Information on Result #644563

Linear OA(944, 63, F9, 31) (dual of [63, 19, 32]-code), using algebraic-geometric code AG(F,31P) 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(9107, 126, F9, 63) (dual of [126, 19, 64]-code) [i]Repeating Each Code Word
2Linear OA(9106, 124, F9, 63) (dual of [124, 18, 64]-code) [i]
3Linear OA(9105, 122, F9, 63) (dual of [122, 17, 64]-code) [i]
4Linear OA(9104, 120, F9, 63) (dual of [120, 16, 64]-code) [i]
5Linear OA(9103, 118, F9, 63) (dual of [118, 15, 64]-code) [i]
6Linear OA(9102, 116, F9, 63) (dual of [116, 14, 64]-code) [i]
7Linear OA(9101, 114, F9, 63) (dual of [114, 13, 64]-code) [i]
8Linear OA(9100, 112, F9, 63) (dual of [112, 12, 64]-code) [i]
9Linear OA(999, 110, F9, 63) (dual of [110, 11, 64]-code) [i]
10Linear OA(3151, 189, F3, 63) (dual of [189, 38, 64]-code) [i]Concatenation of Two Codes
11Linear OA(3150, 186, F3, 63) (dual of [186, 36, 64]-code) [i]
12Linear OA(3149, 183, F3, 63) (dual of [183, 34, 64]-code) [i]
13Linear OA(3148, 180, F3, 63) (dual of [180, 32, 64]-code) [i]
14Linear OA(3147, 177, F3, 63) (dual of [177, 30, 64]-code) [i]
15Linear OA(3146, 174, F3, 63) (dual of [174, 28, 64]-code) [i]
16Linear OA(3145, 171, F3, 63) (dual of [171, 26, 64]-code) [i]
17Linear OA(3144, 168, F3, 63) (dual of [168, 24, 64]-code) [i]
18Linear OA(3143, 165, F3, 63) (dual of [165, 22, 64]-code) [i]
19Linear OA(3214, 252, F3, 95) (dual of [252, 38, 96]-code) [i]
20Linear OA(3212, 248, F3, 95) (dual of [248, 36, 96]-code) [i]
21Linear OA(3210, 244, F3, 95) (dual of [244, 34, 96]-code) [i]
22Linear OA(947, 66, F9, 33) (dual of [66, 19, 34]-code) [i]Construction X with Algebraic-Geometric Codes
23Linear OA(945, 66, F9, 31) (dual of [66, 21, 32]-code) [i]
24Linear OA(949, 68, F9, 34) (dual of [68, 19, 35]-code) [i]