Information on Result #938269
Linear OOA(8148, 83, F8, 2, 117) (dual of [(83, 2), 18, 118]-NRT-code), using construction X applied to AG(2;F,10P) ⊂ AG(2;F,31P) based on
- linear OOA(8125, 64, F8, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) with known gap numbers [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(8110, 64, F8, 2, 96) (dual of [(64, 2), 18, 97]-NRT-code), using algebraic-geometric NRT-code AG(2;F,31P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(823, 19, F8, 2, 20) (dual of [(19, 2), 15, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(823, 24, F8, 2, 20) (dual of [(24, 2), 25, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,27P) [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,27P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(823, 24, F8, 2, 20) (dual of [(24, 2), 25, 21]-NRT-code), 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(8148, 83, F8, 2, 116) (dual of [(83, 2), 18, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8146, 82, F8, 2, 115) (dual of [(82, 2), 18, 116]-NRT-code) | [i] | Truncation for OOAs | |