Information on Result #910488
Linear OOA(8150, 77, F8, 2, 137) (dual of [(77, 2), 4, 138]-NRT-code), using juxtaposition based on
- linear OOA(820, 12, F8, 2, 19) (dual of [(12, 2), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(820, 14, F8, 2, 19) (dual of [(14, 2), 8, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,8P) [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(820, 14, F8, 2, 19) (dual of [(14, 2), 8, 20]-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(8150, 77, F8, 2, 136) (dual of [(77, 2), 4, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8150, 77, F8, 2, 135) (dual of [(77, 2), 4, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(8150, 77, F8, 2, 134) (dual of [(77, 2), 4, 135]-NRT-code) | [i] | ||