Information on Result #638455
Linear OA(7105, 147, F7, 57) (dual of [147, 42, 58]-code), using concatenation of two codes based on
- linear OA(4928, 49, F49, 28) (dual of [49, 21, 29]-code or 49-arc in PG(27,49)), using
- Reed–Solomon code RS(21,49) [i]
- 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(7104, 146, F7, 56) (dual of [146, 42, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(7105, 73, F7, 2, 57) (dual of [(73, 2), 41, 58]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7105, 49, F7, 3, 57) (dual of [(49, 3), 42, 58]-NRT-code) | [i] | ||