Information on Result #910689
Linear OOA(973, 38, F9, 2, 69) (dual of [(38, 2), 3, 70]-NRT-code), using juxtaposition based on
- linear OOA(917, 10, F9, 2, 17) (dual of [(10, 2), 3, 18]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,9) [i]
- linear OOA(953, 28, F9, 2, 51) (dual of [(28, 2), 3, 52]-NRT-code), using
- standard lengthening with (d0,…,d1) = (50,51) [i] based on linear OOA(951, 27, F9, 2, 49) (dual of [(27, 2), 3, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,4P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
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(973, 38, F9, 2, 68) (dual of [(38, 2), 3, 69]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(973, 38, F9, 2, 67) (dual of [(38, 2), 3, 68]-NRT-code) | [i] | ||
| 3 | Linear OOA(972, 37, F9, 2, 68) (dual of [(37, 2), 2, 69]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(966, 34, F9, 2, 62) (dual of [(34, 2), 2, 63]-NRT-code) | [i] | ||
| 5 | Linear OOA(964, 33, F9, 2, 60) (dual of [(33, 2), 2, 61]-NRT-code) | [i] | ||
| 6 | Linear OOA(960, 31, F9, 2, 56) (dual of [(31, 2), 2, 57]-NRT-code) | [i] | ||
| 7 | Linear OOA(959, 31, F9, 2, 55) (dual of [(31, 2), 3, 56]-NRT-code) | [i] | ||