Information on Result #909798
Linear OOA(492, 48, F4, 2, 72) (dual of [(48, 2), 4, 73]-NRT-code), using juxtaposition based on
- linear OOA(44, 4, F4, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;4,4) [i]
- linear OOA(484, 44, F4, 2, 67) (dual of [(44, 2), 4, 68]-NRT-code), using
- strength reduction [i] based on linear OOA(484, 44, F4, 2, 69) (dual of [(44, 2), 4, 70]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OA(169, 11, F16, 9) (dual of [11, 2, 10]-code or 11-arc in PG(8,16)), using
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- Reed–Solomon code RS(7,16) [i]
- discarding factors / shortening the dual code based on linear OA(169, 16, F16, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
- linear OOA(46, 4, F4, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;2,4) [i]
- linear OA(169, 11, F16, 9) (dual of [11, 2, 10]-code or 11-arc in PG(8,16)), using
- concatenation of two NRT-codes [i] based on
- strength reduction [i] based on linear OOA(484, 44, F4, 2, 69) (dual of [(44, 2), 4, 70]-NRT-code), 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(492, 48, F4, 2, 71) (dual of [(48, 2), 4, 72]-NRT-code) | [i] | Strength Reduction for OOAs | |