Information on Result #653485
Linear OA(6424, 179, F64, 16) (dual of [179, 155, 17]-code), using construction X applied to AG(F,159P) ⊂ AG(F,161P) based on
- linear OA(6423, 176, F64, 16) (dual of [176, 153, 17]-code), using algebraic-geometric code AG(F,159P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- linear OA(6421, 176, F64, 14) (dual of [176, 155, 15]-code), using algebraic-geometric code AG(F,161P) [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177 (see above)
- linear OA(641, 3, F64, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 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(3229, 179, S32, 16) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(6489, 4276, F64, 33) (dual of [4276, 4187, 34]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(6487, 4275, F64, 32) (dual of [4275, 4188, 33]-code) | [i] | ||
| 4 | Linear OA(6489, 4277, F64, 33) (dual of [4277, 4188, 34]-code) | [i] | ||
| 5 | Linear OA(6490, 4281, F64, 33) (dual of [4281, 4191, 34]-code) | [i] | ||
| 6 | Linear OA(6487, 4277, F64, 32) (dual of [4277, 4190, 33]-code) | [i] | ||
| 7 | Linear OA(6488, 4280, F64, 32) (dual of [4280, 4192, 33]-code) | [i] | ||
| 8 | Linear OOA(6424, 89, F64, 2, 16) (dual of [(89, 2), 154, 17]-NRT-code) | [i] | OOA Folding | |