Information on Result #1079387
Linear OOA(2132, 4194558, F2, 4, 9) (dual of [(4194558, 4), 16778100, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(216, 257, F2, 4, 4) (dual of [(257, 4), 1012, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(216, 257, F2, 3, 4) (dual of [(257, 3), 755, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 16, 257)-net over F2, using
- appending kth column [i] based on linear OOA(216, 257, F2, 3, 4) (dual of [(257, 3), 755, 5]-NRT-code), using
- linear OOA(2116, 4194301, F2, 4, 9) (dual of [(4194301, 4), 16777088, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2116, 8388602, F2, 2, 9) (dual of [(8388602, 2), 16777088, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2116, large, F2, 2, 9), using
- OOA 2-folding [i] based on linear OOA(2116, 8388602, F2, 2, 9) (dual of [(8388602, 2), 16777088, 10]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2132, 4194558, F2, 4, 8) (dual of [(4194558, 4), 16778100, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2133, 4194558, F2, 4, 9) (dual of [(4194558, 4), 16778099, 10]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2132, 4194557, F2, 5, 9) (dual of [(4194557, 5), 20972653, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 4 | Linear OOA(2132, 4194557, F2, 6, 9) (dual of [(4194557, 6), 25167210, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(2132, 4194557, F2, 7, 9) (dual of [(4194557, 7), 29361767, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(2132, 4194557, F2, 8, 9) (dual of [(4194557, 8), 33556324, 10]-NRT-code) | [i] | ||