Information on Result #672040
Linear OA(8116, 544402, F81, 5) (dual of [544402, 544386, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(810, 6643, F81, 0) (dual of [6643, 6643, 1]-code) (see above)
- linear OA(811, 6643, F81, 1) (dual of [6643, 6642, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(811, 6643, F81, 1) (dual of [6643, 6642, 2]-code) (see above)
- linear OA(811, 6643, F81, 1) (dual of [6643, 6642, 2]-code) (see above)
- linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- Hamming code H(3,81) [i]
- linear OA(8110, 12962, F81, 5) (dual of [12962, 12952, 6]-code), using
- (u, u+v)-construction [i] based on
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 OOA(8116, 272201, F81, 2, 5) (dual of [(272201, 2), 544386, 6]-NRT-code) | [i] | OOA Folding |