Information on Result #909011
Linear OOA(2153, 78, F2, 2, 108) (dual of [(78, 2), 3, 109]-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(2147, 75, F2, 2, 104) (dual of [(75, 2), 3, 105]-NRT-code), using
- repeating each code word 15 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 15 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(2153, 78, F2, 2, 107) (dual of [(78, 2), 3, 108]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2153, 78, F2, 2, 106) (dual of [(78, 2), 3, 107]-NRT-code) | [i] | ||
| 3 | Linear OOA(2153, 78, F2, 2, 105) (dual of [(78, 2), 3, 106]-NRT-code) | [i] | ||
| 4 | Linear OOA(2153, 78, F2, 2, 104) (dual of [(78, 2), 3, 105]-NRT-code) | [i] | ||
| 5 | Linear OOA(2152, 77, F2, 2, 107) (dual of [(77, 2), 2, 108]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(2145, 74, F2, 2, 100) (dual of [(74, 2), 3, 101]-NRT-code) | [i] | ||
| 7 | Linear OOA(2144, 73, F2, 2, 99) (dual of [(73, 2), 2, 100]-NRT-code) | [i] | ||
| 8 | Linear OOA(2140, 71, F2, 2, 95) (dual of [(71, 2), 2, 96]-NRT-code) | [i] | ||
| 9 | Linear OOA(2159, 81, F2, 2, 112) (dual of [(81, 2), 3, 113]-NRT-code) | [i] | Juxtaposition for OOAs | |
| 10 | Linear OOA(2153, 39, F2, 4, 108) (dual of [(39, 4), 3, 109]-NRT-code) | [i] | OOA Folding | |