Information on Result #649700
Linear OA(2782, 134, F27, 51) (dual of [134, 52, 52]-code), using construction X applied to AG(F,41P) ⊂ AG(F,61P) based on
- linear OA(2761, 93, F27, 51) (dual of [93, 32, 52]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- 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 (see above)
- linear OA(2721, 41, F27, 19) (dual of [41, 20, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2721, 48, F27, 19) (dual of [48, 27, 20]-code), using
- extended algebraic-geometric code AGe(F,28P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(2721, 48, F27, 19) (dual of [48, 27, 20]-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(2782, 67, F27, 2, 51) (dual of [(67, 2), 52, 52]-NRT-code) | [i] | OOA Folding | |