Information on Result #938315
Linear OOA(8153, 88, F8, 2, 117) (dual of [(88, 2), 23, 118]-NRT-code), using construction X applied to AG(2;F,10P) ⊂ AG(2;F,36P) 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(8105, 64, F8, 2, 91) (dual of [(64, 2), 23, 92]-NRT-code), using algebraic-geometric NRT-code AG(2;F,36P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(828, 24, F8, 2, 25) (dual of [(24, 2), 20, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,22P) [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,22P) [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(8151, 87, F8, 2, 115) (dual of [(87, 2), 23, 116]-NRT-code) | [i] | Truncation for OOAs |