Information on Result #658580

Linear OA(756, 60, F7, 48) (dual of [60, 4, 49]-code), using construction X applied to C1 ⊂ C2 with C1 a [50,1,49]-code based on
  1. linear OA(746, 50, F7, 41) (dual of [50, 4, 42]-code), using projective code from ovoid in PG(3, 7) [i]
  2. linear OA(77, 10, F7, 6) (dual of [10, 3, 7]-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(755, 59, F7, 47) (dual of [59, 4, 48]-code) [i]Truncation
2Linear OA(749, 53, F7, 41) (dual of [53, 4, 42]-code) [i]
3Linear OA(748, 52, F7, 40) (dual of [52, 4, 41]-code) [i]
4Linear OA(747, 51, F7, 39) (dual of [51, 4, 40]-code) [i]
5Linear OA(745, 49, F7, 37) (dual of [49, 4, 38]-code) [i]
6Linear OA(743, 47, F7, 35) (dual of [47, 4, 36]-code) [i]
7Linear OA(763, 67, F7, 52) (dual of [67, 4, 53]-code) [i]Juxtaposition
8Linear OA(764, 68, F7, 53) (dual of [68, 4, 54]-code) [i]
9Linear OA(7105, 109, F7, 89) (dual of [109, 4, 90]-code) [i]
10Linear OA(7106, 110, F7, 90) (dual of [110, 4, 91]-code) [i]
11Linear OOA(756, 30, F7, 2, 48) (dual of [(30, 2), 4, 49]-NRT-code) [i]OOA Folding
12Linear OOA(756, 20, F7, 3, 48) (dual of [(20, 3), 4, 49]-NRT-code) [i]