Information on Result #622412

Linear OA(1615, 45, F16, 11) (dual of [45, 30, 12]-code), using extended algebraic-geometric code AGe(F,33P) based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, 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(430, 90, F4, 11) (dual of [90, 60, 12]-code) [i]Trace Code
2Linear OA(1661, 559, F16, 23) (dual of [559, 498, 24]-code) [i](u, u+v)-Construction
3Linear OA(1679, 4141, F16, 23) (dual of [4141, 4062, 24]-code) [i]
4Linear OA(16105, 131119, F16, 23) (dual of [131119, 131014, 24]-code) [i]
5Linear OA(16121, 1048621, F16, 23) (dual of [1048621, 1048500, 24]-code) [i]
6Linear OA(1659, 559, F16, 22) (dual of [559, 500, 23]-code) [i]
7Linear OA(1676, 4141, F16, 22) (dual of [4141, 4065, 23]-code) [i]
8Linear OA(16116, 1048621, F16, 22) (dual of [1048621, 1048505, 23]-code) [i]
9Linear OA(1679, 4144, F16, 23) (dual of [4144, 4065, 24]-code) [i]
10Linear OA(1676, 4144, F16, 22) (dual of [4144, 4068, 23]-code) [i]
11Linear OA(1680, 105, F16, 46) (dual of [105, 25, 47]-code) [i]Juxtaposition
12Linear OA(16130, 4142, F16, 41) (dual of [4142, 4012, 42]-code) [i]Construction X with Cyclic Codes
13Linear OA(16124, 4142, F16, 39) (dual of [4142, 4018, 40]-code) [i]
14Linear OA(16118, 4142, F16, 37) (dual of [4142, 4024, 38]-code) [i]
15Linear OA(16112, 4142, F16, 35) (dual of [4142, 4030, 36]-code) [i]
16Linear OA(16106, 4142, F16, 33) (dual of [4142, 4036, 34]-code) [i]
17Linear OOA(1615, 22, F16, 2, 11) (dual of [(22, 2), 29, 12]-NRT-code) [i]OOA Folding