Information on Result #606418
Linear OA(2721, 27, F27, 21) (dual of [27, 6, 22]-code or 27-arc in PG(20,27)), using Reed–Solomon code RS(6,27)
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 OA(2769, 72, F27, 65) (dual of [72, 3, 66]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2797, 101, F27, 89) (dual of [101, 4, 90]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(2759, 62, F27, 56) (dual of [62, 3, 57]-code) | [i] | ||
| 4 | Linear OA(2783, 86, F27, 78) (dual of [86, 3, 79]-code) | [i] | ||
| 5 | Linear OA(3198, 216, F3, 109) (dual of [216, 18, 110]-code) | [i] | Concatenation of Two Codes | |
| 6 | Linear OA(3193, 208, F3, 109) (dual of [208, 15, 110]-code) | [i] | ||
| 7 | Linear OA(3188, 200, F3, 109) (dual of [200, 12, 110]-code) | [i] | ||
| 8 | Linear OA(3183, 192, F3, 109) (dual of [192, 9, 110]-code) | [i] | ||
| 9 | Linear OA(3219, 234, F3, 131) (dual of [234, 15, 132]-code) | [i] | ||
| 10 | Linear OA(3213, 225, F3, 131) (dual of [225, 12, 132]-code) | [i] | ||
| 11 | Linear OA(3207, 216, F3, 131) (dual of [216, 9, 132]-code) | [i] | ||
| 12 | Linear OOA(3144, 81, F3, 2, 87) (dual of [(81, 2), 18, 88]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 13 | Linear OOA(3141, 78, F3, 2, 87) (dual of [(78, 2), 15, 88]-NRT-code) | [i] | ||
| 14 | Linear OOA(3138, 75, F3, 2, 87) (dual of [(75, 2), 12, 88]-NRT-code) | [i] | ||
| 15 | Linear OOA(3135, 72, F3, 2, 87) (dual of [(72, 2), 9, 88]-NRT-code) | [i] | ||
| 16 | Linear OOA(3198, 108, F3, 2, 131) (dual of [(108, 2), 18, 132]-NRT-code) | [i] | ||
| 17 | Linear OOA(3193, 104, F3, 2, 131) (dual of [(104, 2), 15, 132]-NRT-code) | [i] | ||
| 18 | Linear OOA(3188, 100, F3, 2, 131) (dual of [(100, 2), 12, 132]-NRT-code) | [i] | ||
| 19 | Linear OOA(3183, 96, F3, 2, 131) (dual of [(96, 2), 9, 132]-NRT-code) | [i] | ||
| 20 | Linear OOA(3225, 81, F3, 3, 153) (dual of [(81, 3), 18, 154]-NRT-code) | [i] | ||
| 21 | Linear OOA(3219, 78, F3, 3, 153) (dual of [(78, 3), 15, 154]-NRT-code) | [i] | ||
| 22 | Linear OOA(3213, 75, F3, 3, 153) (dual of [(75, 3), 12, 154]-NRT-code) | [i] | ||