Information on Result #638549
Linear OA(770, 84, F7, 44) (dual of [84, 14, 45]-code), using concatenation of two codes based on
- linear OA(4914, 21, F49, 14) (dual of [21, 7, 15]-code or 21-arc in PG(13,49)), using
- discarding factors / shortening the dual code based on linear OA(4914, 49, F49, 14) (dual of [49, 35, 15]-code or 49-arc in PG(13,49)), using
- Reed–Solomon code RS(35,49) [i]
- discarding factors / shortening the dual code based on linear OA(4914, 49, F49, 14) (dual of [49, 35, 15]-code or 49-arc in PG(13,49)), 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(769, 83, F7, 43) (dual of [83, 14, 44]-code) | [i] | Truncation | |
| 2 | Linear OA(768, 82, F7, 42) (dual of [82, 14, 43]-code) | [i] | ||
| 3 | Linear OOA(770, 42, F7, 2, 44) (dual of [(42, 2), 14, 45]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(770, 28, F7, 3, 44) (dual of [(28, 3), 14, 45]-NRT-code) | [i] | ||