Information on Result #1087032
Linear OOA(284, 22, F2, 4, 68) (dual of [(22, 4), 4, 69]-NRT-code), using juxtaposition based on
- linear OOA(212, 4, F2, 4, 11) (dual of [(4, 4), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,8P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- discarding factors / shortening the dual code based on linear OOA(212, 5, F2, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), using
- linear OOA(268, 18, F2, 4, 56) (dual of [(18, 4), 4, 57]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(220, 6, F2, 4, 18) (dual of [(6, 4), 4, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,5P) [i] based on function field F/F2 with g(F) = 2 and N(F) ≥ 6, using
- repeating each code word 3 times [i] based on linear OOA(220, 6, F2, 4, 18) (dual of [(6, 4), 4, 19]-NRT-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(284, 22, F2, 4, 67) (dual of [(22, 4), 4, 68]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(284, 22, F2, 4, 66) (dual of [(22, 4), 4, 67]-NRT-code) | [i] | ||
| 3 | Linear OOA(284, 22, F2, 4, 65) (dual of [(22, 4), 4, 66]-NRT-code) | [i] | ||
| 4 | Linear OOA(284, 22, F2, 4, 64) (dual of [(22, 4), 4, 65]-NRT-code) | [i] | ||
| 5 | Linear OOA(284, 22, F2, 4, 63) (dual of [(22, 4), 4, 64]-NRT-code) | [i] | ||
| 6 | Linear OOA(284, 22, F2, 4, 62) (dual of [(22, 4), 4, 63]-NRT-code) | [i] | ||
| 7 | Linear OOA(2100, 26, F2, 4, 80) (dual of [(26, 4), 4, 81]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 8 | Linear OOA(284, 11, F2, 8, 68) (dual of [(11, 8), 4, 69]-NRT-code) | [i] | OOA Folding | |