Information on Result #924863
Linear OOA(8170, 121, F8, 2, 108) (dual of [(121, 2), 72, 109]-NRT-code), using construction X applied to AG(2;F,85P) ⊂ AG(2;F,108P) based on
- linear OOA(8145, 97, F8, 2, 108) (dual of [(97, 2), 49, 109]-NRT-code), using algebraic-geometric NRT-code AG(2;F,85P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8122, 97, F8, 2, 85) (dual of [(97, 2), 72, 86]-NRT-code), using algebraic-geometric NRT-code AG(2;F,108P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(825, 24, F8, 2, 22) (dual of [(24, 2), 23, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,25P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,25P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, 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(8170, 121, F8, 2, 107) (dual of [(121, 2), 72, 108]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8172, 122, F8, 2, 108) (dual of [(122, 2), 72, 109]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |