Information on Result #642664
Linear OA(2794, 98, F27, 86) (dual of [98, 4, 87]-code), using juxtaposition based on
- linear OA(2718, 22, F27, 18) (dual of [22, 4, 19]-code or 22-arc in PG(17,27)), using
- discarding factors / shortening the dual code based on linear OA(2718, 27, F27, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using
- Reed–Solomon code RS(9,27) [i]
- discarding factors / shortening the dual code based on linear OA(2718, 27, F27, 18) (dual of [27, 9, 19]-code or 27-arc in PG(17,27)), using
- linear OA(2772, 76, F27, 67) (dual of [76, 4, 68]-code), using
- repeating each code word 2 times [i] based on linear OA(2734, 38, F27, 33) (dual of [38, 4, 34]-code), using
- extended algebraic-geometric code AGe(F,4P) [i] based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, using
- repeating each code word 2 times [i] based on linear OA(2734, 38, F27, 33) (dual of [38, 4, 34]-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(2794, 49, F27, 2, 86) (dual of [(49, 2), 4, 87]-NRT-code) | [i] | OOA Folding | |