Information on Result #638621
Linear OA(793, 105, F7, 63) (dual of [105, 12, 64]-code), using concatenation of two codes based on
- linear OA(4915, 21, F49, 15) (dual of [21, 6, 16]-code or 21-arc in PG(14,49)), using
- discarding factors / shortening the dual code based on linear OA(4915, 49, F49, 15) (dual of [49, 34, 16]-code or 49-arc in PG(14,49)), using
- Reed–Solomon code RS(34,49) [i]
- discarding factors / shortening the dual code based on linear OA(4915, 49, F49, 15) (dual of [49, 34, 16]-code or 49-arc in PG(14,49)), using
- linear OA(73, 5, F7, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)), using
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
- Reed–Solomon code RS(4,7) [i]
- discarding factors / shortening the dual code based on linear OA(73, 7, F7, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), 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(793, 105, F7, 62) (dual of [105, 12, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(791, 103, F7, 61) (dual of [103, 12, 62]-code) | [i] | Truncation | |
| 3 | Linear OA(790, 102, F7, 60) (dual of [102, 12, 61]-code) | [i] | ||
| 4 | Linear OA(789, 101, F7, 59) (dual of [101, 12, 60]-code) | [i] | ||
| 5 | Linear OA(787, 99, F7, 57) (dual of [99, 12, 58]-code) | [i] | ||
| 6 | Linear OOA(793, 52, F7, 2, 63) (dual of [(52, 2), 11, 64]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(793, 35, F7, 3, 63) (dual of [(35, 3), 12, 64]-NRT-code) | [i] | ||