Information on Result #638507
Linear OA(7104, 126, F7, 63) (dual of [126, 22, 64]-code), using concatenation of two codes based on
- linear OA(4931, 42, F49, 31) (dual of [42, 11, 32]-code or 42-arc in PG(30,49)), using
- discarding factors / shortening the dual code based on linear OA(4931, 49, F49, 31) (dual of [49, 18, 32]-code or 49-arc in PG(30,49)), using
- Reed–Solomon code RS(18,49) [i]
- discarding factors / shortening the dual code based on linear OA(4931, 49, F49, 31) (dual of [49, 18, 32]-code or 49-arc in PG(30,49)), 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 OOA(7104, 63, F7, 2, 63) (dual of [(63, 2), 22, 64]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(7104, 42, F7, 3, 63) (dual of [(42, 3), 22, 64]-NRT-code) | [i] | ||