Information on Result #2620040
Linear OOA(2258, 90, F2, 3, 171) (dual of [(90, 3), 12, 172]-NRT-code), using strength reduction based on linear OOA(2258, 90, F2, 3, 175) (dual of [(90, 3), 12, 176]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
- Denniston code D(1,16) [i]
- linear OOA(211, 5, F2, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- linear OA(1615, 18, F16, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), 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(2259, 90, F2, 3, 171) (dual of [(90, 3), 11, 172]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2260, 90, F2, 3, 171) (dual of [(90, 3), 10, 172]-NRT-code) | [i] | ||
| 3 | Linear OOA(2257, 89, F2, 3, 170) (dual of [(89, 3), 10, 171]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2256, 89, F2, 3, 169) (dual of [(89, 3), 11, 170]-NRT-code) | [i] | ||
| 5 | Linear OOA(2255, 89, F2, 3, 168) (dual of [(89, 3), 12, 169]-NRT-code) | [i] | ||
| 6 | Linear OOA(2254, 88, F2, 3, 167) (dual of [(88, 3), 10, 168]-NRT-code) | [i] | ||
| 7 | Linear OOA(2253, 88, F2, 3, 166) (dual of [(88, 3), 11, 167]-NRT-code) | [i] | ||
| 8 | Linear OOA(2252, 88, F2, 3, 165) (dual of [(88, 3), 12, 166]-NRT-code) | [i] | ||
| 9 | Linear OOA(2251, 87, F2, 3, 164) (dual of [(87, 3), 10, 165]-NRT-code) | [i] | ||
| 10 | Linear OOA(2250, 87, F2, 3, 163) (dual of [(87, 3), 11, 164]-NRT-code) | [i] | ||
| 11 | Linear OOA(2249, 87, F2, 3, 162) (dual of [(87, 3), 12, 163]-NRT-code) | [i] | ||
| 12 | Linear OOA(2248, 86, F2, 3, 161) (dual of [(86, 3), 10, 162]-NRT-code) | [i] | ||
| 13 | Linear OOA(2247, 86, F2, 3, 160) (dual of [(86, 3), 11, 161]-NRT-code) | [i] | ||
| 14 | Linear OOA(2246, 86, F2, 3, 159) (dual of [(86, 3), 12, 160]-NRT-code) | [i] | ||
| 15 | Linear OOA(2245, 85, F2, 3, 158) (dual of [(85, 3), 10, 159]-NRT-code) | [i] | ||
| 16 | Linear OOA(2244, 85, F2, 3, 157) (dual of [(85, 3), 11, 158]-NRT-code) | [i] | ||
| 17 | Linear OOA(2242, 84, F2, 3, 155) (dual of [(84, 3), 10, 156]-NRT-code) | [i] | ||
| 18 | Linear OOA(2241, 84, F2, 3, 154) (dual of [(84, 3), 11, 155]-NRT-code) | [i] | ||
| 19 | Linear OOA(2258, 45, F2, 6, 171) (dual of [(45, 6), 12, 172]-NRT-code) | [i] | OOA Folding | |