Information on Result #912908
Linear OOA(3229, 119, F3, 2, 164) (dual of [(119, 2), 9, 165]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2714, 17, F27, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,27)), using
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- Reed–Solomon code RS(13,27) [i]
- discarding factors / shortening the dual code based on linear OA(2714, 27, F27, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
- linear OOA(311, 7, F3, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
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(3229, 119, F3, 2, 163) (dual of [(119, 2), 9, 164]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3229, 119, F3, 2, 162) (dual of [(119, 2), 9, 163]-NRT-code) | [i] | ||
| 3 | Linear OOA(3229, 119, F3, 2, 161) (dual of [(119, 2), 9, 162]-NRT-code) | [i] | ||
| 4 | Linear OOA(3229, 119, F3, 2, 160) (dual of [(119, 2), 9, 161]-NRT-code) | [i] | ||
| 5 | Linear OOA(3229, 119, F3, 2, 159) (dual of [(119, 2), 9, 160]-NRT-code) | [i] | ||
| 6 | Linear OOA(3229, 119, F3, 2, 158) (dual of [(119, 2), 9, 159]-NRT-code) | [i] | ||
| 7 | Linear OOA(3229, 119, F3, 2, 157) (dual of [(119, 2), 9, 158]-NRT-code) | [i] | ||
| 8 | Linear OOA(3229, 119, F3, 2, 156) (dual of [(119, 2), 9, 157]-NRT-code) | [i] | ||
| 9 | Linear OOA(3231, 120, F3, 2, 164) (dual of [(120, 2), 9, 165]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 10 | Linear OOA(3228, 118, F3, 2, 163) (dual of [(118, 2), 8, 164]-NRT-code) | [i] | Truncation for OOAs | |
| 11 | Linear OOA(3227, 118, F3, 2, 162) (dual of [(118, 2), 9, 163]-NRT-code) | [i] | ||
| 12 | Linear OOA(3226, 117, F3, 2, 161) (dual of [(117, 2), 8, 162]-NRT-code) | [i] | ||
| 13 | Linear OOA(3225, 117, F3, 2, 160) (dual of [(117, 2), 9, 161]-NRT-code) | [i] | ||
| 14 | Linear OOA(3223, 116, F3, 2, 158) (dual of [(116, 2), 9, 159]-NRT-code) | [i] | ||
| 15 | Linear OOA(3222, 115, F3, 2, 157) (dual of [(115, 2), 8, 158]-NRT-code) | [i] | ||
| 16 | Linear OOA(3221, 115, F3, 2, 156) (dual of [(115, 2), 9, 157]-NRT-code) | [i] | ||
| 17 | Linear OOA(3220, 114, F3, 2, 155) (dual of [(114, 2), 8, 156]-NRT-code) | [i] | ||
| 18 | Linear OOA(3219, 114, F3, 2, 154) (dual of [(114, 2), 9, 155]-NRT-code) | [i] | ||
| 19 | Linear OOA(3218, 113, F3, 2, 153) (dual of [(113, 2), 8, 154]-NRT-code) | [i] | ||
| 20 | Linear OOA(3217, 113, F3, 2, 152) (dual of [(113, 2), 9, 153]-NRT-code) | [i] | ||
| 21 | Linear OOA(3229, 59, F3, 4, 164) (dual of [(59, 4), 7, 165]-NRT-code) | [i] | OOA Folding | |