Information on Result #912884
Linear OOA(3245, 136, F3, 2, 149) (dual of [(136, 2), 27, 150]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2725, 34, F27, 24) (dual of [34, 9, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2725, 38, F27, 24) (dual of [38, 13, 25]-code), using
- extended algebraic-geometric code AGe(F,13P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2725, 38, F27, 24) (dual of [38, 13, 25]-code), using
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,3) [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(3245, 136, F3, 2, 148) (dual of [(136, 2), 27, 149]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3245, 136, F3, 2, 147) (dual of [(136, 2), 27, 148]-NRT-code) | [i] | ||
| 3 | Linear OOA(3245, 136, F3, 2, 146) (dual of [(136, 2), 27, 147]-NRT-code) | [i] | ||
| 4 | Linear OOA(3245, 136, F3, 2, 145) (dual of [(136, 2), 27, 146]-NRT-code) | [i] | ||
| 5 | Linear OOA(3247, 137, F3, 2, 149) (dual of [(137, 2), 27, 150]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(3249, 138, F3, 2, 149) (dual of [(138, 2), 27, 150]-NRT-code) | [i] | ||
| 7 | Linear OOA(3246, 136, F3, 2, 149) (dual of [(136, 2), 26, 150]-NRT-code) | [i] | OOA Duplication | |
| 8 | Linear OOA(3244, 135, F3, 2, 148) (dual of [(135, 2), 26, 149]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(3243, 135, F3, 2, 147) (dual of [(135, 2), 27, 148]-NRT-code) | [i] | ||
| 10 | Linear OOA(3242, 134, F3, 2, 146) (dual of [(134, 2), 26, 147]-NRT-code) | [i] | ||
| 11 | Linear OOA(3241, 134, F3, 2, 145) (dual of [(134, 2), 27, 146]-NRT-code) | [i] | ||
| 12 | Linear OOA(3240, 133, F3, 2, 144) (dual of [(133, 2), 26, 145]-NRT-code) | [i] | ||
| 13 | Linear OOA(3239, 133, F3, 2, 143) (dual of [(133, 2), 27, 144]-NRT-code) | [i] | ||
| 14 | Linear OOA(3238, 132, F3, 2, 142) (dual of [(132, 2), 26, 143]-NRT-code) | [i] | ||
| 15 | Linear OOA(3245, 68, F3, 4, 149) (dual of [(68, 4), 27, 150]-NRT-code) | [i] | OOA Folding | |