Information on Result #912755
Linear OOA(3100, 56, F3, 2, 65) (dual of [(56, 2), 12, 66]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2710, 14, F27, 10) (dual of [14, 4, 11]-code or 14-arc in PG(9,27)), using
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
- Reed–Solomon code RS(17,27) [i]
- discarding factors / shortening the dual code based on linear OA(2710, 27, F27, 10) (dual of [27, 17, 11]-code or 27-arc in PG(9,27)), using
- linear OOA(35, 4, F3, 2, 5) (dual of [(4, 2), 3, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,3) [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(3100, 56, F3, 2, 64) (dual of [(56, 2), 12, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3100, 56, F3, 2, 63) (dual of [(56, 2), 12, 64]-NRT-code) | [i] | ||
| 3 | Linear OOA(3101, 56, F3, 2, 65) (dual of [(56, 2), 11, 66]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(399, 55, F3, 2, 64) (dual of [(55, 2), 11, 65]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(398, 55, F3, 2, 63) (dual of [(55, 2), 12, 64]-NRT-code) | [i] | ||
| 6 | Linear OOA(397, 54, F3, 2, 62) (dual of [(54, 2), 11, 63]-NRT-code) | [i] | ||
| 7 | Linear OOA(396, 54, F3, 2, 61) (dual of [(54, 2), 12, 62]-NRT-code) | [i] | ||
| 8 | Linear OOA(395, 53, F3, 2, 60) (dual of [(53, 2), 11, 61]-NRT-code) | [i] | ||
| 9 | Linear OOA(394, 53, F3, 2, 59) (dual of [(53, 2), 12, 60]-NRT-code) | [i] | ||
| 10 | Linear OOA(393, 52, F3, 2, 58) (dual of [(52, 2), 11, 59]-NRT-code) | [i] | ||
| 11 | Linear OOA(3100, 28, F3, 4, 65) (dual of [(28, 4), 12, 66]-NRT-code) | [i] | OOA Folding | |