Information on Result #637053

Linear OA(4238, 325, F4, 110) (dual of [325, 87, 111]-code), using concatenation of two codes based on
  1. linear OA(6436, 65, F64, 36) (dual of [65, 29, 37]-code or 65-arc in PG(35,64)), using
  2. linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(4238, 325, F4, 109) (dual of [325, 87, 110]-code) [i]Strength Reduction
2Linear OA(4238, 325, F4, 108) (dual of [325, 87, 109]-code) [i]
3Linear OA(4239, 326, F4, 110) (dual of [326, 87, 111]-code) [i]Code Embedding in Larger Space
4Linear OA(4240, 327, F4, 110) (dual of [327, 87, 111]-code) [i]
5Linear OA(4241, 328, F4, 110) (dual of [328, 87, 111]-code) [i]
6Linear OA(4242, 329, F4, 110) (dual of [329, 87, 111]-code) [i]
7Linear OA(4243, 330, F4, 110) (dual of [330, 87, 111]-code) [i]
8Linear OA(4244, 331, F4, 110) (dual of [331, 87, 111]-code) [i]
9Linear OA(4237, 324, F4, 109) (dual of [324, 87, 110]-code) [i]Truncation
10Linear OA(4236, 323, F4, 108) (dual of [323, 87, 109]-code) [i]
11Linear OOA(4238, 162, F4, 2, 110) (dual of [(162, 2), 86, 111]-NRT-code) [i]OOA Folding
12Linear OOA(4238, 108, F4, 3, 110) (dual of [(108, 3), 86, 111]-NRT-code) [i]