Information on Result #911399
Linear OOA(2174, 90, F2, 2, 111) (dual of [(90, 2), 6, 112]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(816, 18, F8, 15) (dual of [18, 2, 16]-code), using
- repeating each code word 2 times [i] based on linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- extended Reed–Solomon code RSe(2,8) [i]
- Simplex code S(2,8) [i]
- repeating each code word 2 times [i] based on linear OA(87, 9, F8, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
- linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2174, 90, F2, 2, 110) (dual of [(90, 2), 6, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2173, 89, F2, 2, 110) (dual of [(89, 2), 5, 111]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(2172, 89, F2, 2, 109) (dual of [(89, 2), 6, 110]-NRT-code) | [i] | ||
| 4 | Linear OOA(2169, 87, F2, 2, 106) (dual of [(87, 2), 5, 107]-NRT-code) | [i] | ||
| 5 | Linear OOA(2163, 84, F2, 2, 100) (dual of [(84, 2), 5, 101]-NRT-code) | [i] | ||
| 6 | Linear OOA(2192, 99, F2, 2, 120) (dual of [(99, 2), 6, 121]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 7 | Linear OOA(2194, 100, F2, 2, 121) (dual of [(100, 2), 6, 122]-NRT-code) | [i] | ||
| 8 | Linear OOA(2174, 45, F2, 4, 111) (dual of [(45, 4), 6, 112]-NRT-code) | [i] | OOA Folding | |