Information on Result #606357

Linear OA(97, 9, F9, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,9)), using Reed–Solomon code RS(2,9)

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

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(9147, 153, F9, 119) (dual of [153, 6, 120]-code) [i]Concatenation of Two Codes
2Linear OOA(350, 27, F3, 2, 39) (dual of [(27, 2), 4, 40]-NRT-code) [i]Concatenation of Two NRT-Codes
3Linear OOA(368, 36, F3, 2, 55) (dual of [(36, 2), 4, 56]-NRT-code) [i]
4Linear OOA(3104, 36, F3, 3, 87) (dual of [(36, 3), 4, 88]-NRT-code) [i]
5Linear OA(9117, 59068, F9, 23) (dual of [59068, 58951, 24]-code) [i](u, u−v, u+v+w)-Construction
6Linear OA(9112, 59067, F9, 22) (dual of [59067, 58955, 23]-code) [i]
7Linear OA(9150, 4782987, F9, 22) (dual of [4782987, 4782837, 23]-code) [i]
8Linear OA(9107, 59068, F9, 21) (dual of [59068, 58961, 22]-code) [i]
9Linear OA(9143, 4782988, F9, 21) (dual of [4782988, 4782845, 22]-code) [i]
10Linear OA(999, 117, F9, 63) (dual of [117, 18, 64]-code) [i]Construction XX with Cyclic Codes
11Linear OA(9102, 119, F9, 66) (dual of [119, 17, 67]-code) [i]
12Linear OA(9100, 117, F9, 65) (dual of [117, 17, 66]-code) [i]
13Linear OA(993, 104, F9, 69) (dual of [104, 11, 70]-code) [i]
14Linear OA(988, 99, F9, 65) (dual of [99, 11, 66]-code) [i]
15Linear OA(989, 99, F9, 66) (dual of [99, 10, 67]-code) [i]
16Linear OA(992, 102, F9, 69) (dual of [102, 10, 70]-code) [i]
17Linear OA(989, 99, F9, 67) (dual of [99, 10, 68]-code) [i]
18Linear OA(997, 107, F9, 71) (dual of [107, 10, 72]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
19Linear OA(990, 100, F9, 66) (dual of [100, 10, 67]-code) [i]
20Linear OA(9117, 124, F9, 92) (dual of [124, 7, 93]-code) [i]Construction X with VarÅ¡amov Bound
21Linear OA(9125, 133, F9, 97) (dual of [133, 8, 98]-code) [i]
22Linear OA(9126, 136, F9, 96) (dual of [136, 10, 97]-code) [i]
23Linear OA(9127, 137, F9, 97) (dual of [137, 10, 98]-code) [i]
24Linear OA(9132, 141, F9, 102) (dual of [141, 9, 103]-code) [i]