Information on Result #642443
Linear OA(2578, 82, F25, 71) (dual of [82, 4, 72]-code), using juxtaposition based on
- linear OA(2512, 16, F25, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,25)), using
- discarding factors / shortening the dual code based on linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
- Reed–Solomon code RS(13,25) [i]
- discarding factors / shortening the dual code based on linear OA(2512, 25, F25, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,25)), using
- linear OA(2562, 66, F25, 58) (dual of [66, 4, 59]-code), using
- extended algebraic-geometric code AGe(F,7P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, 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(2578, 41, F25, 2, 71) (dual of [(41, 2), 4, 72]-NRT-code) | [i] | OOA Folding | |