Information on Result #622981

Linear OA(2731, 38, F27, 30) (dual of [38, 7, 31]-code), using extended algebraic-geometric code AGe(F,7P) based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, 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(27107, 114, F27, 92) (dual of [114, 7, 93]-code) [i]Repeating Each Code Word
2Linear OA(27105, 111, F27, 92) (dual of [111, 6, 93]-code) [i]
3Linear OA(27103, 108, F27, 92) (dual of [108, 5, 93]-code) [i]
4Linear OA(2766, 70, F27, 61) (dual of [70, 4, 62]-code) [i]
5Linear OA(2795, 102, F27, 84) (dual of [102, 7, 85]-code) [i]Juxtaposition
6Linear OA(2799, 106, F27, 87) (dual of [106, 7, 88]-code) [i]
7Linear OA(27107, 114, F27, 94) (dual of [114, 7, 95]-code) [i]
8Linear OA(2779, 85, F27, 71) (dual of [85, 6, 72]-code) [i]
9Linear OA(2795, 101, F27, 85) (dual of [101, 6, 86]-code) [i]
10Linear OA(2799, 105, F27, 88) (dual of [105, 6, 89]-code) [i]
11Linear OA(27107, 113, F27, 95) (dual of [113, 6, 96]-code) [i]
12Linear OA(2779, 84, F27, 72) (dual of [84, 5, 73]-code) [i]
13Linear OA(2795, 100, F27, 86) (dual of [100, 5, 87]-code) [i]
14Linear OA(3131, 152, F3, 61) (dual of [152, 21, 62]-code) [i]Concatenation of Two Codes
15Linear OOA(3207, 114, F3, 2, 123) (dual of [(114, 2), 21, 124]-NRT-code) [i]Concatenation of Two NRT-Codes
16Linear OOA(3204, 111, F3, 2, 123) (dual of [(111, 2), 18, 124]-NRT-code) [i]
17Linear OOA(3201, 108, F3, 2, 123) (dual of [(108, 2), 15, 124]-NRT-code) [i]