Information on Result #922314
Linear OOA(894, 72, F8, 2, 72) (dual of [(72, 2), 50, 73]-NRT-code), using construction X applied to AG(2;F,55P) ⊂ AG(2;F,64P) based on
- linear OOA(886, 64, F8, 2, 72) (dual of [(64, 2), 42, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,55P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(877, 64, F8, 2, 63) (dual of [(64, 2), 51, 64]-NRT-code), using algebraic-geometric NRT-code AG(2;F,64P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(88, 8, F8, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;8,8) [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(8144, 137, F8, 2, 72) (dual of [(137, 2), 130, 73]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(894, 36, F8, 3, 72) (dual of [(36, 3), 14, 73]-NRT-code) | [i] | OOA Folding | |