Information on Result #910458
Linear OOA(8151, 78, F8, 2, 137) (dual of [(78, 2), 5, 138]-NRT-code), using juxtaposition based on
- linear OOA(821, 13, F8, 2, 20) (dual of [(13, 2), 5, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(821, 14, F8, 2, 20) (dual of [(14, 2), 7, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [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(821, 14, F8, 2, 20) (dual of [(14, 2), 7, 21]-NRT-code), using
- linear OOA(8125, 65, F8, 2, 116) (dual of [(65, 2), 5, 117]-NRT-code), using
- standard lengthening with (d0,…,d1) = (115,116) [i] 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]
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(8151, 78, F8, 2, 136) (dual of [(78, 2), 5, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8151, 78, F8, 2, 135) (dual of [(78, 2), 5, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(8151, 78, F8, 2, 134) (dual of [(78, 2), 5, 135]-NRT-code) | [i] | ||
| 4 | Linear OOA(8151, 78, F8, 2, 133) (dual of [(78, 2), 5, 134]-NRT-code) | [i] | ||