Information on Result #938305
Linear OOA(8147, 85, F8, 2, 113) (dual of [(85, 2), 23, 114]-NRT-code), using construction X applied to AG(2;F,13P) ⊂ AG(2;F,36P) based on
- linear OOA(8123, 64, F8, 2, 114) (dual of [(64, 2), 5, 115]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) 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(824, 21, F8, 2, 21) (dual of [(21, 2), 18, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(824, 24, F8, 2, 21) (dual of [(24, 2), 24, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,26P) [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,26P) [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(824, 24, F8, 2, 21) (dual of [(24, 2), 24, 22]-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(8147, 85, F8, 2, 112) (dual of [(85, 2), 23, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8145, 84, F8, 2, 111) (dual of [(84, 2), 23, 112]-NRT-code) | [i] | Truncation for OOAs | |