Information on Result #655455

Linear OA(8169, 369, F81, 53) (dual of [369, 300, 54]-code), using algebraic-geometric code AG(F,315P) based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, 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(8172, 372, F81, 55) (dual of [372, 300, 56]-code) [i]✔Construction X with Algebraic-Geometric Codes
2Linear OA(8170, 372, F81, 53) (dual of [372, 302, 54]-code) [i]✔
3Linear OA(8174, 374, F81, 56) (dual of [374, 300, 57]-code) [i]✔
4Linear OA(8171, 374, F81, 53) (dual of [374, 303, 54]-code) [i]✔
5Linear OA(8176, 376, F81, 57) (dual of [376, 300, 58]-code) [i]✔
6Linear OA(8172, 376, F81, 53) (dual of [376, 304, 54]-code) [i]✔
7Linear OA(8178, 378, F81, 58) (dual of [378, 300, 59]-code) [i]✔
8Linear OA(8173, 378, F81, 53) (dual of [378, 305, 54]-code) [i]✔
9Linear OA(8180, 380, F81, 59) (dual of [380, 300, 60]-code) [i]✔
10Linear OA(8174, 380, F81, 53) (dual of [380, 306, 54]-code) [i]✔
11Linear OA(8182, 382, F81, 60) (dual of [382, 300, 61]-code) [i]✔
12Linear OA(8175, 382, F81, 53) (dual of [382, 307, 54]-code) [i]✔
13Linear OA(8176, 384, F81, 53) (dual of [384, 308, 54]-code) [i]✔
14Linear OA(8177, 386, F81, 53) (dual of [386, 309, 54]-code) [i]✔
15Linear OA(8178, 388, F81, 53) (dual of [388, 310, 54]-code) [i]✔
16Linear OA(8179, 390, F81, 53) (dual of [390, 311, 54]-code) [i]✔
17Linear OA(8180, 392, F81, 53) (dual of [392, 312, 54]-code) [i]✔
18Linear OA(8181, 394, F81, 53) (dual of [394, 313, 54]-code) [i]✔
19Linear OA(8182, 396, F81, 53) (dual of [396, 314, 54]-code) [i]✔