Information on Result #1049424
Linear OOA(2174, 60, F2, 3, 122) (dual of [(60, 3), 6, 123]-NRT-code), using juxtaposition based on
- linear OOA(212, 6, F2, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,7P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- linear OOA(2156, 54, F2, 3, 111) (dual of [(54, 3), 6, 112]-NRT-code), using
- concatenation of two NRT-codes [i] 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(26, 3, F2, 3, 6) (dual of [(3, 3), 3, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;3,2) [i]
- linear OA(816, 18, F8, 15) (dual of [18, 2, 16]-code), 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(2174, 60, F2, 3, 121) (dual of [(60, 3), 6, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2174, 60, F2, 3, 120) (dual of [(60, 3), 6, 121]-NRT-code) | [i] | ||
| 3 | Linear OOA(2174, 30, F2, 6, 122) (dual of [(30, 6), 6, 123]-NRT-code) | [i] | OOA Folding | |