Information on Result #638516
Linear OA(7108, 132, F7, 65) (dual of [132, 24, 66]-code), using concatenation of two codes based on
- linear OA(4932, 44, F49, 32) (dual of [44, 12, 33]-code or 44-arc in PG(31,49)), using
- discarding factors / shortening the dual code based on linear OA(4932, 49, F49, 32) (dual of [49, 17, 33]-code or 49-arc in PG(31,49)), using
- Reed–Solomon code RS(17,49) [i]
- discarding factors / shortening the dual code based on linear OA(4932, 49, F49, 32) (dual of [49, 17, 33]-code or 49-arc in PG(31,49)), 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(7107, 131, F7, 64) (dual of [131, 24, 65]-code) | [i] | Truncation | |
| 2 | Linear OOA(7108, 66, F7, 2, 65) (dual of [(66, 2), 24, 66]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(7108, 44, F7, 3, 65) (dual of [(44, 3), 24, 66]-NRT-code) | [i] | ||