Information on Result #638524
Linear OA(7110, 132, F7, 67) (dual of [132, 22, 68]-code), using concatenation of two codes based on
- linear OA(4933, 44, F49, 33) (dual of [44, 11, 34]-code or 44-arc in PG(32,49)), using
- discarding factors / shortening the dual code based on linear OA(4933, 49, F49, 33) (dual of [49, 16, 34]-code or 49-arc in PG(32,49)), using
- Reed–Solomon code RS(16,49) [i]
- discarding factors / shortening the dual code based on linear OA(4933, 49, F49, 33) (dual of [49, 16, 34]-code or 49-arc in PG(32,49)), using
- linear OA(71, 3, F7, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 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 OA(7110, 132, F7, 66) (dual of [132, 22, 67]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(7109, 131, F7, 66) (dual of [131, 22, 67]-code) | [i] | Truncation | |
| 3 | Linear OOA(7110, 66, F7, 2, 67) (dual of [(66, 2), 22, 68]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(7110, 44, F7, 3, 67) (dual of [(44, 3), 22, 68]-NRT-code) | [i] | ||