Information on Result #1321710
Linear OA(797, 110, F7, 67) (dual of [110, 13, 68]-code), using construction X with Varšamov bound based on
- linear OA(796, 108, F7, 67) (dual of [108, 12, 68]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(789, 99, F7, 67) (dual of [99, 10, 68]-code), using
- 1 times truncation [i] based on linear OA(790, 100, F7, 68) (dual of [100, 10, 69]-code), using
- a “Hristov†code from Grassl’s database [i]
- 1 times truncation [i] based on linear OA(790, 100, F7, 68) (dual of [100, 10, 69]-code), using
- linear OA(789, 101, F7, 61) (dual of [101, 12, 62]-code), using Gilbert–Varšamov bound and bm = 789 > Vbs−1(k−1) = 885 021809 500702 949323 585498 997265 111974 311209 824897 373971 941947 899939 265121 [i]
- linear OA(75, 7, F7, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,7)), using
- Reed–Solomon code RS(2,7) [i]
- linear OA(789, 99, F7, 67) (dual of [99, 10, 68]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(796, 109, F7, 66) (dual of [109, 13, 67]-code), using Gilbert–Varšamov bound and bm = 796 > Vbs−1(k−1) = 1335 221673 541022 744968 897364 770637 304704 296884 366118 604787 499645 273438 884347 124001 [i]
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(798, 112, F7, 67) (dual of [112, 14, 68]-code) | [i] | Construction X with Varšamov Bound | |