Information on Result #912760
Linear OOA(3108, 60, F3, 2, 71) (dual of [(60, 2), 12, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2711, 15, F27, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,27)), using
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
- Reed–Solomon code RS(16,27) [i]
- discarding factors / shortening the dual code based on linear OA(2711, 27, F27, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), 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(3108, 60, F3, 2, 70) (dual of [(60, 2), 12, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3108, 60, F3, 2, 69) (dual of [(60, 2), 12, 70]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 60, F3, 2, 71) (dual of [(60, 2), 11, 72]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3107, 59, F3, 2, 70) (dual of [(59, 2), 11, 71]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3106, 59, F3, 2, 69) (dual of [(59, 2), 12, 70]-NRT-code) | [i] | ||
| 6 | Linear OOA(3105, 58, F3, 2, 68) (dual of [(58, 2), 11, 69]-NRT-code) | [i] | ||
| 7 | Linear OOA(3104, 58, F3, 2, 67) (dual of [(58, 2), 12, 68]-NRT-code) | [i] | ||
| 8 | Linear OOA(3103, 57, F3, 2, 66) (dual of [(57, 2), 11, 67]-NRT-code) | [i] | ||
| 9 | Linear OOA(3102, 57, F3, 2, 65) (dual of [(57, 2), 12, 66]-NRT-code) | [i] | ||
| 10 | Linear OOA(3101, 56, F3, 2, 64) (dual of [(56, 2), 11, 65]-NRT-code) | [i] | ||
| 11 | Linear OOA(3108, 30, F3, 4, 71) (dual of [(30, 4), 12, 72]-NRT-code) | [i] | OOA Folding | |