Information on Result #1088087
Linear OOA(2213, 66, F2, 4, 99) (dual of [(66, 4), 51, 100]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(827, 22, F8, 2, 24) (dual of [(22, 2), 17, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(827, 24, F8, 2, 24) (dual of [(24, 2), 21, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,23P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(2;F,23P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OOA(827, 24, F8, 2, 24) (dual of [(24, 2), 21, 25]-NRT-code), using
- 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]
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(2213, 66, F2, 4, 98) (dual of [(66, 4), 51, 99]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2213, 66, F2, 4, 97) (dual of [(66, 4), 51, 98]-NRT-code) | [i] | ||
| 3 | Linear OOA(2212, 65, F2, 4, 98) (dual of [(65, 4), 48, 99]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(2213, 33, F2, 7, 99) (dual of [(33, 7), 18, 100]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2213, 33, F2, 8, 99) (dual of [(33, 8), 51, 100]-NRT-code) | [i] | ||