Information on Result #916274
Linear OOA(3155, 112, F3, 2, 67) (dual of [(112, 2), 69, 68]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(2733, 28, F27, 2, 33) (dual of [(28, 2), 23, 34]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;23,27) [i]
- linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(3155, 112, F3, 2, 66) (dual of [(112, 2), 69, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3157, 113, F3, 2, 67) (dual of [(113, 2), 69, 68]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3156, 112, F3, 2, 67) (dual of [(112, 2), 68, 68]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3154, 111, F3, 2, 66) (dual of [(111, 2), 68, 67]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3155, 56, F3, 4, 67) (dual of [(56, 4), 69, 68]-NRT-code) | [i] | OOA Folding | |