Information on Result #622131

Linear OA(812, 17, F8, 10) (dual of [17, 5, 11]-code), using extended algebraic-geometric code AGe(F,6P) based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, 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(897, 102, F8, 65) (dual of [102, 5, 66]-code) [i]Repeating Each Code Word
2Linear OA(8114, 119, F8, 76) (dual of [119, 5, 77]-code) [i]
3Linear OA(867, 530, F8, 21) (dual of [530, 463, 22]-code) [i](u, u+v)-Construction
4Linear OA(8103, 32786, F8, 21) (dual of [32786, 32683, 22]-code) [i]
5Linear OA(8121, 262162, F8, 21) (dual of [262162, 262041, 22]-code) [i]
6Linear OA(8139, 2097170, F8, 21) (dual of [2097170, 2097031, 22]-code) [i]
7Linear OA(898, 32785, F8, 20) (dual of [32785, 32687, 21]-code) [i]
8Linear OA(8115, 262161, F8, 20) (dual of [262161, 262046, 21]-code) [i]
9Linear OA(8132, 2097169, F8, 20) (dual of [2097169, 2097037, 21]-code) [i]
10Linear OA(894, 99, F8, 74) (dual of [99, 5, 75]-code) [i]Juxtaposition
11Linear OA(877, 81, F8, 66) (dual of [81, 4, 67]-code) [i]
12Linear OA(8142, 146, F8, 122) (dual of [146, 4, 123]-code) [i]
13Linear OA(887, 91, F8, 74) (dual of [91, 4, 75]-code) [i]
14Linear OOA(287, 51, F2, 2, 43) (dual of [(51, 2), 15, 44]-NRT-code) [i]Concatenation of Two NRT-Codes
15Linear OOA(2138, 51, F2, 3, 76) (dual of [(51, 3), 15, 77]-NRT-code) [i]