Information on Result #910497
Linear OOA(8158, 81, F8, 2, 144) (dual of [(81, 2), 4, 145]-NRT-code), using juxtaposition based on
- linear OOA(828, 16, F8, 2, 26) (dual of [(16, 2), 4, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(828, 17, F8, 2, 26) (dual of [(17, 2), 6, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(828, 17, F8, 2, 26) (dual of [(17, 2), 6, 27]-NRT-code), using
- linear OOA(8126, 65, F8, 2, 117) (dual of [(65, 2), 4, 118]-NRT-code), using
- standard lengthening with (d0,…,d1) = (116,117) [i] based on linear OOA(8124, 64, F8, 2, 115) (dual of [(64, 2), 4, 116]-NRT-code), using algebraic-geometric NRT-code AG(2;F,12P) 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(8158, 81, F8, 2, 143) (dual of [(81, 2), 4, 144]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8158, 81, F8, 2, 142) (dual of [(81, 2), 4, 143]-NRT-code) | [i] | ||
| 3 | Linear OOA(8158, 81, F8, 2, 141) (dual of [(81, 2), 4, 142]-NRT-code) | [i] | ||