Information on Result #640018
Linear OA(988, 132, F9, 45) (dual of [132, 44, 46]-code), using concatenation of two codes based on
- linear OA(8122, 44, F81, 22) (dual of [44, 22, 23]-code or 44-arc in PG(21,81)), using
- discarding factors / shortening the dual code based on linear OA(8122, 81, F81, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), using
- Reed–Solomon code RS(59,81) [i]
- discarding factors / shortening the dual code based on linear OA(8122, 81, F81, 22) (dual of [81, 59, 23]-code or 81-arc in PG(21,81)), 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(987, 131, F9, 44) (dual of [131, 44, 45]-code) | [i] | Truncation | |
2 | Linear OOA(988, 66, F9, 2, 45) (dual of [(66, 2), 44, 46]-NRT-code) | [i] | OOA Folding |