Information on Result #641279

Linear OA(753, 57, F7, 45) (dual of [57, 4, 46]-code), using juxtaposition based on
  1. 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
  2. linear OA(746, 50, F7, 41) (dual of [50, 4, 42]-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(753, 57, F7, 44) (dual of [57, 4, 45]-code) [i]Strength Reduction
2Linear OA(753, 57, F7, 43) (dual of [57, 4, 44]-code) [i]
3Linear OA(753, 57, F7, 42) (dual of [57, 4, 43]-code) [i]
4Linear OA(760, 64, F7, 49) (dual of [64, 4, 50]-code) [i]Juxtaposition
5Linear OA(761, 65, F7, 50) (dual of [65, 4, 51]-code) [i]
6Linear OOA(753, 19, F7, 3, 45) (dual of [(19, 3), 4, 46]-NRT-code) [i]OOA Folding