Information on Result #1321684
Linear OA(789, 106, F7, 59) (dual of [106, 17, 60]-code), using construction X with Varšamov bound based on
- linear OA(784, 99, F7, 59) (dual of [99, 15, 60]-code), using
- a “GraX†code from Grassl’s database [i]
- linear OA(784, 101, F7, 55) (dual of [101, 17, 56]-code), using Gilbert–Varšamov bound and bm = 784 > Vbs−1(k−1) = 94990 075790 977038 031939 284236 231026 268103 205557 217102 177198 213068 102241 [i]
- 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: 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(790, 108, F7, 59) (dual of [108, 18, 60]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(789, 53, F7, 2, 59) (dual of [(53, 2), 17, 60]-NRT-code) | [i] | OOA Folding | |