Information on Result #913420
Linear OOA(4116, 60, F4, 2, 98) (dual of [(60, 2), 4, 99]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 12, F16, 10) (dual of [12, 2, 11]-code or 12-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(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(4114, 59, F4, 2, 96) (dual of [(59, 2), 4, 97]-NRT-code) | [i] | Truncation for OOAs | |
| 2 | Linear OOA(4112, 58, F4, 2, 94) (dual of [(58, 2), 4, 95]-NRT-code) | [i] | ||
| 3 | Linear OOA(4110, 57, F4, 2, 92) (dual of [(57, 2), 4, 93]-NRT-code) | [i] | ||
| 4 | Linear OOA(4104, 54, F4, 2, 86) (dual of [(54, 2), 4, 87]-NRT-code) | [i] | ||
| 5 | Linear OOA(4103, 53, F4, 2, 85) (dual of [(53, 2), 3, 86]-NRT-code) | [i] | ||
| 6 | Linear OOA(4102, 53, F4, 2, 84) (dual of [(53, 2), 4, 85]-NRT-code) | [i] | ||
| 7 | Linear OOA(4101, 52, F4, 2, 83) (dual of [(52, 2), 3, 84]-NRT-code) | [i] | ||
| 8 | Linear OOA(499, 51, F4, 2, 81) (dual of [(51, 2), 3, 82]-NRT-code) | [i] | ||
| 9 | Linear OOA(498, 51, F4, 2, 80) (dual of [(51, 2), 4, 81]-NRT-code) | [i] | ||
| 10 | Linear OOA(494, 49, F4, 2, 76) (dual of [(49, 2), 4, 77]-NRT-code) | [i] | ||
| 11 | Linear OOA(485, 44, F4, 2, 67) (dual of [(44, 2), 3, 68]-NRT-code) | [i] | ||