Information on Result #647658

Linear OA(2774, 75, F27, 74) (dual of [75, 1, 75]-code or 75-arc in PG(73,27)), using algebraic-geometric code AG(F,0P) based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(2774, 75, F27, 73) (dual of [75, 1, 74]-code) [i]Strength Reduction
2Linear OA(2790, 103, F27, 73) (dual of [103, 13, 74]-code) [i]Construction X with Algebraic-Geometric Codes
3Linear OA(2796, 113, F27, 74) (dual of [113, 17, 75]-code) [i]
4Linear OA(2799, 118, F27, 74) (dual of [118, 19, 75]-code) [i]
5Linear OA(27100, 120, F27, 74) (dual of [120, 20, 75]-code) [i]
6Linear OA(27101, 122, F27, 74) (dual of [122, 21, 75]-code) [i]
7Linear OA(27101, 123, F27, 73) (dual of [123, 22, 74]-code) [i]
8Linear OA(27100, 123, F27, 71) (dual of [123, 23, 72]-code) [i]
9Linear OA(2799, 123, F27, 69) (dual of [123, 24, 70]-code) [i]
10Linear OA(27108, 134, F27, 74) (dual of [134, 26, 75]-code) [i]
11Linear OA(27109, 136, F27, 74) (dual of [136, 27, 75]-code) [i]
12Linear OA(27110, 138, F27, 74) (dual of [138, 28, 75]-code) [i]
13Linear OA(27110, 139, F27, 73) (dual of [139, 29, 74]-code) [i]
14Linear OA(2791, 104, F27, 74) (dual of [104, 13, 75]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes