Information on Result #906698
Linear OOA(1622, 1044496, F16, 2, 5) (dual of [(1044496, 2), 2088970, 6]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(160, s, F16, 2, 0) for arbitrarily large s, using
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(160, 65281, F16, 2, 0) (dual of [(65281, 2), 130562, 1]-NRT-code) (see above)
- linear OOA(161, 65281, F16, 2, 1) (dual of [(65281, 2), 130561, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(161, s, F16, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(161, s, F16, 2, 1) for arbitrarily large s, using
- linear OOA(161, 65281, F16, 2, 1) (dual of [(65281, 2), 130561, 2]-NRT-code) (see above)
- linear OOA(161, 65281, F16, 2, 1) (dual of [(65281, 2), 130561, 2]-NRT-code) (see above)
- linear OOA(165, 65281, F16, 2, 2) (dual of [(65281, 2), 130557, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(165, 69905, F16, 2, 2) (dual of [(69905, 2), 139805, 3]-NRT-code), using
- appending kth column [i] based on linear OA(165, 69905, F16, 2) (dual of [69905, 69900, 3]-code), using
- Hamming code H(5,16) [i]
- appending kth column [i] based on linear OA(165, 69905, F16, 2) (dual of [69905, 69900, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(165, 69905, F16, 2, 2) (dual of [(69905, 2), 139805, 3]-NRT-code), using
- linear OOA(1614, 65281, F16, 2, 5) (dual of [(65281, 2), 130548, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1614, 130562, F16, 5) (dual of [130562, 130548, 6]-code), using
- trace code [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- OOA 2-folding [i] based on linear OA(1614, 130562, F16, 5) (dual of [130562, 130548, 6]-code), using
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(1622, 1044495, F16, 6, 5) (dual of [(1044495, 6), 6266948, 6]-NRT-code) | [i] | OOA Stacking with Additional Row | |