Information on Result #644559

Linear OA(946, 63, F9, 33) (dual of [63, 17, 34]-code), using algebraic-geometric code AG(F,29P) 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(9109, 126, F9, 67) (dual of [126, 17, 68]-code) [i]Repeating Each Code Word
2Linear OA(9108, 124, F9, 67) (dual of [124, 16, 68]-code) [i]
3Linear OA(9107, 122, F9, 67) (dual of [122, 15, 68]-code) [i]
4Linear OA(9106, 120, F9, 67) (dual of [120, 14, 68]-code) [i]
5Linear OA(9105, 118, F9, 67) (dual of [118, 13, 68]-code) [i]
6Linear OA(9104, 116, F9, 67) (dual of [116, 12, 68]-code) [i]
7Linear OA(9103, 114, F9, 67) (dual of [114, 11, 68]-code) [i]
8Linear OA(3155, 189, F3, 67) (dual of [189, 34, 68]-code) [i]Concatenation of Two Codes
9Linear OA(3154, 186, F3, 67) (dual of [186, 32, 68]-code) [i]
10Linear OA(3153, 183, F3, 67) (dual of [183, 30, 68]-code) [i]
11Linear OA(3152, 180, F3, 67) (dual of [180, 28, 68]-code) [i]
12Linear OA(3151, 177, F3, 67) (dual of [177, 26, 68]-code) [i]
13Linear OA(3150, 174, F3, 67) (dual of [174, 24, 68]-code) [i]
14Linear OA(3149, 171, F3, 67) (dual of [171, 22, 68]-code) [i]
15Linear OA(3218, 252, F3, 101) (dual of [252, 34, 102]-code) [i]
16Linear OA(949, 66, F9, 35) (dual of [66, 17, 36]-code) [i]Construction X with Algebraic-Geometric Codes
17Linear OA(947, 66, F9, 33) (dual of [66, 19, 34]-code) [i]
18Linear OA(951, 68, F9, 36) (dual of [68, 17, 37]-code) [i]
19Linear OA(948, 68, F9, 33) (dual of [68, 20, 34]-code) [i]