Information on Result #1079376
Linear OOA(2121, 4194306, F2, 4, 9) (dual of [(4194306, 4), 16777103, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25, 5, F2, 4, 4) (dual of [(5, 4), 15, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(25, 5, F2, 3, 4) (dual of [(5, 3), 10, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,10P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- appending kth column [i] based on linear OOA(25, 5, F2, 3, 4) (dual of [(5, 3), 10, 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(2121, 4194305, F2, 5, 9) (dual of [(4194305, 5), 20971404, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2121, 4194305, F2, 6, 9) (dual of [(4194305, 6), 25165709, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(2121, 4194305, F2, 7, 9) (dual of [(4194305, 7), 29360014, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(2121, 4194305, F2, 8, 9) (dual of [(4194305, 8), 33554319, 10]-NRT-code) | [i] | ||