Information on Result #655626
Linear OA(8156, 378, F81, 36) (dual of [378, 322, 37]-code), using construction X applied to AG(F,332P) ⊂ AG(F,337P) based on
- linear OA(8152, 369, F81, 36) (dual of [369, 317, 37]-code), using algebraic-geometric code AG(F,332P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OA(8147, 369, F81, 31) (dual of [369, 322, 32]-code), using algebraic-geometric code AG(F,337P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OA(814, 9, F81, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), 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(9112, 756, F9, 36) (dual of [756, 644, 37]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8156, 189, F81, 2, 36) (dual of [(189, 2), 322, 37]-NRT-code) | [i] | OOA Folding | |