Information on Result #622235

Linear OA(913, 20, F9, 11) (dual of [20, 7, 12]-code), using extended algebraic-geometric code AGe(F,8P) based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, 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(974, 750, F9, 23) (dual of [750, 676, 24]-code) [i](u, u+v)-Construction
2Linear OA(9114, 59070, F9, 23) (dual of [59070, 58956, 24]-code) [i]
3Linear OA(971, 749, F9, 22) (dual of [749, 678, 23]-code) [i]
4Linear OA(9109, 59069, F9, 22) (dual of [59069, 58960, 23]-code) [i]
5Linear OA(9147, 4782989, F9, 22) (dual of [4782989, 4782842, 23]-code) [i]
6Linear OA(941, 48, F9, 30) (dual of [48, 7, 31]-code) [i]Juxtaposition
7Linear OA(9104, 111, F9, 82) (dual of [111, 7, 83]-code) [i]
8Linear OA(9121, 128, F9, 92) (dual of [128, 7, 93]-code) [i]
9Linear OA(941, 47, F9, 31) (dual of [47, 6, 32]-code) [i]
10Linear OA(9114, 120, F9, 91) (dual of [120, 6, 92]-code) [i]
11Linear OA(9116, 122, F9, 92) (dual of [122, 6, 93]-code) [i]
12Linear OA(9114, 119, F9, 92) (dual of [119, 5, 93]-code) [i]
13Linear OA(9141, 147, F9, 115) (dual of [147, 6, 116]-code) [i]
14Linear OA(346, 60, F3, 23) (dual of [60, 14, 24]-code) [i]Concatenation of Two Codes
15Linear OA(345, 57, F3, 23) (dual of [57, 12, 24]-code) [i]
16Linear OA(9101, 111, F9, 72) (dual of [111, 10, 73]-code) [i]Construction X with Cyclic Codes
17Linear OA(994, 102, F9, 73) (dual of [102, 8, 74]-code) [i]
18Linear OA(986, 102, F9, 57) (dual of [102, 16, 58]-code) [i]
19Linear OA(974, 102, F9, 43) (dual of [102, 28, 44]-code) [i]
20Linear OA(970, 102, F9, 41) (dual of [102, 32, 42]-code) [i]
21Linear OA(9100, 110, F9, 72) (dual of [110, 10, 73]-code) [i]Construction XX with Cyclic Codes
22Linear OA(9102, 112, F9, 73) (dual of [112, 10, 74]-code) [i]Construction XX with a Chain of Cyclic Codes
23Linear OA(993, 101, F9, 73) (dual of [101, 8, 74]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
24Linear OA(990, 101, F9, 65) (dual of [101, 11, 66]-code) [i]