Information on Result #909032
Linear OOA(2223, 113, F2, 2, 157) (dual of [(113, 2), 3, 158]-NRT-code), using juxtaposition based on
- linear OOA(23, 3, F2, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;3,2) [i]
- linear OOA(2217, 110, F2, 2, 153) (dual of [(110, 2), 3, 154]-NRT-code), using
- repeating each code word 22 times [i] based on linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- repeating each code word 22 times [i] based on linear OOA(27, 5, F2, 2, 6) (dual of [(5, 2), 3, 7]-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(2223, 113, F2, 2, 156) (dual of [(113, 2), 3, 157]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2223, 113, F2, 2, 155) (dual of [(113, 2), 3, 156]-NRT-code) | [i] | ||
| 3 | Linear OOA(2223, 113, F2, 2, 154) (dual of [(113, 2), 3, 155]-NRT-code) | [i] | ||
| 4 | Linear OOA(2223, 113, F2, 2, 153) (dual of [(113, 2), 3, 154]-NRT-code) | [i] | ||
| 5 | Linear OOA(2223, 113, F2, 2, 152) (dual of [(113, 2), 3, 153]-NRT-code) | [i] | ||
| 6 | Linear OOA(2223, 113, F2, 2, 151) (dual of [(113, 2), 3, 152]-NRT-code) | [i] | ||
| 7 | Linear OOA(2223, 113, F2, 2, 150) (dual of [(113, 2), 3, 151]-NRT-code) | [i] | ||
| 8 | Linear OOA(2223, 113, F2, 2, 149) (dual of [(113, 2), 3, 150]-NRT-code) | [i] | ||
| 9 | Linear OOA(2223, 113, F2, 2, 148) (dual of [(113, 2), 3, 149]-NRT-code) | [i] | ||
| 10 | Linear OOA(2223, 113, F2, 2, 147) (dual of [(113, 2), 3, 148]-NRT-code) | [i] | ||
| 11 | Linear OOA(2223, 113, F2, 2, 146) (dual of [(113, 2), 3, 147]-NRT-code) | [i] | ||
| 12 | Linear OOA(2223, 113, F2, 2, 145) (dual of [(113, 2), 3, 146]-NRT-code) | [i] | ||
| 13 | Linear OOA(2223, 113, F2, 2, 144) (dual of [(113, 2), 3, 145]-NRT-code) | [i] | ||
| 14 | Linear OOA(2223, 113, F2, 2, 143) (dual of [(113, 2), 3, 144]-NRT-code) | [i] | ||
| 15 | Linear OOA(2216, 109, F2, 2, 150) (dual of [(109, 2), 2, 151]-NRT-code) | [i] | Truncation for OOAs | |
| 16 | Linear OOA(2215, 109, F2, 2, 149) (dual of [(109, 2), 3, 150]-NRT-code) | [i] | ||
| 17 | Linear OOA(2212, 107, F2, 2, 146) (dual of [(107, 2), 2, 147]-NRT-code) | [i] | ||
| 18 | Linear OOA(2205, 104, F2, 2, 139) (dual of [(104, 2), 3, 140]-NRT-code) | [i] | ||
| 19 | Linear OOA(2204, 103, F2, 2, 138) (dual of [(103, 2), 2, 139]-NRT-code) | [i] | ||
| 20 | Linear OOA(2229, 116, F2, 2, 161) (dual of [(116, 2), 3, 162]-NRT-code) | [i] | Juxtaposition for OOAs | |