Information on Result #647798

Linear OA(2750, 81, F27, 43) (dual of [81, 31, 44]-code), using algebraic-geometric code AG(F,37P) based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, 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(3231, 324, F3, 87) (dual of [324, 93, 88]-code) [i]Concatenation of Two Codes
2Linear OA(3230, 320, F3, 87) (dual of [320, 90, 88]-code) [i]
3Linear OA(3229, 316, F3, 87) (dual of [316, 87, 88]-code) [i]
4Linear OA(3228, 312, F3, 87) (dual of [312, 84, 88]-code) [i]
5Linear OA(2786, 117, F27, 61) (dual of [117, 31, 62]-code) [i]Construction X with Algebraic-Geometric Codes
6Linear OA(2768, 117, F27, 43) (dual of [117, 49, 44]-code) [i]
7Linear OA(2788, 119, F27, 62) (dual of [119, 31, 63]-code) [i]
8Linear OA(2769, 119, F27, 43) (dual of [119, 50, 44]-code) [i]
9Linear OA(2791, 122, F27, 63) (dual of [122, 31, 64]-code) [i]
10Linear OA(2793, 124, F27, 64) (dual of [124, 31, 65]-code) [i]
11Linear OA(2795, 126, F27, 65) (dual of [126, 31, 66]-code) [i]
12Linear OA(2797, 128, F27, 66) (dual of [128, 31, 67]-code) [i]
13Linear OA(27100, 131, F27, 67) (dual of [131, 31, 68]-code) [i]
14Linear OA(27102, 133, F27, 68) (dual of [133, 31, 69]-code) [i]
15Linear OA(27107, 138, F27, 70) (dual of [138, 31, 71]-code) [i]