Information on Result #922312
Linear OOA(896, 72, F8, 2, 74) (dual of [(72, 2), 48, 75]-NRT-code), using construction X applied to AG(2;F,53P) ⊂ AG(2;F,62P) based on
- linear OOA(888, 64, F8, 2, 74) (dual of [(64, 2), 40, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,53P) [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(879, 64, F8, 2, 65) (dual of [(64, 2), 49, 66]-NRT-code), using algebraic-geometric NRT-code AG(2;F,62P) [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(8147, 137, F8, 2, 74) (dual of [(137, 2), 127, 75]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(896, 36, F8, 3, 74) (dual of [(36, 3), 12, 75]-NRT-code) | [i] | OOA Folding | |