Information on Result #1087091
Linear OOA(2201, 51, F2, 4, 172) (dual of [(51, 4), 3, 173]-NRT-code), using juxtaposition based on
- linear OOA(29, 3, F2, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;3,2) [i]
- linear OOA(2189, 48, F2, 4, 162) (dual of [(48, 4), 3, 163]-NRT-code), using
- juxtaposition [i] based on
- linear OOA(29, 3, F2, 4, 9) (dual of [(3, 4), 3, 10]-NRT-code) (see above)
- linear OOA(2177, 45, F2, 4, 152) (dual of [(45, 4), 3, 153]-NRT-code), using
- repeating each code word 9 times [i] based on linear OOA(217, 5, F2, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,3P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, using
- repeating each code word 9 times [i] based on linear OOA(217, 5, F2, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
- juxtaposition [i] based on
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(2201, 51, F2, 4, 171) (dual of [(51, 4), 3, 172]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2201, 51, F2, 4, 170) (dual of [(51, 4), 3, 171]-NRT-code) | [i] | ||
| 3 | Linear OOA(2194, 49, F2, 4, 165) (dual of [(49, 4), 2, 166]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2193, 49, F2, 4, 164) (dual of [(49, 4), 3, 165]-NRT-code) | [i] | ||
| 5 | Linear OOA(2186, 47, F2, 4, 157) (dual of [(47, 4), 2, 158]-NRT-code) | [i] | ||
| 6 | Linear OOA(2173, 44, F2, 4, 144) (dual of [(44, 4), 3, 145]-NRT-code) | [i] | ||