Information on Result #605168

Linear OA(88, 9, F8, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,8)), using dual of repetition code with length 9

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

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(8172, 32795, F8, 34) (dual of [32795, 32623, 35]-code) [i]Generalized (u, u+v)-Construction
2Linear OA(8128, 32786, F8, 26) (dual of [32786, 32658, 27]-code) [i](u, u−v, u+v+w)-Construction
3Linear OA(8150, 262162, F8, 26) (dual of [262162, 262012, 27]-code) [i]
4Linear OA(8172, 2097170, F8, 26) (dual of [2097170, 2096998, 27]-code) [i]
5Linear OA(8123, 32786, F8, 25) (dual of [32786, 32663, 26]-code) [i]
6Linear OA(8144, 262162, F8, 25) (dual of [262162, 262018, 26]-code) [i]
7Linear OA(8165, 2097170, F8, 25) (dual of [2097170, 2097005, 26]-code) [i]
8Linear OA(884, 32787, F8, 17) (dual of [32787, 32703, 18]-code) [i]
9Linear OA(8112, 2097171, F8, 17) (dual of [2097171, 2097059, 18]-code) [i]
10Linear OA(831, 36, F8, 17) (dual of [36, 5, 18]-code) [i]Construction X with Cyclic Codes
11Linear OA(851, 522, F8, 17) (dual of [522, 471, 18]-code) [i]
12Linear OA(865, 4106, F8, 17) (dual of [4106, 4041, 18]-code) [i]
13Linear OA(879, 32778, F8, 17) (dual of [32778, 32699, 18]-code) [i]
14Linear OA(893, 262154, F8, 17) (dual of [262154, 262061, 18]-code) [i]
15Linear OA(8107, 2097162, F8, 17) (dual of [2097162, 2097055, 18]-code) [i]
16Linear OA(837, 74, F8, 19) (dual of [74, 37, 20]-code) [i]
17Linear OA(857, 522, F8, 19) (dual of [522, 465, 20]-code) [i]
18Linear OA(873, 4106, F8, 19) (dual of [4106, 4033, 20]-code) [i]
19Linear OA(889, 32778, F8, 19) (dual of [32778, 32689, 20]-code) [i]
20Linear OA(8105, 262154, F8, 19) (dual of [262154, 262049, 20]-code) [i]
21Linear OA(8121, 2097162, F8, 19) (dual of [2097162, 2097041, 20]-code) [i]
22Linear OA(841, 74, F8, 21) (dual of [74, 33, 22]-code) [i]
23Linear OA(883, 90, F8, 35) (dual of [90, 7, 36]-code) [i]
24Linear OA(861, 74, F8, 39) (dual of [74, 13, 40]-code) [i]
25Linear OA(850, 2097160, F8, 8) (dual of [2097160, 2097110, 9]-code) [i]Construction X4 with Cyclic Codes
26Linear OA(837, 2097161, F8, 6) (dual of [2097161, 2097124, 7]-code) [i]Construction X4 with Extended Narrow-Sense BCH Codes
27Linear OA(823, 2097161, F8, 4) (dual of [2097161, 2097138, 5]-code) [i]
28Linear OA(8132, 140, F8, 102) (dual of [140, 8, 103]-code) [i]Construction X with VarÅ¡amov Bound