Information on Result #1084867
Linear OOA(12820, 16512, F128, 4, 8) (dual of [(16512, 4), 66028, 9]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1280, s, F128, 4, 0) for arbitrarily large s, using
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 4, 0) (dual of [(129, 4), 516, 1]-NRT-code) (see above)
- linear OOA(1281, 129, F128, 4, 1) (dual of [(129, 4), 515, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1281, s, F128, 4, 1) for arbitrarily large s, using
- appending 3 arbitrary columns [i] based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(1281, s, F128, 4, 1) for arbitrarily large s, using
- linear OOA(1281, 129, F128, 4, 1) (dual of [(129, 4), 515, 2]-NRT-code) (see above)
- linear OOA(1281, 129, F128, 4, 1) (dual of [(129, 4), 515, 2]-NRT-code) (see above)
- linear OOA(1281, 129, F128, 4, 1) (dual of [(129, 4), 515, 2]-NRT-code) (see above)
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;514,128) [i]
- linear OOA(1282, 129, F128, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code) (see above)
- linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;512,128) [i]
- linear OOA(1288, 129, F128, 4, 8) (dual of [(129, 4), 508, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;508,128) [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 | OOA(12873, 2113662, S128, 4, 16) | [i] | (u, u+v)-Construction for OOAs | |
2 | OOA(12876, 2113662, S128, 4, 17) | [i] | ||
3 | Linear OOA(12820, 16511, F128, 12, 8) (dual of [(16511, 12), 198112, 9]-NRT-code) | [i] | OOA Stacking with Additional Row |