Information on Result #913419
Linear OOA(4132, 70, F4, 2, 98) (dual of [(70, 2), 8, 99]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1610, 14, F16, 10) (dual of [14, 4, 11]-code or 14-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(4132, 70, F4, 2, 97) (dual of [(70, 2), 8, 98]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4132, 70, F4, 2, 96) (dual of [(70, 2), 8, 97]-NRT-code) | [i] | ||
| 3 | Linear OOA(4131, 69, F4, 2, 97) (dual of [(69, 2), 7, 98]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(4130, 69, F4, 2, 96) (dual of [(69, 2), 8, 97]-NRT-code) | [i] | ||
| 5 | Linear OOA(4127, 67, F4, 2, 93) (dual of [(67, 2), 7, 94]-NRT-code) | [i] | ||
| 6 | Linear OOA(4126, 67, F4, 2, 92) (dual of [(67, 2), 8, 93]-NRT-code) | [i] | ||
| 7 | Linear OOA(4125, 66, F4, 2, 91) (dual of [(66, 2), 7, 92]-NRT-code) | [i] | ||
| 8 | Linear OOA(4124, 66, F4, 2, 90) (dual of [(66, 2), 8, 91]-NRT-code) | [i] | ||
| 9 | Linear OOA(4122, 65, F4, 2, 88) (dual of [(65, 2), 8, 89]-NRT-code) | [i] | ||