Information on Result #924408
Linear OOA(8122, 111, F8, 2, 71) (dual of [(111, 2), 100, 72]-NRT-code), using construction X applied to AG(2;F,122P) ⊂ AG(2;F,136P) based on
- linear OOA(8108, 97, F8, 2, 71) (dual of [(97, 2), 86, 72]-NRT-code), using algebraic-geometric NRT-code AG(2;F,122P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(894, 97, F8, 2, 57) (dual of [(97, 2), 100, 58]-NRT-code), using algebraic-geometric NRT-code AG(2;F,136P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(814, 14, F8, 2, 13) (dual of [(14, 2), 14, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,14P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, 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(8122, 111, F8, 2, 70) (dual of [(111, 2), 100, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8124, 112, F8, 2, 71) (dual of [(112, 2), 100, 72]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |