Information on Result #638591
Linear OA(798, 112, F7, 65) (dual of [112, 14, 66]-code), using concatenation of two codes based on
- linear OA(4921, 28, F49, 21) (dual of [28, 7, 22]-code or 28-arc in PG(20,49)), using
- discarding factors / shortening the dual code based on linear OA(4921, 49, F49, 21) (dual of [49, 28, 22]-code or 49-arc in PG(20,49)), using
- Reed–Solomon code RS(28,49) [i]
- discarding factors / shortening the dual code based on linear OA(4921, 49, F49, 21) (dual of [49, 28, 22]-code or 49-arc in PG(20,49)), using
- linear OA(72, 4, F7, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,7)), using
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
- Reed–Solomon code RS(5,7) [i]
- discarding factors / shortening the dual code based on linear OA(72, 7, F7, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), 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(798, 112, F7, 64) (dual of [112, 14, 65]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(797, 111, F7, 64) (dual of [111, 14, 65]-code) | [i] | Truncation | |
| 3 | Linear OA(796, 110, F7, 63) (dual of [110, 14, 64]-code) | [i] | ||
| 4 | Linear OA(795, 109, F7, 62) (dual of [109, 14, 63]-code) | [i] | ||
| 5 | Linear OA(793, 107, F7, 60) (dual of [107, 14, 61]-code) | [i] | ||
| 6 | Linear OOA(798, 56, F7, 2, 65) (dual of [(56, 2), 14, 66]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(798, 37, F7, 3, 65) (dual of [(37, 3), 13, 66]-NRT-code) | [i] | ||