Information on Result #938229
Linear OOA(8138, 77, F8, 2, 113) (dual of [(77, 2), 16, 114]-NRT-code), using construction X applied to AG(2;F,13P) ⊂ AG(2;F,29P) 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(8112, 64, F8, 2, 98) (dual of [(64, 2), 16, 99]-NRT-code), using algebraic-geometric NRT-code AG(2;F,29P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(815, 13, F8, 2, 14) (dual of [(13, 2), 11, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(815, 14, F8, 2, 14) (dual of [(14, 2), 13, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,13P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(815, 14, F8, 2, 14) (dual of [(14, 2), 13, 15]-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(8138, 77, F8, 2, 112) (dual of [(77, 2), 16, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8136, 76, F8, 2, 111) (dual of [(76, 2), 16, 112]-NRT-code) | [i] | Truncation for OOAs | |