Information on Result #622259

Linear OA(916, 30, F9, 12) (dual of [30, 14, 13]-code), using extended algebraic-geometric code AGe(F,17P) based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, 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(983, 760, F9, 25) (dual of [760, 677, 26]-code) [i](u, u+v)-Construction
2Linear OA(9127, 59080, F9, 25) (dual of [59080, 58953, 26]-code) [i]
3Linear OA(980, 759, F9, 24) (dual of [759, 679, 25]-code) [i]
4Linear OA(9122, 59079, F9, 24) (dual of [59079, 58957, 25]-code) [i]
5Linear OA(996, 110, F9, 64) (dual of [110, 14, 65]-code) [i]Juxtaposition
6Linear OA(362, 90, F3, 25) (dual of [90, 28, 26]-code) [i]Concatenation of Two Codes
7Linear OA(986, 110, F9, 53) (dual of [110, 24, 54]-code) [i]Construction X with Cyclic Codes
8Linear OA(985, 110, F9, 52) (dual of [110, 25, 53]-code) [i]
9Linear OA(989, 112, F9, 54) (dual of [112, 23, 55]-code) [i]
10Linear OA(973, 112, F9, 38) (dual of [112, 39, 39]-code) [i]
11Linear OA(986, 111, F9, 53) (dual of [111, 25, 54]-code) [i]Construction XX with Cyclic Codes
12Linear OA(991, 120, F9, 52) (dual of [120, 29, 53]-code) [i]
13Linear OA(989, 114, F9, 54) (dual of [114, 25, 55]-code) [i]
14Linear OA(992, 115, F9, 56) (dual of [115, 23, 57]-code) [i]Construction XX with a Chain of Cyclic Codes
15Linear OA(976, 115, F9, 40) (dual of [115, 39, 41]-code) [i]
16Linear OA(988, 111, F9, 54) (dual of [111, 23, 55]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
17Linear OA(981, 111, F9, 46) (dual of [111, 30, 47]-code) [i]
18Linear OA(972, 111, F9, 38) (dual of [111, 39, 39]-code) [i]
19Linear OA(989, 112, F9, 55) (dual of [112, 23, 56]-code) [i]Construction XX with a Chain of Extended Narrow-Sense BCH Codes
20Linear OA(982, 112, F9, 47) (dual of [112, 30, 48]-code) [i]
21Linear OA(973, 112, F9, 39) (dual of [112, 39, 40]-code) [i]
22Linear OOA(916, 15, F9, 2, 12) (dual of [(15, 2), 14, 13]-NRT-code) [i]OOA Folding