Information on Result #622127

Linear OA(88, 17, F8, 6) (dual of [17, 9, 7]-code), using extended algebraic-geometric code AGe(F,10P) 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(864, 32785, F8, 13) (dual of [32785, 32721, 14]-code) [i](u, u+v)-Construction
2Linear OA(886, 2097169, F8, 13) (dual of [2097169, 2097083, 14]-code) [i]
3Linear OA(859, 32785, F8, 12) (dual of [32785, 32726, 13]-code) [i]
4Linear OA(879, 2097169, F8, 12) (dual of [2097169, 2097090, 13]-code) [i]
5Linear OA(873, 82, F8, 53) (dual of [82, 9, 54]-code) [i]Juxtaposition
6Linear OA(872, 80, F8, 53) (dual of [80, 8, 54]-code) [i]
7Linear OA(839, 82, F8, 20) (dual of [82, 43, 21]-code) [i]Construction XX with Cyclic Codes
8Linear OA(841, 82, F8, 21) (dual of [82, 41, 22]-code) [i]
9Linear OA(843, 82, F8, 22) (dual of [82, 39, 23]-code) [i]
10Linear OA(845, 82, F8, 23) (dual of [82, 37, 24]-code) [i]
11Linear OA(850, 87, F8, 26) (dual of [87, 37, 27]-code) [i]
12Linear OA(864, 97, F8, 33) (dual of [97, 33, 34]-code) [i]
13Linear OA(862, 93, F8, 33) (dual of [93, 31, 34]-code) [i]
14Linear OA(860, 89, F8, 33) (dual of [89, 29, 34]-code) [i]
15Linear OA(847, 80, F8, 27) (dual of [80, 33, 28]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
16Linear OA(856, 81, F8, 34) (dual of [81, 25, 35]-code) [i]
17Linear OA(847, 81, F8, 26) (dual of [81, 34, 27]-code) [i]
18Linear OA(843, 81, F8, 22) (dual of [81, 38, 23]-code) [i]
19Linear OA(841, 81, F8, 21) (dual of [81, 40, 22]-code) [i]
20Linear OA(839, 81, F8, 20) (dual of [81, 42, 21]-code) [i]
21Linear OA(837, 81, F8, 19) (dual of [81, 44, 20]-code) [i]
22Linear OA(857, 82, F8, 35) (dual of [82, 25, 36]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
23Linear OA(848, 82, F8, 27) (dual of [82, 34, 28]-code) [i]