Information on Result #2619415
Linear OOA(2250, 90, F2, 3, 145) (dual of [(90, 3), 20, 146]-NRT-code), using strength reduction based on linear OOA(2250, 90, F2, 3, 149) (dual of [(90, 3), 20, 150]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3214, 18, F32, 14) (dual of [18, 4, 15]-code or 18-arc in PG(13,32)), using
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- Reed–Solomon code RS(18,32) [i]
- discarding factors / shortening the dual code based on linear OA(3214, 32, F32, 14) (dual of [32, 18, 15]-code or 32-arc in PG(13,32)), using
- linear OOA(210, 5, F2, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(3214, 18, F32, 14) (dual of [18, 4, 15]-code or 18-arc in PG(13,32)), 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(2251, 90, F2, 3, 145) (dual of [(90, 3), 19, 146]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2252, 90, F2, 3, 145) (dual of [(90, 3), 18, 146]-NRT-code) | [i] | ||
| 3 | Linear OOA(2249, 89, F2, 3, 144) (dual of [(89, 3), 18, 145]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2248, 89, F2, 3, 143) (dual of [(89, 3), 19, 144]-NRT-code) | [i] | ||
| 5 | Linear OOA(2247, 89, F2, 3, 142) (dual of [(89, 3), 20, 143]-NRT-code) | [i] | ||
| 6 | Linear OOA(2246, 88, F2, 3, 141) (dual of [(88, 3), 18, 142]-NRT-code) | [i] | ||
| 7 | Linear OOA(2245, 88, F2, 3, 140) (dual of [(88, 3), 19, 141]-NRT-code) | [i] | ||
| 8 | Linear OOA(2244, 88, F2, 3, 139) (dual of [(88, 3), 20, 140]-NRT-code) | [i] | ||
| 9 | Linear OOA(2243, 87, F2, 3, 138) (dual of [(87, 3), 18, 139]-NRT-code) | [i] | ||
| 10 | Linear OOA(2242, 87, F2, 3, 137) (dual of [(87, 3), 19, 138]-NRT-code) | [i] | ||
| 11 | Linear OOA(2240, 86, F2, 3, 135) (dual of [(86, 3), 18, 136]-NRT-code) | [i] | ||
| 12 | Linear OOA(2239, 86, F2, 3, 134) (dual of [(86, 3), 19, 135]-NRT-code) | [i] | ||
| 13 | Linear OOA(2238, 86, F2, 3, 133) (dual of [(86, 3), 20, 134]-NRT-code) | [i] | ||
| 14 | Linear OOA(2237, 85, F2, 3, 132) (dual of [(85, 3), 18, 133]-NRT-code) | [i] | ||
| 15 | Linear OOA(2250, 45, F2, 6, 145) (dual of [(45, 6), 20, 146]-NRT-code) | [i] | OOA Folding | |