Information on Result #669982
Linear OA(6417, 145, F64, 11) (dual of [145, 128, 12]-code), using (u, u+v)-construction based on
- linear OA(645, 65, F64, 5) (dual of [65, 60, 6]-code or 65-arc in PG(4,64)), using
- extended Reed–Solomon code RSe(60,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(6412, 80, F64, 11) (dual of [80, 68, 12]-code), using
- extended algebraic-geometric code AGe(F,68P) [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, 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 | Linear OA(6462, 4242, F64, 23) (dual of [4242, 4180, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(6484, 262290, F64, 23) (dual of [262290, 262206, 24]-code) | [i] | ||
| 3 | Linear OA(6460, 4241, F64, 22) (dual of [4241, 4181, 23]-code) | [i] | ||
| 4 | Linear OA(6481, 262289, F64, 22) (dual of [262289, 262208, 23]-code) | [i] | ||
| 5 | Linear OA(6462, 4243, F64, 23) (dual of [4243, 4181, 24]-code) | [i] | ||
| 6 | Linear OA(6484, 262292, F64, 23) (dual of [262292, 262208, 24]-code) | [i] | ||
| 7 | Linear OA(6460, 4243, F64, 22) (dual of [4243, 4183, 23]-code) | [i] | ||
| 8 | Linear OA(6481, 262292, F64, 22) (dual of [262292, 262211, 23]-code) | [i] | ||
| 9 | Linear OOA(6417, 72, F64, 2, 11) (dual of [(72, 2), 127, 12]-NRT-code) | [i] | OOA Folding | |