Information on Result #649419
Linear OA(2753, 118, F27, 31) (dual of [118, 65, 32]-code), using construction X applied to AG(F,61P) ⊂ AG(F,74P) based on
- linear OA(2741, 93, F27, 31) (dual of [93, 52, 32]-code), using algebraic-geometric code AG(F,61P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- linear OA(2728, 93, F27, 18) (dual of [93, 65, 19]-code), using algebraic-geometric code AG(F,74P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94 (see above)
- linear OA(2712, 25, F27, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,27)), using
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), using
- Reed–Solomon code RS(15,27) [i]
- discarding factors / shortening the dual code based on linear OA(2712, 27, F27, 12) (dual of [27, 15, 13]-code or 27-arc in PG(11,27)), 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(2753, 59, F27, 2, 31) (dual of [(59, 2), 65, 32]-NRT-code) | [i] | OOA Folding | |