Information on Result #924391
Linear OOA(8139, 111, F8, 2, 88) (dual of [(111, 2), 83, 89]-NRT-code), using construction X applied to AG(2;F,105P) ⊂ AG(2;F,119P) based on
- linear OOA(8125, 97, F8, 2, 88) (dual of [(97, 2), 69, 89]-NRT-code), using algebraic-geometric NRT-code AG(2;F,105P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8111, 97, F8, 2, 74) (dual of [(97, 2), 83, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,119P) [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(8139, 111, F8, 2, 87) (dual of [(111, 2), 83, 88]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8141, 112, F8, 2, 88) (dual of [(112, 2), 83, 89]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |