Information on Result #910077
Linear OOA(5103, 53, F5, 2, 88) (dual of [(53, 2), 3, 89]-NRT-code), using juxtaposition based on
- linear OOA(53, 3, F5, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(53, 5, F5, 2, 3) (dual of [(5, 2), 7, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;7,5) [i]
- discarding factors / shortening the dual code based on linear OOA(53, 5, F5, 2, 3) (dual of [(5, 2), 7, 4]-NRT-code), using
- linear OOA(597, 50, F5, 2, 84) (dual of [(50, 2), 3, 85]-NRT-code), using
- repeating each code word 5 times [i] based on linear OOA(517, 10, F5, 2, 16) (dual of [(10, 2), 3, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,3P) [i] based on function field F/F5 with g(F) = 1 and N(F) ≥ 10, using
- repeating each code word 5 times [i] based on linear OOA(517, 10, F5, 2, 16) (dual of [(10, 2), 3, 17]-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(5103, 53, F5, 2, 87) (dual of [(53, 2), 3, 88]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5103, 53, F5, 2, 86) (dual of [(53, 2), 3, 87]-NRT-code) | [i] | ||
| 3 | Linear OOA(5103, 53, F5, 2, 85) (dual of [(53, 2), 3, 86]-NRT-code) | [i] | ||