Information on Result #2212160
Linear OA(7100, 110, F7, 70) (dual of [110, 10, 71]-code), using strength reduction based on linear OA(7100, 110, F7, 71) (dual of [110, 10, 72]-code), using
- concatenation of two codes [i] based on
- linear OA(4917, 22, F49, 17) (dual of [22, 5, 18]-code or 22-arc in PG(16,49)), using
- discarding factors / shortening the dual code based on linear OA(4917, 49, F49, 17) (dual of [49, 32, 18]-code or 49-arc in PG(16,49)), using
- Reed–Solomon code RS(32,49) [i]
- discarding factors / shortening the dual code based on linear OA(4917, 49, F49, 17) (dual of [49, 32, 18]-code or 49-arc in PG(16,49)), using
- linear OA(73, 5, F7, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)), using
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- Reed–Solomon code RS(4,7) [i]
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- linear OA(4917, 22, F49, 17) (dual of [22, 5, 18]-code or 22-arc in PG(16,49)), 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(7100, 55, F7, 2, 70) (dual of [(55, 2), 10, 71]-NRT-code) | [i] | OOA Folding | |