Information on Result #2619789
Linear OOA(2255, 90, F2, 3, 157) (dual of [(90, 3), 15, 158]-NRT-code), using strength reduction based on linear OOA(2255, 90, F2, 3, 159) (dual of [(90, 3), 15, 160]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(3215, 18, F32, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,32)), using
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), using
- Reed–Solomon code RS(17,32) [i]
- discarding factors / shortening the dual code based on linear OA(3215, 32, F32, 15) (dual of [32, 17, 16]-code or 32-arc in PG(14,32)), 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(3215, 18, F32, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,32)), 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(2258, 91, F2, 3, 157) (dual of [(91, 3), 15, 158]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2256, 90, F2, 3, 157) (dual of [(90, 3), 14, 158]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2257, 90, F2, 3, 157) (dual of [(90, 3), 13, 158]-NRT-code) | [i] | ||
| 4 | Linear OOA(2254, 89, F2, 3, 156) (dual of [(89, 3), 13, 157]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2253, 89, F2, 3, 155) (dual of [(89, 3), 14, 156]-NRT-code) | [i] | ||
| 6 | Linear OOA(2252, 89, F2, 3, 154) (dual of [(89, 3), 15, 155]-NRT-code) | [i] | ||
| 7 | Linear OOA(2250, 88, F2, 3, 152) (dual of [(88, 3), 14, 153]-NRT-code) | [i] | ||
| 8 | Linear OOA(2249, 88, F2, 3, 151) (dual of [(88, 3), 15, 152]-NRT-code) | [i] | ||
| 9 | Linear OOA(2247, 87, F2, 3, 149) (dual of [(87, 3), 14, 150]-NRT-code) | [i] | ||
| 10 | Linear OOA(2246, 87, F2, 3, 148) (dual of [(87, 3), 15, 149]-NRT-code) | [i] | ||
| 11 | Linear OOA(2244, 86, F2, 3, 146) (dual of [(86, 3), 14, 147]-NRT-code) | [i] | ||
| 12 | Linear OOA(2243, 86, F2, 3, 145) (dual of [(86, 3), 15, 146]-NRT-code) | [i] | ||
| 13 | Linear OOA(2241, 85, F2, 3, 143) (dual of [(85, 3), 14, 144]-NRT-code) | [i] | ||
| 14 | Linear OOA(2255, 45, F2, 6, 157) (dual of [(45, 6), 15, 158]-NRT-code) | [i] | OOA Folding | |