Information on Result #656067
Linear OA(12810, 152, F128, 8) (dual of [152, 142, 9]-code), using construction X applied to AG(F,140P) ⊂ AG(F,142P) based on
- linear OA(1289, 149, F128, 8) (dual of [149, 140, 9]-code), using algebraic-geometric code AG(F,140P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1287, 149, F128, 6) (dual of [149, 142, 7]-code), using algebraic-geometric code AG(F,142P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(3214, 152, S32, 8) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6412, 152, S64, 8) | [i] | ||
| 3 | Linear OA(12843, 16537, F128, 17) (dual of [16537, 16494, 18]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(12859, 2097305, F128, 17) (dual of [2097305, 2097246, 18]-code) | [i] | ||
| 5 | Linear OA(12841, 16536, F128, 16) (dual of [16536, 16495, 17]-code) | [i] | ||
| 6 | Linear OA(12856, 2097304, F128, 16) (dual of [2097304, 2097248, 17]-code) | [i] | ||
| 7 | Linear OA(12843, 16538, F128, 17) (dual of [16538, 16495, 18]-code) | [i] | ||
| 8 | Linear OA(12859, 2097307, F128, 17) (dual of [2097307, 2097248, 18]-code) | [i] | ||
| 9 | Linear OA(12841, 16538, F128, 16) (dual of [16538, 16497, 17]-code) | [i] | ||
| 10 | Linear OA(12856, 2097307, F128, 16) (dual of [2097307, 2097251, 17]-code) | [i] | ||