Information on Result #2246979
Linear OA(5145, 165, F5, 86) (dual of [165, 20, 87]-code), using 3 times truncation based on linear OA(5148, 168, F5, 89) (dual of [168, 20, 90]-code), using
- concatenation of two codes [i] based on
- linear OA(2532, 42, F25, 29) (dual of [42, 10, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2532, 52, F25, 29) (dual of [52, 20, 30]-code), using
- extended algebraic-geometric code AGe(F,22P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- discarding factors / shortening the dual code based on linear OA(2532, 52, F25, 29) (dual of [52, 20, 30]-code), using
- linear OA(52, 4, F5, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,5)), using
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- Reed–Solomon code RS(3,5) [i]
- discarding factors / shortening the dual code based on linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), using
- linear OA(2532, 42, F25, 29) (dual of [42, 10, 30]-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(5145, 55, F5, 3, 86) (dual of [(55, 3), 20, 87]-NRT-code) | [i] | OOA Folding | |