Information on Result #938152
Linear OOA(8145, 76, F8, 2, 127) (dual of [(76, 2), 7, 128]-NRT-code), using construction X applied to AG(2;F,0P) ⊂ AG(2;F,18P) based on
- linear OOA(8127, 64, F8, 2, 127) (dual of [(64, 2), 1, 128]-NRT-code), using algebraic-geometric NRT-code AG(2;F,0P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(8121, 64, F8, 2, 109) (dual of [(64, 2), 7, 110]-NRT-code), using algebraic-geometric NRT-code AG(2;F,18P) 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]
- linear OOA(818, 12, F8, 2, 17) (dual of [(12, 2), 6, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(818, 14, F8, 2, 17) (dual of [(14, 2), 10, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,10P) [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(818, 14, F8, 2, 17) (dual of [(14, 2), 10, 18]-NRT-code), using
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(8143, 75, F8, 2, 125) (dual of [(75, 2), 7, 126]-NRT-code) | [i] | Truncation for OOAs | |