Information on Result #1321687
Linear OA(790, 106, F7, 60) (dual of [106, 16, 61]-code), using construction X with Varšamov bound based on
- linear OA(785, 99, F7, 60) (dual of [99, 14, 61]-code), using
- 1 times truncation [i] based on linear OA(786, 100, F7, 61) (dual of [100, 14, 62]-code), using
- a “GraQC†code from Grassl’s database [i]
- 1 times truncation [i] based on linear OA(786, 100, F7, 61) (dual of [100, 14, 62]-code), using
- linear OA(785, 101, F7, 56) (dual of [101, 16, 57]-code), using Gilbert–Varšamov bound and bm = 785 > Vbs−1(k−1) = 481205 712947 014214 532626 712556 565315 668308 688135 984403 962996 593119 599201 [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 OOA(790, 53, F7, 2, 60) (dual of [(53, 2), 16, 61]-NRT-code) | [i] | OOA Folding | |