Information on Result #1022045
Linear OOA(4917, 2451, F49, 3, 7) (dual of [(2451, 3), 7336, 8]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(490, s, F49, 3, 0) for arbitrarily large s, using
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(490, 50, F49, 3, 0) (dual of [(50, 3), 150, 1]-NRT-code) (see above)
- linear OOA(491, 50, F49, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(491, s, F49, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [i] based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(491, s, F49, 3, 1) for arbitrarily large s, using
- linear OOA(491, 50, F49, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
- linear OOA(491, 50, F49, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
- linear OOA(491, 50, F49, 3, 1) (dual of [(50, 3), 149, 2]-NRT-code) (see above)
- linear OOA(492, 50, F49, 3, 2) (dual of [(50, 3), 148, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;148,49) [i]
- linear OOA(493, 50, F49, 3, 3) (dual of [(50, 3), 147, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;147,49) [i]
- linear OOA(498, 51, F49, 3, 7) (dual of [(51, 3), 145, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 8, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
- extracting embedded OOA [i] based on digital (1, 8, 51)-net over F49, 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(4917, 2450, F49, 9, 7) (dual of [(2450, 9), 22033, 8]-NRT-code) | [i] | OOA Stacking with Additional Row | |