Information on Result #1028680
Linear OOA(2254, 90, F2, 3, 155) (dual of [(90, 3), 16, 156]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1611, 15, F16, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- Reed–Solomon code RS(5,16) [i]
- discarding factors / shortening the dual code based on linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
- linear OOA(214, 6, F2, 3, 12) (dual of [(6, 3), 4, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,5P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, 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(2254, 90, F2, 3, 154) (dual of [(90, 3), 16, 155]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2254, 90, F2, 3, 153) (dual of [(90, 3), 16, 154]-NRT-code) | [i] | ||
| 3 | Linear OOA(2254, 90, F2, 3, 152) (dual of [(90, 3), 16, 153]-NRT-code) | [i] | ||
| 4 | Linear OOA(2254, 90, F2, 3, 151) (dual of [(90, 3), 16, 152]-NRT-code) | [i] | ||
| 5 | Linear OOA(2254, 90, F2, 3, 150) (dual of [(90, 3), 16, 151]-NRT-code) | [i] | ||
| 6 | Linear OOA(2257, 91, F2, 3, 155) (dual of [(91, 3), 16, 156]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 7 | Linear OOA(2260, 92, F2, 3, 155) (dual of [(92, 3), 16, 156]-NRT-code) | [i] | ||
| 8 | Linear OOA(2256, 90, F2, 3, 155) (dual of [(90, 3), 14, 156]-NRT-code) | [i] | OOA Duplication | |
| 9 | Linear OOA(2253, 89, F2, 3, 154) (dual of [(89, 3), 14, 155]-NRT-code) | [i] | Truncation for OOAs | |
| 10 | Linear OOA(2252, 89, F2, 3, 153) (dual of [(89, 3), 15, 154]-NRT-code) | [i] | ||
| 11 | Linear OOA(2251, 89, F2, 3, 152) (dual of [(89, 3), 16, 153]-NRT-code) | [i] | ||
| 12 | Linear OOA(2250, 88, F2, 3, 151) (dual of [(88, 3), 14, 152]-NRT-code) | [i] | ||
| 13 | Linear OOA(2249, 88, F2, 3, 150) (dual of [(88, 3), 15, 151]-NRT-code) | [i] | ||
| 14 | Linear OOA(2248, 88, F2, 3, 149) (dual of [(88, 3), 16, 150]-NRT-code) | [i] | ||
| 15 | Linear OOA(2247, 87, F2, 3, 148) (dual of [(87, 3), 14, 149]-NRT-code) | [i] | ||
| 16 | Linear OOA(2246, 87, F2, 3, 147) (dual of [(87, 3), 15, 148]-NRT-code) | [i] | ||
| 17 | Linear OOA(2245, 87, F2, 3, 146) (dual of [(87, 3), 16, 147]-NRT-code) | [i] | ||
| 18 | Linear OOA(2244, 86, F2, 3, 145) (dual of [(86, 3), 14, 146]-NRT-code) | [i] | ||
| 19 | Linear OOA(2243, 86, F2, 3, 144) (dual of [(86, 3), 15, 145]-NRT-code) | [i] | ||
| 20 | Linear OOA(2242, 86, F2, 3, 143) (dual of [(86, 3), 16, 144]-NRT-code) | [i] | ||
| 21 | Linear OOA(2254, 45, F2, 6, 155) (dual of [(45, 6), 16, 156]-NRT-code) | [i] | OOA Folding | |