Information on Result #669371
Linear OA(6410, 4160, F64, 5) (dual of [4160, 4150, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(640, 65, F64, 0) (dual of [65, 65, 1]-code) (see above)
- linear OA(641, 65, F64, 1) (dual of [65, 64, 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
- linear OA(641, 65, F64, 1) (dual of [65, 64, 2]-code) (see above)
- linear OA(641, 65, F64, 1) (dual of [65, 64, 2]-code) (see above)
- linear OA(642, 65, F64, 2) (dual of [65, 63, 3]-code or 65-arc in PG(1,64)), using
- extended Reed–Solomon code RSe(63,64) [i]
- Hamming code H(2,64) [i]
- 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]
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(6416, 266240, F64, 5) (dual of [266240, 266224, 6]-code) | [i] | Generalized (u, u+v)-Construction | |