Information on Result #640545
Linear OA(9147, 177, F9, 89) (dual of [177, 30, 90]-code), using concatenation of two codes based on
- linear OA(8144, 59, F81, 44) (dual of [59, 15, 45]-code or 59-arc in PG(43,81)), using
- discarding factors / shortening the dual code based on linear OA(8144, 81, F81, 44) (dual of [81, 37, 45]-code or 81-arc in PG(43,81)), using
- Reed–Solomon code RS(37,81) [i]
- discarding factors / shortening the dual code based on linear OA(8144, 81, F81, 44) (dual of [81, 37, 45]-code or 81-arc in PG(43,81)), 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 OOA(9147, 59, F9, 3, 89) (dual of [(59, 3), 30, 90]-NRT-code) | [i] | OOA Folding |