Information on Result #669361
Linear OA(6412, 128, F64, 8) (dual of [128, 116, 9]-code), using generalized (u, u+v)-construction based on
- linear OA(640, 2, F64, 0) (dual of [2, 2, 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, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- linear OA(641, 2, F64, 1) (dual of [2, 1, 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, 2, F64, 1) (dual of [2, 1, 2]-code) (see above)
- linear OA(641, 2, F64, 1) (dual of [2, 1, 2]-code) (see above)
- linear OA(641, 2, F64, 1) (dual of [2, 1, 2]-code) (see above)
- linear OA(642, 2, F64, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,64)), using
- linear OA(642, 2, F64, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,64)) (see above)
- linear OA(642, 2, F64, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,64)) (see above)
- linear OA(642, 2, F64, 2) (dual of [2, 0, 3]-code or 2-arc in PG(1,64)) (see above)
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(6445, 4225, F64, 17) (dual of [4225, 4180, 18]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(6461, 262273, F64, 17) (dual of [262273, 262212, 18]-code) | [i] | ||
3 | Linear OA(6443, 4224, F64, 16) (dual of [4224, 4181, 17]-code) | [i] | ||
4 | Linear OA(6458, 262272, F64, 16) (dual of [262272, 262214, 17]-code) | [i] |