Information on Result #1146221
Linear OOA(2128, 22, F2, 6, 112) (dual of [(22, 6), 4, 113]-NRT-code), using juxtaposition based on
- linear OOA(220, 4, F2, 6, 19) (dual of [(4, 6), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(220, 5, F2, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;F,10P) [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(220, 5, F2, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
- linear OOA(2104, 18, F2, 6, 92) (dual of [(18, 6), 4, 93]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(232, 6, F2, 6, 30) (dual of [(6, 6), 4, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(6;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(232, 6, F2, 6, 30) (dual of [(6, 6), 4, 31]-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(2128, 22, F2, 6, 111) (dual of [(22, 6), 4, 112]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2128, 22, F2, 6, 110) (dual of [(22, 6), 4, 111]-NRT-code) | [i] | ||
| 3 | Linear OOA(2128, 22, F2, 6, 109) (dual of [(22, 6), 4, 110]-NRT-code) | [i] | ||
| 4 | Linear OOA(2128, 22, F2, 6, 108) (dual of [(22, 6), 4, 109]-NRT-code) | [i] | ||
| 5 | Linear OOA(2128, 22, F2, 6, 107) (dual of [(22, 6), 4, 108]-NRT-code) | [i] | ||
| 6 | Linear OOA(2128, 22, F2, 6, 106) (dual of [(22, 6), 4, 107]-NRT-code) | [i] | ||
| 7 | Linear OOA(2128, 22, F2, 6, 105) (dual of [(22, 6), 4, 106]-NRT-code) | [i] | ||
| 8 | Linear OOA(2128, 22, F2, 6, 104) (dual of [(22, 6), 4, 105]-NRT-code) | [i] | ||
| 9 | Linear OOA(2128, 22, F2, 6, 103) (dual of [(22, 6), 4, 104]-NRT-code) | [i] | ||
| 10 | Linear OOA(2152, 26, F2, 6, 132) (dual of [(26, 6), 4, 133]-NRT-code) | [i] | Juxtaposition for OOAs | |