Information on Result #638596
Linear OA(7106, 124, F7, 68) (dual of [124, 18, 69]-code), using concatenation of two codes based on
- linear OA(4922, 31, F49, 22) (dual of [31, 9, 23]-code or 31-arc in PG(21,49)), using
- discarding factors / shortening the dual code based on linear OA(4922, 49, F49, 22) (dual of [49, 27, 23]-code or 49-arc in PG(21,49)), using
- Reed–Solomon code RS(27,49) [i]
- discarding factors / shortening the dual code based on linear OA(4922, 49, F49, 22) (dual of [49, 27, 23]-code or 49-arc in PG(21,49)), 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(7106, 124, F7, 67) (dual of [124, 18, 68]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(7105, 123, F7, 67) (dual of [123, 18, 68]-code) | [i] | Truncation | |
| 3 | Linear OA(7104, 122, F7, 66) (dual of [122, 18, 67]-code) | [i] | ||
| 4 | Linear OA(7103, 121, F7, 65) (dual of [121, 18, 66]-code) | [i] | ||
| 5 | Linear OA(7101, 119, F7, 63) (dual of [119, 18, 64]-code) | [i] | ||
| 6 | Linear OOA(7106, 62, F7, 2, 68) (dual of [(62, 2), 18, 69]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(7106, 41, F7, 3, 68) (dual of [(41, 3), 17, 69]-NRT-code) | [i] | ||