Information on Result #906403
Linear OOA(5145, 75, F5, 2, 119) (dual of [(75, 2), 5, 120]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(526, 15, F5, 2, 23) (dual of [(15, 2), 4, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(526, 16, F5, 2, 23) (dual of [(16, 2), 6, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,8P) [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(526, 16, F5, 2, 23) (dual of [(16, 2), 6, 24]-NRT-code), using
- linear OOA(529, 15, F5, 2, 29) (dual of [(15, 2), 1, 30]-NRT-code), using
- dual of repetition NRT-code with length 15 [i]
- linear OOA(530, 15, F5, 2, 30) (dual of [(15, 2), 0, 31]-NRT-code), using
- linear OOA(530, 15, F5, 2, 30) (dual of [(15, 2), 0, 31]-NRT-code) (see above)
- linear OOA(530, 15, F5, 2, 30) (dual of [(15, 2), 0, 31]-NRT-code) (see above)
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(5145, 75, F5, 2, 118) (dual of [(75, 2), 5, 119]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5145, 75, F5, 2, 117) (dual of [(75, 2), 5, 118]-NRT-code) | [i] | ||
| 3 | Linear OOA(5145, 75, F5, 2, 116) (dual of [(75, 2), 5, 117]-NRT-code) | [i] | ||
| 4 | Linear OOA(5145, 75, F5, 2, 115) (dual of [(75, 2), 5, 116]-NRT-code) | [i] | ||
| 5 | Linear OOA(5145, 75, F5, 2, 114) (dual of [(75, 2), 5, 115]-NRT-code) | [i] | ||
| 6 | Linear OOA(5145, 75, F5, 2, 113) (dual of [(75, 2), 5, 114]-NRT-code) | [i] | ||
| 7 | Linear OOA(5147, 76, F5, 2, 119) (dual of [(76, 2), 5, 120]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 8 | Linear OOA(5143, 74, F5, 2, 117) (dual of [(74, 2), 5, 118]-NRT-code) | [i] | Truncation for OOAs | |
| 9 | Linear OOA(5141, 73, F5, 2, 115) (dual of [(73, 2), 5, 116]-NRT-code) | [i] | ||
| 10 | Linear OOA(5139, 72, F5, 2, 113) (dual of [(72, 2), 5, 114]-NRT-code) | [i] | ||
| 11 | Linear OOA(5137, 71, F5, 2, 111) (dual of [(71, 2), 5, 112]-NRT-code) | [i] | ||