Information on Result #638626

Linear OA(7100, 110, F7, 71) (dual of [110, 10, 72]-code), using concatenation of two codes based on
  1. linear OA(4917, 22, F49, 17) (dual of [22, 5, 18]-code or 22-arc in PG(16,49)), using
  2. linear OA(73, 5, F7, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)), 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(7100, 110, F7, 70) (dual of [110, 10, 71]-code) [i]Strength Reduction
2Linear OA(7100, 110, F7, 69) (dual of [110, 10, 70]-code) [i]
3Linear OA(799, 109, F7, 70) (dual of [109, 10, 71]-code) [i]Truncation
4Linear OA(798, 108, F7, 69) (dual of [108, 10, 70]-code) [i]
5Linear OA(797, 107, F7, 68) (dual of [107, 10, 69]-code) [i]
6Linear OA(796, 106, F7, 67) (dual of [106, 10, 68]-code) [i]
7Linear OA(793, 103, F7, 64) (dual of [103, 10, 65]-code) [i]
8Linear OA(792, 102, F7, 63) (dual of [102, 10, 64]-code) [i]
9Linear OA(791, 101, F7, 62) (dual of [101, 10, 63]-code) [i]
10Linear OA(789, 99, F7, 60) (dual of [99, 10, 61]-code) [i]
11Linear OOA(7100, 55, F7, 2, 71) (dual of [(55, 2), 10, 72]-NRT-code) [i]OOA Folding