Information on Result #2619181
Linear OOA(2247, 85, F2, 3, 174) (dual of [(85, 3), 8, 175]-NRT-code), using strength reduction based on linear OOA(2247, 85, F2, 3, 175) (dual of [(85, 3), 8, 176]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1615, 17, F16, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
- extended Reed–Solomon code RSe(2,16) [i]
- Simplex code S(2,16) [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, 17, F16, 15) (dual of [17, 2, 16]-code or 17-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(2250, 86, F2, 3, 174) (dual of [(86, 3), 8, 175]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2248, 85, F2, 3, 174) (dual of [(85, 3), 7, 175]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2246, 84, F2, 3, 173) (dual of [(84, 3), 6, 174]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2245, 84, F2, 3, 172) (dual of [(84, 3), 7, 173]-NRT-code) | [i] | ||
| 5 | Linear OOA(2244, 84, F2, 3, 171) (dual of [(84, 3), 8, 172]-NRT-code) | [i] | ||
| 6 | Linear OOA(2243, 83, F2, 3, 170) (dual of [(83, 3), 6, 171]-NRT-code) | [i] | ||
| 7 | Linear OOA(2242, 83, F2, 3, 169) (dual of [(83, 3), 7, 170]-NRT-code) | [i] | ||
| 8 | Linear OOA(2241, 83, F2, 3, 168) (dual of [(83, 3), 8, 169]-NRT-code) | [i] | ||
| 9 | Linear OOA(2240, 82, F2, 3, 167) (dual of [(82, 3), 6, 168]-NRT-code) | [i] | ||
| 10 | Linear OOA(2239, 82, F2, 3, 166) (dual of [(82, 3), 7, 167]-NRT-code) | [i] | ||
| 11 | Linear OOA(2238, 82, F2, 3, 165) (dual of [(82, 3), 8, 166]-NRT-code) | [i] | ||
| 12 | Linear OOA(2236, 81, F2, 3, 163) (dual of [(81, 3), 7, 164]-NRT-code) | [i] | ||
| 13 | Linear OOA(2235, 81, F2, 3, 162) (dual of [(81, 3), 8, 163]-NRT-code) | [i] | ||
| 14 | Linear OOA(2233, 80, F2, 3, 160) (dual of [(80, 3), 7, 161]-NRT-code) | [i] | ||
| 15 | Linear OOA(2231, 79, F2, 3, 158) (dual of [(79, 3), 6, 159]-NRT-code) | [i] | ||
| 16 | Linear OOA(2230, 79, F2, 3, 157) (dual of [(79, 3), 7, 158]-NRT-code) | [i] | ||
| 17 | Linear OOA(2229, 79, F2, 3, 156) (dual of [(79, 3), 8, 157]-NRT-code) | [i] | ||
| 18 | Linear OOA(2227, 78, F2, 3, 154) (dual of [(78, 3), 7, 155]-NRT-code) | [i] | ||
| 19 | Linear OOA(2226, 78, F2, 3, 153) (dual of [(78, 3), 8, 154]-NRT-code) | [i] | ||