Information on Result #644565

Linear OA(943, 63, F9, 30) (dual of [63, 20, 31]-code), using algebraic-geometric code AG(F,32P) 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(9106, 126, F9, 61) (dual of [126, 20, 62]-code) [i]Repeating Each Code Word
2Linear OA(9105, 124, F9, 61) (dual of [124, 19, 62]-code) [i]
3Linear OA(9104, 122, F9, 61) (dual of [122, 18, 62]-code) [i]
4Linear OA(9103, 120, F9, 61) (dual of [120, 17, 62]-code) [i]
5Linear OA(9102, 118, F9, 61) (dual of [118, 16, 62]-code) [i]
6Linear OA(9101, 116, F9, 61) (dual of [116, 15, 62]-code) [i]
7Linear OA(9100, 114, F9, 61) (dual of [114, 14, 62]-code) [i]
8Linear OA(999, 112, F9, 61) (dual of [112, 13, 62]-code) [i]
9Linear OA(998, 110, F9, 61) (dual of [110, 12, 62]-code) [i]
10Linear OA(997, 108, F9, 61) (dual of [108, 11, 62]-code) [i]
11Linear OA(3149, 189, F3, 61) (dual of [189, 40, 62]-code) [i]Concatenation of Two Codes
12Linear OA(3148, 186, F3, 61) (dual of [186, 38, 62]-code) [i]
13Linear OA(3147, 183, F3, 61) (dual of [183, 36, 62]-code) [i]
14Linear OA(3146, 180, F3, 61) (dual of [180, 34, 62]-code) [i]
15Linear OA(3145, 177, F3, 61) (dual of [177, 32, 62]-code) [i]
16Linear OA(3144, 174, F3, 61) (dual of [174, 30, 62]-code) [i]
17Linear OA(3143, 171, F3, 61) (dual of [171, 28, 62]-code) [i]
18Linear OA(3142, 168, F3, 61) (dual of [168, 26, 62]-code) [i]
19Linear OA(3141, 165, F3, 61) (dual of [165, 24, 62]-code) [i]
20Linear OA(3140, 162, F3, 61) (dual of [162, 22, 62]-code) [i]
21Linear OA(3212, 252, F3, 92) (dual of [252, 40, 93]-code) [i]
22Linear OA(3210, 248, F3, 92) (dual of [248, 38, 93]-code) [i]
23Linear OA(3208, 244, F3, 92) (dual of [244, 36, 93]-code) [i]
24Linear OA(3206, 240, F3, 92) (dual of [240, 34, 93]-code) [i]
25Linear OA(946, 66, F9, 32) (dual of [66, 20, 33]-code) [i]Construction X with Algebraic-Geometric Codes
26Linear OA(944, 66, F9, 30) (dual of [66, 22, 31]-code) [i]
27Linear OA(948, 68, F9, 33) (dual of [68, 20, 34]-code) [i]
28Linear OA(974, 94, F9, 44) (dual of [94, 20, 45]-code) [i]Construction XX with a Chain of Algebraic-Geometric Codes