Information on Result #912761
Linear OOA(3103, 56, F3, 2, 71) (dual of [(56, 2), 9, 72]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(2711, 14, F27, 11) (dual of [14, 3, 12]-code or 14-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(3103, 56, F3, 2, 70) (dual of [(56, 2), 9, 71]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3103, 56, F3, 2, 69) (dual of [(56, 2), 9, 70]-NRT-code) | [i] | ||
| 3 | Linear OOA(3103, 56, F3, 2, 68) (dual of [(56, 2), 9, 69]-NRT-code) | [i] | ||
| 4 | Linear OOA(3103, 56, F3, 2, 67) (dual of [(56, 2), 9, 68]-NRT-code) | [i] | ||
| 5 | Linear OOA(3104, 56, F3, 2, 71) (dual of [(56, 2), 8, 72]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3102, 55, F3, 2, 70) (dual of [(55, 2), 8, 71]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3101, 55, F3, 2, 69) (dual of [(55, 2), 9, 70]-NRT-code) | [i] | ||
| 8 | Linear OOA(3100, 54, F3, 2, 68) (dual of [(54, 2), 8, 69]-NRT-code) | [i] | ||
| 9 | Linear OOA(399, 54, F3, 2, 67) (dual of [(54, 2), 9, 68]-NRT-code) | [i] | ||
| 10 | Linear OOA(398, 53, F3, 2, 66) (dual of [(53, 2), 8, 67]-NRT-code) | [i] | ||
| 11 | Linear OOA(397, 53, F3, 2, 65) (dual of [(53, 2), 9, 66]-NRT-code) | [i] | ||
| 12 | Linear OOA(396, 52, F3, 2, 64) (dual of [(52, 2), 8, 65]-NRT-code) | [i] | ||
| 13 | Linear OOA(3103, 28, F3, 4, 71) (dual of [(28, 4), 9, 72]-NRT-code) | [i] | OOA Folding | |