Information on Result #658578

Linear OA(528, 32, F5, 23) (dual of [32, 4, 24]-code), using construction X applied to C1 ⊂ C2 with C1 a [26,1,25]-code based on
  1. linear OA(522, 26, F5, 19) (dual of [26, 4, 20]-code), using projective code from ovoid in PG(3, 5) [i]
  2. linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), 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(527, 31, F5, 22) (dual of [31, 4, 23]-code) [i]Truncation
2Linear OA(525, 29, F5, 20) (dual of [29, 4, 21]-code) [i]
3Linear OA(551, 55, F5, 40) (dual of [55, 4, 41]-code) [i]Juxtaposition
4Linear OA(552, 56, F5, 41) (dual of [56, 4, 42]-code) [i]
5Linear OA(553, 57, F5, 42) (dual of [57, 4, 43]-code) [i]
6Linear OA(554, 58, F5, 43) (dual of [58, 4, 44]-code) [i]
7Linear OOA(528, 16, F5, 2, 23) (dual of [(16, 2), 4, 24]-NRT-code) [i]OOA Folding