Information on Result #913333
Linear OOA(498, 52, F4, 2, 76) (dual of [(52, 2), 6, 77]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 13, F16, 10) (dual of [13, 3, 11]-code or 13-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), 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]
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(498, 52, F4, 2, 75) (dual of [(52, 2), 6, 76]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(498, 52, F4, 2, 74) (dual of [(52, 2), 6, 75]-NRT-code) | [i] | ||
| 3 | Linear OOA(498, 52, F4, 2, 73) (dual of [(52, 2), 6, 74]-NRT-code) | [i] | ||
| 4 | Linear OOA(498, 52, F4, 2, 72) (dual of [(52, 2), 6, 73]-NRT-code) | [i] | ||
| 5 | Linear OOA(497, 51, F4, 2, 75) (dual of [(51, 2), 5, 76]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(494, 50, F4, 2, 72) (dual of [(50, 2), 6, 73]-NRT-code) | [i] | ||
| 7 | Linear OOA(492, 49, F4, 2, 70) (dual of [(49, 2), 6, 71]-NRT-code) | [i] | ||