | [i] | ||
| 13 | Linear OOA(3210, 77, F3, 3, 135) (dual of [(77, 3), 21, 136]-NRT-code) | [i] | ||
| 14 | Linear OOA(3209, 77, F3, 3, 134) (dual of [(77, 3), 22, 135]-NRT-code) | [i] | ||
| 15 | Linear OOA(3207, 76, F3, 3, 132) (dual of [(76, 3), 21, 133]-NRT-code) | [i] | ||