Information on Result #640087
Linear OA(998, 138, F9, 53) (dual of [138, 40, 54]-code), using concatenation of two codes based on
- linear OA(8126, 46, F81, 26) (dual of [46, 20, 27]-code or 46-arc in PG(25,81)), using
- discarding factors / shortening the dual code based on linear OA(8126, 81, F81, 26) (dual of [81, 55, 27]-code or 81-arc in PG(25,81)), using
- Reed–Solomon code RS(55,81) [i]
- discarding factors / shortening the dual code based on linear OA(8126, 81, F81, 26) (dual of [81, 55, 27]-code or 81-arc in PG(25,81)), using
- linear OA(91, 3, F9, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OA(997, 137, F9, 52) (dual of [137, 40, 53]-code) | [i] | Truncation | |
| 2 | Linear OOA(998, 69, F9, 2, 53) (dual of [(69, 2), 40, 54]-NRT-code) | [i] | OOA Folding | |