Information on Result #938297
Linear OOA(8150, 85, F8, 2, 117) (dual of [(85, 2), 20, 118]-NRT-code), using construction X applied to AG(2;F,10P) ⊂ AG(2;F,33P) 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(8108, 64, F8, 2, 94) (dual of [(64, 2), 20, 95]-NRT-code), using algebraic-geometric NRT-code AG(2;F,33P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(825, 21, F8, 2, 22) (dual of [(21, 2), 17, 23]-NRT-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OOA(825, 24, F8, 2, 22) (dual of [(24, 2), 23, 23]-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(8150, 85, F8, 2, 116) (dual of [(85, 2), 20, 117]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8148, 84, F8, 2, 115) (dual of [(84, 2), 20, 116]-NRT-code) | [i] | Truncation for OOAs | |