Information on Result #910340
Linear OOA(8162, 86, F8, 2, 137) (dual of [(86, 2), 10, 138]-NRT-code), using juxtaposition based on
- linear OOA(832, 21, F8, 2, 29) (dual of [(21, 2), 10, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(832, 24, F8, 2, 29) (dual of [(24, 2), 16, 30]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,18P) [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,18P) [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(832, 24, F8, 2, 29) (dual of [(24, 2), 16, 30]-NRT-code), using
- linear OOA(8120, 65, F8, 2, 107) (dual of [(65, 2), 10, 108]-NRT-code), using
- standard lengthening with (d0,…,d1) = (106,107) [i] based on linear OOA(8118, 64, F8, 2, 105) (dual of [(64, 2), 10, 106]-NRT-code), using algebraic-geometric NRT-code AG(2;F,22P) 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(8162, 86, F8, 2, 136) (dual of [(86, 2), 10, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |