Information on Result #1049411
Linear OOA(2259, 89, F2, 3, 179) (dual of [(89, 3), 8, 180]-NRT-code), using juxtaposition based on
- linear OOA(219, 9, F2, 3, 14) (dual of [(9, 3), 8, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,12P) [i] based on function field F/F2 with g(F) = 5 and N(F) ≥ 9, using
- linear OOA(2232, 80, F2, 3, 164) (dual of [(80, 3), 8, 165]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(1614, 16, F16, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), using
- Reed–Solomon code RS(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(1614, 16, F16, 14) (dual of [16, 2, 15]-code or 16-arc in PG(13,16)), using
- concatenation of two NRT-codes [i] based on
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, 89, F2, 3, 178) (dual of [(89, 3), 8, 179]-NRT-code) | [i] | Strength Reduction for OOAs | |
2 | Linear OOA(2259, 89, F2, 3, 177) (dual of [(89, 3), 8, 178]-NRT-code) | [i] | ||
3 | Linear OOA(2259, 89, F2, 3, 176) (dual of [(89, 3), 8, 177]-NRT-code) | [i] | ||
4 | Linear OOA(2255, 87, F2, 3, 175) (dual of [(87, 3), 6, 176]-NRT-code) | [i] | Truncation for OOAs | |
5 | Linear OOA(2253, 87, F2, 3, 173) (dual of [(87, 3), 8, 174]-NRT-code) | [i] | ||
6 | Linear OOA(2252, 86, F2, 3, 172) (dual of [(86, 3), 6, 173]-NRT-code) | [i] | ||
7 | Linear OOA(2251, 86, F2, 3, 171) (dual of [(86, 3), 7, 172]-NRT-code) | [i] | ||
8 | Linear OOA(2250, 86, F2, 3, 170) (dual of [(86, 3), 8, 171]-NRT-code) | [i] | ||
9 | Linear OOA(2248, 85, F2, 3, 168) (dual of [(85, 3), 7, 169]-NRT-code) | [i] | ||
10 | Linear OOA(2245, 84, F2, 3, 165) (dual of [(84, 3), 7, 166]-NRT-code) | [i] |