Information on Result #640066
Linear OA(997, 141, F9, 51) (dual of [141, 44, 52]-code), using concatenation of two codes based on
- linear OA(8125, 47, F81, 25) (dual of [47, 22, 26]-code or 47-arc in PG(24,81)), using
- discarding factors / shortening the dual code based on linear OA(8125, 81, F81, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), using
- Reed–Solomon code RS(56,81) [i]
- discarding factors / shortening the dual code based on linear OA(8125, 81, F81, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), 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(996, 140, F9, 50) (dual of [140, 44, 51]-code) | [i] | Truncation | |
| 2 | Linear OOA(997, 70, F9, 2, 51) (dual of [(70, 2), 43, 52]-NRT-code) | [i] | OOA Folding | |