Information on Result #1471639
Linear OOA(8171, 157, F8, 2, 112) (dual of [(157, 2), 143, 113]-NRT-code), using construction X applied to AG(2;F,173P) ⊂ AG(2;F,187P) based on
- linear OOA(8157, 143, F8, 2, 112) (dual of [(143, 2), 129, 113]-NRT-code), using algebraic-geometric NRT-code AG(2;F,173P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144, using
- linear OOA(8143, 143, F8, 2, 98) (dual of [(143, 2), 143, 99]-NRT-code), using algebraic-geometric NRT-code AG(2;F,187P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144 (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: 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(8171, 157, F8, 2, 111) (dual of [(157, 2), 143, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8173, 158, F8, 2, 112) (dual of [(158, 2), 143, 113]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |