Information on Result #912910
Linear OOA(3232, 119, F3, 2, 175) (dual of [(119, 2), 6, 176]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2715, 17, F27, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,27)), using
- discarding factors / shortening the dual code based on linear OA(2715, 27, F27, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), using
- Reed–Solomon code RS(12,27) [i]
- discarding factors / shortening the dual code based on linear OA(2715, 27, F27, 15) (dual of [27, 12, 16]-code or 27-arc in PG(14,27)), 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(3232, 119, F3, 2, 174) (dual of [(119, 2), 6, 175]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3232, 119, F3, 2, 173) (dual of [(119, 2), 6, 174]-NRT-code) | [i] | ||
| 3 | Linear OOA(3232, 119, F3, 2, 172) (dual of [(119, 2), 6, 173]-NRT-code) | [i] | ||
| 4 | Linear OOA(3232, 119, F3, 2, 171) (dual of [(119, 2), 6, 172]-NRT-code) | [i] | ||
| 5 | Linear OOA(3232, 119, F3, 2, 170) (dual of [(119, 2), 6, 171]-NRT-code) | [i] | ||
| 6 | Linear OOA(3232, 119, F3, 2, 169) (dual of [(119, 2), 6, 170]-NRT-code) | [i] | ||
| 7 | Linear OOA(3232, 119, F3, 2, 168) (dual of [(119, 2), 6, 169]-NRT-code) | [i] | ||
| 8 | Linear OOA(3230, 118, F3, 2, 173) (dual of [(118, 2), 6, 174]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(3228, 117, F3, 2, 171) (dual of [(117, 2), 6, 172]-NRT-code) | [i] | ||
| 10 | Linear OOA(3226, 116, F3, 2, 169) (dual of [(116, 2), 6, 170]-NRT-code) | [i] | ||
| 11 | Linear OOA(3222, 114, F3, 2, 165) (dual of [(114, 2), 6, 166]-NRT-code) | [i] | ||
| 12 | Linear OOA(3221, 113, F3, 2, 164) (dual of [(113, 2), 5, 165]-NRT-code) | [i] | ||
| 13 | Linear OOA(3220, 113, F3, 2, 163) (dual of [(113, 2), 6, 164]-NRT-code) | [i] | ||
| 14 | Linear OOA(3219, 112, F3, 2, 162) (dual of [(112, 2), 5, 163]-NRT-code) | [i] | ||
| 15 | Linear OOA(3217, 111, F3, 2, 160) (dual of [(111, 2), 5, 161]-NRT-code) | [i] | ||
| 16 | Linear OOA(3215, 110, F3, 2, 158) (dual of [(110, 2), 5, 159]-NRT-code) | [i] | ||
| 17 | Linear OOA(3214, 110, F3, 2, 157) (dual of [(110, 2), 6, 158]-NRT-code) | [i] | ||
| 18 | Linear OOA(3213, 109, F3, 2, 156) (dual of [(109, 2), 5, 157]-NRT-code) | [i] | ||
| 19 | Linear OOA(3212, 109, F3, 2, 155) (dual of [(109, 2), 6, 156]-NRT-code) | [i] | ||
| 20 | Linear OOA(3211, 108, F3, 2, 154) (dual of [(108, 2), 5, 155]-NRT-code) | [i] | ||
| 21 | Linear OOA(3209, 107, F3, 2, 152) (dual of [(107, 2), 5, 153]-NRT-code) | [i] | ||
| 22 | Linear OOA(3208, 107, F3, 2, 151) (dual of [(107, 2), 6, 152]-NRT-code) | [i] | ||
| 23 | Linear OOA(3207, 106, F3, 2, 150) (dual of [(106, 2), 5, 151]-NRT-code) | [i] | ||
| 24 | Linear OOA(3206, 106, F3, 2, 149) (dual of [(106, 2), 6, 150]-NRT-code) | [i] | ||
| 25 | Linear OOA(3205, 105, F3, 2, 148) (dual of [(105, 2), 5, 149]-NRT-code) | [i] | ||
| 26 | Linear OOA(3203, 104, F3, 2, 146) (dual of [(104, 2), 5, 147]-NRT-code) | [i] | ||
| 27 | Linear OOA(3201, 103, F3, 2, 144) (dual of [(103, 2), 5, 145]-NRT-code) | [i] | ||