Information on Result #910271
Linear OOA(8153, 83, F8, 2, 125) (dual of [(83, 2), 13, 126]-NRT-code), using juxtaposition based on
- linear OOA(823, 18, F8, 2, 20) (dual of [(18, 2), 13, 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
- linear OOA(8117, 65, F8, 2, 104) (dual of [(65, 2), 13, 105]-NRT-code), using
- standard lengthening with (d0,…,d1) = (103,104) [i] based on linear OOA(8115, 64, F8, 2, 102) (dual of [(64, 2), 13, 103]-NRT-code), using algebraic-geometric NRT-code AG(2;F,25P) 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]
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(8153, 83, F8, 2, 124) (dual of [(83, 2), 13, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |