Information on Result #647754
Linear OA(27102, 118, F27, 80) (dual of [118, 16, 81]-code), using construction X applied to AG(F,0P) ⊂ AG(F,22P) based on
- linear OA(2780, 81, F27, 80) (dual of [81, 1, 81]-code or 81-arc in PG(79,27)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- linear OA(2765, 81, F27, 58) (dual of [81, 16, 59]-code), using algebraic-geometric code AG(F,22P) [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82 (see above)
- linear OA(2722, 37, F27, 21) (dual of [37, 15, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2722, 38, F27, 21) (dual of [38, 16, 22]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- discarding factors / shortening the dual code based on linear OA(2722, 38, F27, 21) (dual of [38, 16, 22]-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(27102, 59, F27, 2, 80) (dual of [(59, 2), 16, 81]-NRT-code) | [i] | OOA Folding | |