Information on Result #912002
Linear OOA(2228, 130, F2, 2, 101) (dual of [(130, 2), 32, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(1618, 26, F16, 16) (dual of [26, 8, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), using
- extended algebraic-geometric code AGe(F,16P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), using
- linear OOA(26, 5, F2, 2, 5) (dual of [(5, 2), 4, 6]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,4P) [i] based on function field F/F2 with g(F) = 1 and N(F) ≥ 5, 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(2228, 130, F2, 2, 100) (dual of [(130, 2), 32, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2230, 131, F2, 2, 101) (dual of [(131, 2), 32, 102]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2229, 130, F2, 2, 101) (dual of [(130, 2), 31, 102]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2227, 129, F2, 2, 100) (dual of [(129, 2), 31, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(2228, 65, F2, 4, 101) (dual of [(65, 4), 32, 102]-NRT-code) | [i] | OOA Folding | |