Information on Result #913415
Linear OOA(486, 45, F4, 2, 71) (dual of [(45, 2), 4, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(167, 9, F16, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,16)), using
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- Reed–Solomon code RS(9,16) [i]
- discarding factors / shortening the dual code based on linear OA(167, 16, F16, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
- linear OOA(48, 5, F4, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(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(486, 45, F4, 2, 70) (dual of [(45, 2), 4, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(485, 44, F4, 2, 70) (dual of [(44, 2), 3, 71]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(483, 43, F4, 2, 68) (dual of [(43, 2), 3, 69]-NRT-code) | [i] | ||
| 4 | Linear OOA(482, 43, F4, 2, 67) (dual of [(43, 2), 4, 68]-NRT-code) | [i] | ||
| 5 | Linear OOA(481, 42, F4, 2, 66) (dual of [(42, 2), 3, 67]-NRT-code) | [i] | ||
| 6 | Linear OOA(478, 41, F4, 2, 63) (dual of [(41, 2), 4, 64]-NRT-code) | [i] | ||