Information on Result #2212510

Linear OA(850, 57, F8, 41) (dual of [57, 7, 42]-code), using strength reduction based on linear OA(850, 57, F8, 42) (dual of [57, 7, 43]-code), 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:

ResultThis
result
only
Method
1Linear OA(849, 56, F8, 40) (dual of [56, 7, 41]-code) [i]Truncation
2Linear OA(848, 55, F8, 39) (dual of [55, 7, 40]-code) [i]
3Linear OA(847, 54, F8, 38) (dual of [54, 7, 39]-code) [i]
4Linear OA(846, 53, F8, 37) (dual of [53, 7, 38]-code) [i]
5Linear OA(845, 52, F8, 36) (dual of [52, 7, 37]-code) [i]
6Linear OA(844, 51, F8, 35) (dual of [51, 7, 36]-code) [i]
7Linear OA(843, 50, F8, 34) (dual of [50, 7, 35]-code) [i]
8Linear OA(841, 48, F8, 32) (dual of [48, 7, 33]-code) [i]
9Linear OA(840, 47, F8, 31) (dual of [47, 7, 32]-code) [i]
10Linear OA(839, 46, F8, 30) (dual of [46, 7, 31]-code) [i]
11Linear OA(8105, 110, F8, 83) (dual of [110, 5, 84]-code) [i]Repeating Each Code Word
12Linear OA(8160, 165, F8, 125) (dual of [165, 5, 126]-code) [i]