Information on Result #655860
Linear OA(8173, 396, F81, 44) (dual of [396, 323, 45]-code), using construction X applied to AG(F,324P) ⊂ AG(F,338P) based on
- linear OA(8160, 369, F81, 44) (dual of [369, 309, 45]-code), using algebraic-geometric code AG(F,324P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8146, 369, F81, 30) (dual of [369, 323, 31]-code), using algebraic-geometric code AG(F,338P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(8113, 27, F81, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,81)), using
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), using
- Reed–Solomon code RS(68,81) [i]
- discarding factors / shortening the dual code based on linear OA(8113, 81, F81, 13) (dual of [81, 68, 14]-code or 81-arc in PG(12,81)), 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 OA(9146, 792, F9, 44) (dual of [792, 646, 45]-code) | [i] | Trace Code | |
2 | Linear OOA(8173, 198, F81, 2, 44) (dual of [(198, 2), 323, 45]-NRT-code) | [i] | OOA Folding |