Information on Result #622383

Linear OA(169, 38, F16, 6) (dual of [38, 29, 7]-code), using extended algebraic-geometric code AGe(F,31P) based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(1635, 552, F16, 13) (dual of [552, 517, 14]-code) [i](u, u+v)-Construction
2Linear OA(1646, 4135, F16, 13) (dual of [4135, 4089, 14]-code) [i]
3Linear OA(1659, 131112, F16, 13) (dual of [131112, 131053, 14]-code) [i]
4Linear OA(1670, 1048615, F16, 13) (dual of [1048615, 1048545, 14]-code) [i]
5Linear OA(1643, 4134, F16, 12) (dual of [4134, 4091, 13]-code) [i]
6Linear OA(1655, 131110, F16, 12) (dual of [131110, 131055, 13]-code) [i]
7Linear OA(1665, 1048614, F16, 12) (dual of [1048614, 1048549, 13]-code) [i]
8Linear OA(1646, 4137, F16, 13) (dual of [4137, 4091, 14]-code) [i]
9Linear OA(1659, 131114, F16, 13) (dual of [131114, 131055, 14]-code) [i]
10Linear OA(1670, 1048619, F16, 13) (dual of [1048619, 1048549, 14]-code) [i]
11Linear OA(1643, 4137, F16, 12) (dual of [4137, 4094, 13]-code) [i]
12Linear OA(1655, 131114, F16, 12) (dual of [131114, 131059, 13]-code) [i]
13Linear OA(1665, 1048619, F16, 12) (dual of [1048619, 1048554, 13]-code) [i]
14Linear OA(16110, 1048614, F16, 22) (dual of [1048614, 1048504, 23]-code) [i]Construction X with Extended Narrow-Sense BCH Codes
15Linear OA(16105, 1048614, F16, 21) (dual of [1048614, 1048509, 22]-code) [i]
16Linear OA(16100, 1048614, F16, 20) (dual of [1048614, 1048514, 21]-code) [i]
17Linear OA(1695, 1048614, F16, 19) (dual of [1048614, 1048519, 20]-code) [i]
18Linear OA(1690, 1048614, F16, 18) (dual of [1048614, 1048524, 19]-code) [i]
19Linear OA(1685, 1048614, F16, 17) (dual of [1048614, 1048529, 18]-code) [i]
20Linear OOA(169, 19, F16, 2, 6) (dual of [(19, 2), 29, 7]-NRT-code) [i]OOA Folding