Information on Result #907109
Linear OOA(12816, 16512, F128, 2, 7) (dual of [(16512, 2), 33008, 8]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1280, s, F128, 2, 0) for arbitrarily large s, using
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1280, 129, F128, 2, 0) (dual of [(129, 2), 258, 1]-NRT-code) (see above)
- linear OOA(1281, 129, F128, 2, 1) (dual of [(129, 2), 257, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1281, s, F128, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [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, 2, 1) for arbitrarily large s, using
- linear OOA(1281, 129, F128, 2, 1) (dual of [(129, 2), 257, 2]-NRT-code) (see above)
- linear OOA(1281, 129, F128, 2, 1) (dual of [(129, 2), 257, 2]-NRT-code) (see above)
- linear OOA(1281, 129, F128, 2, 1) (dual of [(129, 2), 257, 2]-NRT-code) (see above)
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;256,128) [i]
- linear OOA(1283, 129, F128, 2, 3) (dual of [(129, 2), 255, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;255,128) [i]
- linear OOA(1287, 129, F128, 2, 7) (dual of [(129, 2), 251, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;251,128) [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 | Linear OOA(12873, 4210813, F128, 2, 15) (dual of [(4210813, 2), 8421553, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(12869, 4210813, F128, 2, 14) (dual of [(4210813, 2), 8421557, 15]-NRT-code) | [i] | ||
3 | Linear OOA(12816, 8256, F128, 3, 7) (dual of [(8256, 3), 24752, 8]-NRT-code) | [i] | OOA Folding |