Information on Result #644569

Linear OA(941, 63, F9, 28) (dual of [63, 22, 29]-code), using algebraic-geometric code AG(F,34P) based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(9104, 126, F9, 57) (dual of [126, 22, 58]-code) [i]Repeating Each Code Word
2Linear OA(9103, 124, F9, 57) (dual of [124, 21, 58]-code) [i]
3Linear OA(9102, 122, F9, 57) (dual of [122, 20, 58]-code) [i]
4Linear OA(9101, 120, F9, 57) (dual of [120, 19, 58]-code) [i]
5Linear OA(9100, 118, F9, 57) (dual of [118, 18, 58]-code) [i]
6Linear OA(999, 116, F9, 57) (dual of [116, 17, 58]-code) [i]
7Linear OA(3145, 189, F3, 57) (dual of [189, 44, 58]-code) [i]Concatenation of Two Codes
8Linear OA(3144, 186, F3, 57) (dual of [186, 42, 58]-code) [i]
9Linear OA(3143, 183, F3, 57) (dual of [183, 40, 58]-code) [i]
10Linear OA(3142, 180, F3, 57) (dual of [180, 38, 58]-code) [i]
11Linear OA(3141, 177, F3, 57) (dual of [177, 36, 58]-code) [i]
12Linear OA(3140, 174, F3, 57) (dual of [174, 34, 58]-code) [i]
13Linear OA(3139, 171, F3, 57) (dual of [171, 32, 58]-code) [i]
14Linear OA(3138, 168, F3, 57) (dual of [168, 30, 58]-code) [i]
15Linear OA(3137, 165, F3, 57) (dual of [165, 28, 58]-code) [i]
16Linear OA(3136, 162, F3, 57) (dual of [162, 26, 58]-code) [i]
17Linear OA(3135, 159, F3, 57) (dual of [159, 24, 58]-code) [i]
18Linear OA(3134, 156, F3, 57) (dual of [156, 22, 58]-code) [i]
19Linear OA(3208, 252, F3, 86) (dual of [252, 44, 87]-code) [i]
20Linear OA(3198, 232, F3, 86) (dual of [232, 34, 87]-code) [i]
21Linear OA(944, 66, F9, 30) (dual of [66, 22, 31]-code) [i]Construction X with Algebraic-Geometric Codes
22Linear OA(942, 66, F9, 28) (dual of [66, 24, 29]-code) [i]