Information on Result #638441
Linear OA(7101, 141, F7, 55) (dual of [141, 40, 56]-code), using concatenation of two codes based on
- linear OA(4927, 47, F49, 27) (dual of [47, 20, 28]-code or 47-arc in PG(26,49)), using
- discarding factors / shortening the dual code based on linear OA(4927, 49, F49, 27) (dual of [49, 22, 28]-code or 49-arc in PG(26,49)), using
- Reed–Solomon code RS(22,49) [i]
- discarding factors / shortening the dual code based on linear OA(4927, 49, F49, 27) (dual of [49, 22, 28]-code or 49-arc in PG(26,49)), 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(7100, 140, F7, 54) (dual of [140, 40, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(7101, 70, F7, 2, 55) (dual of [(70, 2), 39, 56]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7101, 47, F7, 3, 55) (dual of [(47, 3), 40, 56]-NRT-code) | [i] | ||