Information on Result #638493
Linear OA(7102, 126, F7, 61) (dual of [126, 24, 62]-code), using concatenation of two codes based on
- linear OA(4930, 42, F49, 30) (dual of [42, 12, 31]-code or 42-arc in PG(29,49)), using
- discarding factors / shortening the dual code based on linear OA(4930, 49, F49, 30) (dual of [49, 19, 31]-code or 49-arc in PG(29,49)), using
- Reed–Solomon code RS(19,49) [i]
- discarding factors / shortening the dual code based on linear OA(4930, 49, F49, 30) (dual of [49, 19, 31]-code or 49-arc in PG(29,49)), 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(7101, 125, F7, 60) (dual of [125, 24, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(7102, 63, F7, 2, 61) (dual of [(63, 2), 24, 62]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7102, 42, F7, 3, 61) (dual of [(42, 3), 24, 62]-NRT-code) | [i] | ||